-
question_answer1)
Two bodies of masses \[{{m}_{1}}\] and \[{{m}_{2}}\] have equal kinetic energies. If \[{{p}_{1}}\] and \[{{p}_{2}}\] are their respective momentum, then ratio \[{{p}_{1}}:{{p}_{2}}\] is equal to [MP PMT 1985; CPMT 1990]
A)
\[{{m}_{1}}:{{m}_{2}}\] done
clear
B)
\[{{m}_{2}}:{{m}_{1}}\] done
clear
C)
\[\sqrt{{{m}_{1}}}:\sqrt{{{m}_{2}}}\] done
clear
D)
\[m_{1}^{2}:m_{2}^{2}\] done
clear
View Solution play_arrow
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question_answer2)
Work done in raising a box depends on
A)
How fast it is raised done
clear
B)
The strength of the man done
clear
C)
The height by which it is raised done
clear
D)
None of the above done
clear
View Solution play_arrow
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question_answer3)
A light and a heavy body have equal momenta. Which one has greater K.E [MP PMT 1985; CPMT 1985; Kerala PMT 2004]
A)
The light body done
clear
B)
The heavy body done
clear
C)
The K.E. are equal done
clear
D)
Data is incomplete done
clear
View Solution play_arrow
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question_answer4)
A body at rest may have
A)
Energy done
clear
B)
Momentum done
clear
C)
Speed done
clear
D)
Velocity done
clear
View Solution play_arrow
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question_answer5)
The kinetic energy possessed by a body of mass m moving with a velocity v is equal to \[\frac{1}{2}m{{v}^{2}}\], provided
A)
The body moves with velocities comparable to that of light done
clear
B)
The body moves with velocities negligible compared to the speed of light done
clear
C)
The body moves with velocities greater than that of light done
clear
D)
None of the above statement is correct done
clear
View Solution play_arrow
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question_answer6)
If the momentum of a body is increased n times, its kinetic energy increases
A)
n times done
clear
B)
2n times done
clear
C)
\[\sqrt{n}\]times done
clear
D)
\[{{n}^{2}}\] times done
clear
View Solution play_arrow
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question_answer7)
When work is done on a body by an external force, its
A)
Only kinetic energy increases done
clear
B)
Only potential energy increases done
clear
C)
Both kinetic and potential energies may increase done
clear
D)
Sum of kinetic and potential energies remains constant done
clear
View Solution play_arrow
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question_answer8)
The bob of a simple pendulum (mass m and length l) dropped from a horizontal position strikes a block of the same mass elastically placed on a horizontal frictionless table. The K.E. of the block will be
A)
2 mgl done
clear
B)
mgl/2 done
clear
C)
mgl done
clear
D)
0 done
clear
View Solution play_arrow
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question_answer9)
From a stationary tank of mass 125000 pound a small shell of mass 25 pound is fired with a muzzle velocity of 1000 ft/sec. The tank recoils with a velocity of [NCERT 1973]
A)
0.1 ft/sec done
clear
B)
0.2 ft/sec done
clear
C)
0.4 ft/sec done
clear
D)
0.8 ft/sec done
clear
View Solution play_arrow
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question_answer10)
A bomb of 12 kg explodes into two pieces of masses 4 kg and 8 kg. The velocity of 8kg mass is 6 m/sec. The kinetic energy of the other mass is [MNR 1985; CPMT 1991; Manipal MEE 1995; Pb. PET 2004]
A)
48 J done
clear
B)
32 J done
clear
C)
24 J done
clear
D)
288 J done
clear
View Solution play_arrow
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question_answer11)
A rifle bullet loses 1/20th of its velocity in passing through a plank. The least number of such planks required just to stop the bullet is [EAMCET 1987; AFMC 2004]
A)
5 done
clear
B)
10 done
clear
C)
11 done
clear
D)
20 done
clear
View Solution play_arrow
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question_answer12)
A body of mass 2 kg is thrown up vertically with K.E. of 490 joules. If the acceleration due to gravity is 9.8\[m/{{s}^{2}}\], then the height at which the K.E. of the body becomes half its original value is given by [EAMCET 1986]
A)
50 m done
clear
B)
12.5 m done
clear
C)
25 m done
clear
D)
10 m done
clear
View Solution play_arrow
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question_answer13)
Two masses of 1 gm and 4 gm are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is [AIIMS 1987; NCERT 1983; MP PMT 1993; IIT 1980; RPET 1996; CBSE PMT 1997; Orissa JEE 2003; KCET 1999; DCE 2004]
A)
4 : 1 done
clear
B)
\[\sqrt{2}:1\] done
clear
C)
1 : 2 done
clear
D)
1 : 16 done
clear
View Solution play_arrow
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question_answer14)
If the K.E. of a body is increased by 300%, its momentum will increase by [JIPMER 1978; AFMC 1993; RPET 1999; CBSE PMT 2002]
A)
100% done
clear
B)
150% done
clear
C)
\[\sqrt{300}%\] done
clear
D)
175% done
clear
View Solution play_arrow
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question_answer15)
A light and a heavy body have equal kinetic energy. Which one has a greater momentum? [NCERT 1974; CPMT 1997; DPMT 2001]
A)
The light body done
clear
B)
The heavy body done
clear
C)
Both have equal momentum done
clear
D)
It is not possible to say anything without additional information done
clear
View Solution play_arrow
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question_answer16)
If the linear momentum is increased by 50%, the kinetic energy will increase by [CPMT 1983; MP PMT 1994; MP PET 1996, 99; UPSEAT 2001]
A)
50% done
clear
B)
100% done
clear
C)
125% done
clear
D)
25% done
clear
View Solution play_arrow
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question_answer17)
A free body of mass 8 kg is travelling at 2 meter per second in a straight line. At a certain instant, the body splits into two equal parts due to internal explosion which releases 16 joules of energy. Neither part leaves the original line of motion finally [NCERT 1979]
A)
Both parts continue to move in the same direction as that of the original body done
clear
B)
One part comes to rest and the other moves in the same direction as that of the original body done
clear
C)
One part comes to rest and the other moves in the direction opposite to that of the original body done
clear
D)
One part moves in the same direction and the other in the direction opposite to that of the original body done
clear
View Solution play_arrow
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question_answer18)
If the K.E. of a particle is doubled, then its momentum will [EAMCET 1979; CPMT 2003: Kerala PMT 2005]
A)
Remain unchanged done
clear
B)
Be doubled done
clear
C)
Be quadrupled done
clear
D)
Increase \[\sqrt{2}\] times done
clear
View Solution play_arrow
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question_answer19)
If the stone is thrown up vertically and return to ground, its potential energy is maximum [EAMCET 1979]
A)
During the upward journey done
clear
B)
At the maximum height done
clear
C)
During the return journey done
clear
D)
At the bottom done
clear
View Solution play_arrow
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question_answer20)
A body of mass 2 kg is projected vertically upwards with a velocity of \[2\,m\,{{\sec }^{-1}}\]. The K.E. of the body just before striking the ground is [EAMCET 1980]
A)
2 J done
clear
B)
1 J done
clear
C)
4 J done
clear
D)
8 J done
clear
View Solution play_arrow
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question_answer21)
The energy stored in wound watch spring is [EAMCET 1982]
A)
K.E. done
clear
B)
P.E. done
clear
C)
Heat energy done
clear
D)
Chemical energy done
clear
View Solution play_arrow
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question_answer22)
Two bodies of different masses \[{{m}_{1}}\] and \[{{m}_{2}}\] have equal momenta. Their kinetic energies \[{{E}_{1}}\] and \[{{E}_{2}}\] are in the ratio [EAMCET 1990]
A)
\[\sqrt{{{m}_{1}}}:\sqrt{{{m}_{2}}}\] done
clear
B)
\[{{m}_{1}}:{{m}_{2}}\] done
clear
C)
\[{{m}_{2}}:{{m}_{1}}\] done
clear
D)
\[m_{1}^{2}:m_{2}^{2}\] done
clear
View Solution play_arrow
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question_answer23)
A car travelling at a speed of 30 km/hour is brought to a halt in 8 m by applying brakes. If the same car is travelling at 60 km/hour, it can be brought to a halt with the same braking force in [NCERT 1976]
A)
8 m done
clear
B)
16 m done
clear
C)
24 m done
clear
D)
32 m done
clear
View Solution play_arrow
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question_answer24)
Tripling the speed of the motor car multiplies the distance needed for stopping it by [NCERT 1978]
A)
3 done
clear
B)
6 done
clear
C)
9 done
clear
D)
Some other number done
clear
View Solution play_arrow
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question_answer25)
If the kinetic energy of a body increases by 0.1%, the percent increase of its momentum will be [MP PMT 1994]
A)
0.05% done
clear
B)
0.1% done
clear
C)
1.0% done
clear
D)
10% done
clear
View Solution play_arrow
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question_answer26)
If velocity of a body is twice of previous velocity, then kinetic energy will become [AFMC 1996]
A)
2 times done
clear
B)
\[\frac{1}{2}\]times done
clear
C)
4 times done
clear
D)
1 times done
clear
View Solution play_arrow
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question_answer27)
Two bodies A and B having masses in the ratio of 3 : 1 possess the same kinetic energy. The ratio of their linear momenta is then [Haryana CEE 1996]
A)
3 : 1 done
clear
B)
9 : 1 done
clear
C)
1 : 1 done
clear
D)
\[\sqrt{3}:1\] done
clear
View Solution play_arrow
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question_answer28)
In which case does the potential energy decrease [MP PET 1996]
A)
On compressing a spring done
clear
B)
On stretching a spring done
clear
C)
On moving a body against gravitational force done
clear
D)
On the rising of an air bubble in water done
clear
View Solution play_arrow
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question_answer29)
A sphere of mass m, moving with velocity V, enters a hanging bag of sand and stops. If the mass of the bag is M and it is raised by height h, then the velocity of the sphere was [MP PET 1997]
A)
\[\frac{M+m}{m}\sqrt{2gh}\] done
clear
B)
\[\frac{M}{m}\sqrt{2gh}\] done
clear
C)
\[\frac{m}{M+m}\sqrt{2gh}\] done
clear
D)
\[\frac{m}{M}\sqrt{2gh}\] done
clear
View Solution play_arrow
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question_answer30)
Two bodies of masses m and 2m have same momentum. Their respective kinetic energies \[{{E}_{1}}\] and \[{{E}_{2}}\] are in the ratio [MP PET 1997; KCET 2004]
A)
1 : 2 done
clear
B)
2 : 1 done
clear
C)
\[1:\sqrt{2}\] done
clear
D)
1 : 4 done
clear
View Solution play_arrow
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question_answer31)
If a lighter body (mass \[{{M}_{1}}\] and velocity \[{{V}_{1}}\]) and a heavier body (mass \[{{M}_{2}}\] and velocity \[{{V}_{2}}\]) have the same kinetic energy, then [MP PMT 1997]
A)
\[{{M}_{2}}{{V}_{2}}<{{M}_{1}}{{V}_{1}}\] done
clear
B)
\[{{M}_{2}}{{V}_{2}}={{M}_{1}}{{V}_{1}}\] done
clear
C)
\[{{M}_{2}}{{V}_{1}}={{M}_{1}}{{V}_{2}}\] done
clear
D)
\[{{M}_{2}}{{V}_{2}}>{{M}_{1}}{{V}_{1}}\] done
clear
View Solution play_arrow
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question_answer32)
A frictionless track ABCDE ends in a circular loop of radius R. A body slides down the track from point A which is at a height h = 5 cm. Maximum value of R for the body to successfully complete the loop is [MP PMT/PET 1998]
A)
5 cm done
clear
B)
\[\frac{15}{4}\,cm\] done
clear
C)
\[\frac{10}{3}\,cm\] done
clear
D)
2 cm done
clear
View Solution play_arrow
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question_answer33)
The force constant of a weightless spring is 16 N/m. A body of mass 1.0 kg suspended from it is pulled down through 5 cm and then released. The maximum kinetic energy of the system (spring + body) will be [MP PET 1999; DPMT 2000]
A)
\[2\times {{10}^{-2}}\,J\] done
clear
B)
\[4\times {{10}^{-2}}\,J\] done
clear
C)
\[8\times {{10}^{-2}}\,J\] done
clear
D)
\[16\times {{10}^{-2}}\,J\] done
clear
View Solution play_arrow
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question_answer34)
Two bodies with kinetic energies in the ratio of 4 : 1 are moving with equal linear momentum. The ratio of their masses is [CBSE PMT 1999]
A)
1 : 2 done
clear
B)
1 : 1 done
clear
C)
4 : 1 done
clear
D)
1 : 4 done
clear
View Solution play_arrow
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question_answer35)
If the kinetic energy of a body becomes four times of its initial value, then new momentum will [AIIMS 1998; AIIMS 2002; KCET 2000; J & K CET 2004]
A)
Becomes twice its initial value done
clear
B)
Become three times its initial value done
clear
C)
Become four times its initial value done
clear
D)
Remains constant done
clear
View Solution play_arrow
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question_answer36)
A bullet is fired from a rifle. If the rifle recoils freely, then the kinetic energy of the rifle is [AIIMS 1998; JIPMER 2001; UPSEAT 2000]
A)
Less than that of the bullet done
clear
B)
More than that of the bullet done
clear
C)
Same as that of the bullet done
clear
D)
Equal or less than that of the bullet done
clear
View Solution play_arrow
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question_answer37)
If the water falls from a dam into a turbine wheel 19.6 m below, then the velocity of water at the turbine is \[(g=9.8\,m/{{s}^{2}})\] [AIIMS 1998]
A)
9.8 m/s done
clear
B)
19.6 m/s done
clear
C)
39.2 m/s done
clear
D)
98.0 m/s done
clear
View Solution play_arrow
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question_answer38)
Two bodies of masses 2m and m have their K.E. in the ratio 8 : 1, then their ratio of momenta is [EAMCET (Engg.) 1995]
A)
1 : 1 done
clear
B)
2 : 1 done
clear
C)
4 : 1 done
clear
D)
8 : 1 done
clear
View Solution play_arrow
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question_answer39)
A bomb of 12 kg divides in two parts whose ratio of masses is 1 : 3. If kinetic energy of smaller part is 216 J, then momentum of bigger part in kg-m/sec will be [RPET 1997]
A)
36 done
clear
B)
72 done
clear
C)
108 done
clear
D)
Data is incomplete done
clear
View Solution play_arrow
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question_answer40)
A 4 kg mass and a 1 kg mass are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is [CBSE PMT 1993; Orissa JEE 2003]
A)
1 : 2 done
clear
B)
1 : 1 done
clear
C)
2 : 1 done
clear
D)
4 : 1 done
clear
View Solution play_arrow
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question_answer41)
Two identical cylindrical vessels with their bases at same level each contains a liquid of density r. The height of the liquid in one vessel is \[{{h}_{1}}\] and that in the other vessel is \[{{h}_{2}}\]. The area of either base is A. The work done by gravity in equalizing the levels when the two vessels are connected, is [SCRA 1996]
A)
\[({{h}_{1}}-{{h}_{2}})g\rho \] done
clear
B)
\[({{h}_{1}}-{{h}_{2}})gA\rho \] done
clear
C)
\[\frac{1}{2}{{({{h}_{1}}-{{h}_{2}})}^{2}}gA\rho \] done
clear
D)
\[\frac{1}{4}{{({{h}_{1}}-{{h}_{2}})}^{2}}gA\rho \] done
clear
View Solution play_arrow
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question_answer42)
If the increase in the kinetic energy of a body is 22%, then the increase in the momentum will be [RPET 1996; DPMT 2000]
A)
22% done
clear
B)
44% done
clear
C)
10% done
clear
D)
300% done
clear
View Solution play_arrow
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question_answer43)
If a body of mass 200 g falls from a height 200 m and its total P.E. is converted into K.E. at the point of contact of the body with earth surface, then what is the decrease in P.E. of the body at the contact \[(g=10\,m/{{s}^{2}})\] [AFMC 1997]
A)
200 J done
clear
B)
400 J done
clear
C)
600 J done
clear
D)
900 J done
clear
View Solution play_arrow
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question_answer44)
If momentum is increased by 20%, then K.E. increases by [AFMC 1997; MP PMT 2004]
A)
44% done
clear
B)
55% done
clear
C)
66% done
clear
D)
77% done
clear
View Solution play_arrow
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question_answer45)
The kinetic energy of a body of mass 2 kg and momentum of 2 Ns is [AFMC 1998; DPMT 2000]
A)
1 J done
clear
B)
2 J done
clear
C)
3 J done
clear
D)
4 J done
clear
View Solution play_arrow
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question_answer46)
The decrease in the potential energy of a ball of mass 20 kg which falls from a height of 50 cm is [AIIMS 1997]
A)
968 J done
clear
B)
98 J done
clear
C)
1980 J done
clear
D)
None of these done
clear
View Solution play_arrow
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question_answer47)
An object of 1 kg mass has a momentum of 10 kg m/sec then the kinetic energy of the object will be [RPMT 1999]
A)
100 J done
clear
B)
50 J done
clear
C)
1000 J done
clear
D)
200 J done
clear
View Solution play_arrow
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question_answer48)
A ball is released from certain height. It loses 50% of its kinetic energy on striking the ground. It will attain a height again equal to [RPMT 2000]
A)
One fourth the initial height done
clear
B)
Half the initial height done
clear
C)
Three fourth initial height done
clear
D)
None of these done
clear
View Solution play_arrow
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question_answer49)
A 0.5 kg ball is thrown up with an initial speed 14 m/s and reaches a maximum height of 8.0m. How much energy is dissipated by air drag acting on the ball during the ascent [AMU (Med.) 2000]
A)
\[19.6Joule\] done
clear
B)
\[4.9\,Joule\] done
clear
C)
\[10\,Joule\] done
clear
D)
\[9.8\,Joule\] done
clear
View Solution play_arrow
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question_answer50)
An ice cream has a marked value of 700 kcal. How many kilowatt- hour of energy will it deliver to the body as it is digested [AMU (Med.) 2000]
A)
\[0.81\,kWh\] done
clear
B)
\[0.90\,kWh\] done
clear
C)
\[1.11kWh\] done
clear
D)
\[0.71\,kWh\] done
clear
View Solution play_arrow
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question_answer51)
What is the velocity of the bob of a simple pendulum at its mean position, if it is able to rise to vertical height of \[10cm\] (Take \[g=9.8\,m/{{s}^{2}})\] [BHU 2000]
A)
0.6 m/s done
clear
B)
1.4 m/s done
clear
C)
1.8 m/s done
clear
D)
2.2 m/s done
clear
View Solution play_arrow
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question_answer52)
A particle of mass 'm' and charge 'q' is accelerated through a potential difference of 'V' volt. Its energy is [UPSEAT 2001]
A)
\[qV\] done
clear
B)
\[mq\,V\] done
clear
C)
\[\left( \frac{q}{m} \right)\,V\] done
clear
D)
\[\frac{q}{m\,V}\] done
clear
View Solution play_arrow
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question_answer53)
A running man has half the kinetic energy of that of a boy of half of his mass. The man speeds up by 1m/s so as to have same K.E. as that of the boy. The original speed of the man will be [Pb. PMT 2001]
A)
\[\sqrt{2}\,m/s\] done
clear
B)
\[(\sqrt{2}-1)\,m/s\] done
clear
C)
\[\frac{1}{(\sqrt{2}-1)}m/s\] done
clear
D)
\[\frac{1}{\sqrt{2}}m/s\] done
clear
View Solution play_arrow
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question_answer54)
The mass of two substances are 4gm and \[9gm\] respectively. If their kinetic energies are same, then the ratio of their momenta will be [CPMT 2001]
A)
4 : 9 done
clear
B)
9 : 4 done
clear
C)
3 : 2 done
clear
D)
2 : 3 done
clear
View Solution play_arrow
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question_answer55)
If the momentum of a body is increased by 100%, then the percentage increase in the kinetic energy is [BHU 1999; Pb. PMT 1999; CPMT 2000; CBSE PMT 2001; BCECE 2004]
A)
150% done
clear
B)
200% done
clear
C)
225% done
clear
D)
300% done
clear
View Solution play_arrow
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question_answer56)
If a body looses half of its velocity on penetrating 3 cm in a wooden block, then how much will it penetrate more before coming to rest [AIEEE 2002; DCE 2002]
A)
1 cm done
clear
B)
2 cm done
clear
C)
3 cm done
clear
D)
4 cm done
clear
View Solution play_arrow
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question_answer57)
A bomb of mass 9kg explodes into 2 pieces of mass 3kg and 6kg. The velocity of mass 3kg is 1.6 m/s, the K.E. of mass 6kg is [AIEEE 2002]
A)
3.84 J done
clear
B)
9.6 J done
clear
C)
1.92 J done
clear
D)
2.92 J done
clear
View Solution play_arrow
-
question_answer58)
Two masses of 1kg and 16kg are moving with equal K.E. The ratio of magnitude of the linear momentum is [AIEEE 2002]
A)
1 : 2 done
clear
B)
1 : 4 done
clear
C)
\[1\,:\,\sqrt{2}\] done
clear
D)
\[\sqrt{2}\,:\,1\] done
clear
View Solution play_arrow
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question_answer59)
A machine which is 75 percent efficient, uses 12 joules of energy in lifting up a 1 kg mass through a certain distance. The mass is then allowed to fall through that distance. The velocity at the end of its fall is (in \[m{{s}^{-1}})\][Kerala PMT 2002]
A)
\[\sqrt{24}\] done
clear
B)
\[\sqrt{32}\] done
clear
C)
\[\sqrt{18}\] done
clear
D)
\[\sqrt{9}\] done
clear
View Solution play_arrow
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question_answer60)
Two bodies moving towards each other collide and move away in opposite directions. There is some rise in temperature of bodies because a part of the kinetic energy is converted into [BHU 2002]
A)
Heat energy done
clear
B)
Electrical energy done
clear
C)
Nuclear energy done
clear
D)
Mechanical energy done
clear
View Solution play_arrow
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question_answer61)
A particle of mass m at rest is acted upon by a force F for a time t. Its Kinetic energy after an interval t is [Kerala PET 2002]
A)
\[\frac{{{F}^{2}}{{t}^{2}}}{m}\] done
clear
B)
\[\frac{{{F}^{2}}{{t}^{2}}}{2m}\] done
clear
C)
\[\frac{{{F}^{2}}{{t}^{2}}}{3m}\] done
clear
D)
\[\frac{F\,t}{2m}\] done
clear
View Solution play_arrow
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question_answer62)
The potential energy of a weight less spring compressed by a distance a is proportional to [MP PET 2003]
A)
\[a\] done
clear
B)
\[{{a}^{2}}\] done
clear
C)
\[{{a}^{-2}}\] done
clear
D)
\[{{a}^{0}}\] done
clear
View Solution play_arrow
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question_answer63)
Two identical blocks A and B, each of mass 'm' resting on smooth floor are connected by a light spring of natural length L and spring constant K, with the spring at its natural length. A third identical block 'C' (mass m) moving with a speed v along the line joining A and B collides with A. the maximum compression in the spring is [EAMCET 2003]
A)
\[v\sqrt{\frac{m}{2k}}\] done
clear
B)
\[m\sqrt{\frac{v}{2k}}\] done
clear
C)
\[\sqrt{\frac{mv}{k}}\] done
clear
D)
\[\frac{mv}{2k}\] done
clear
View Solution play_arrow
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question_answer64)
Two bodies of masses m and 4 m are moving with equal K.E. The ratio of their linear momentums is [Orissa JEE 2003; AIIMS 1999]
A)
4 : 1 done
clear
B)
1 : 1 done
clear
C)
1 : 2 done
clear
D)
1 : 4 done
clear
View Solution play_arrow
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question_answer65)
A stationary particle explodes into two particles of a masses m1 and m2 which move in opposite directions with velocities \[{{v}_{1}}\] and \[{{v}_{2}}.\] The ratio of their kinetic energies \[{{E}_{1}}/{{E}_{2}}\]is [CBSE PMT 2003]
A)
\[{{m}_{1}}/{{m}_{2}}\] done
clear
B)
1 done
clear
C)
\[{{m}_{1}}{{v}_{2}}/{{m}_{2}}{{v}_{1}}\] done
clear
D)
\[{{m}_{2}}/{{m}_{1}}\] done
clear
View Solution play_arrow
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question_answer66)
The kinetic energy of a body of mass 3 kg and momentum 2 Ns is [MP PET 2004]
A)
1 J done
clear
B)
\[\frac{2}{3}J\] done
clear
C)
\[\frac{3}{2}J\] done
clear
D)
4 J done
clear
View Solution play_arrow
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question_answer67)
A bomb of mass 3.0 Kg explodes in air into two pieces of masses 2.0 kg and 1.0 kg. The smaller mass goes at a speed of 80 m/s. The total energy imparted to the two fragments is [AIIMS 2004]
A)
1.07 kJ done
clear
B)
2.14 kJ done
clear
C)
2.4 kJ done
clear
D)
4.8 KJ done
clear
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question_answer68)
A bullet moving with a speed of 100 \[m{{s}^{-1}}\]can just penetrate two planks of equal thickness. Then the number of such planks penetrated by the same bullet when the speed is doubled will be [KCET 2004]
A)
4 done
clear
B)
8 done
clear
C)
6 done
clear
D)
10 done
clear
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question_answer69)
A particle of mass \[{{m}_{1}}\] is moving with a velocity \[{{v}_{1}}\]and another particle of mass \[{{m}_{2}}\]is moving with a velocity \[{{v}_{2}}\]. Both of them have the same momentum but their different kinetic energies are \[{{E}_{1}}\]and \[{{E}_{2}}\]respectively. If \[{{m}_{1}}>{{m}_{2}}\] then [CBSE PMT 2004]
A)
\[{{E}_{1}}<{{E}_{2}}\] done
clear
B)
\[\frac{{{E}_{1}}}{{{E}_{2}}}=\frac{{{m}_{1}}}{{{m}_{2}}}\] done
clear
C)
\[{{E}_{1}}>{{E}_{2}}\] done
clear
D)
\[{{E}_{1}}={{E}_{2}}\] done
clear
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question_answer70)
A ball of mass 2kg and another of mass 4kg are dropped together from a 60 feet tall building. After a fall of 30 feet each towards earth, their respective kinetic energies will be in the ratio of [CBSE PMT 2004]
A)
\[\sqrt{2}:1\] done
clear
B)
\[1:4\] done
clear
C)
\[1:2\] done
clear
D)
\[1:\sqrt{2}\] done
clear
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question_answer71)
Four particles given, have same momentum which has maximum kinetic energy [Orissa PMT 2004]
A)
Proton done
clear
B)
Electron done
clear
C)
Deutron done
clear
D)
\[\alpha \]-particles done
clear
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question_answer72)
A body moving with velocity v has momentum and kinetic energy numerically equal. What is the value of v [Pb. PMT 2002; J&K CET 2004]
A)
2m/s done
clear
B)
\[\sqrt{2}m/s\] done
clear
C)
1m/s done
clear
D)
\[0.2\ m/s\] done
clear
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question_answer73)
An object of mass 3m splits into three equal fragments. Two fragments have velocities \[v\hat{j}\] and \[v\hat{i}\]. The velocity of the third fragment is [UPSEAT 2004]
A)
\[v(\hat{j}-\hat{i})\] done
clear
B)
\[v(\hat{i}-\hat{j})\] done
clear
C)
\[-v(\hat{i}+\hat{j})\] done
clear
D)
\[\frac{v(\hat{i}+\hat{j})}{\sqrt{2}}\] done
clear
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question_answer74)
A bomb is kept stationary at a point. It suddenly explodes into two fragments of masses 1 g and \[3\ g\]. The total K.E. of the fragments is \[6.4\times {{10}^{4}}J\]. What is the K.E. of the smaller fragment [DCE 2004]
A)
\[2.5\times {{10}^{4}}J\] done
clear
B)
\[3.5\times {{10}^{4}}J\] done
clear
C)
\[4.8\times {{10}^{4}}J\] done
clear
D)
\[5.2\times {{10}^{4}}J\] done
clear
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question_answer75)
Which among the following, is a form of energy [DCE 2004]
A)
Light done
clear
B)
Pressure done
clear
C)
Momentum done
clear
D)
Power done
clear
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question_answer76)
A body is moving with a velocity v, breaks up into two equal parts. One of the part retraces back with velocity v. Then the velocity of the other part is [DCE 2004]
A)
v in forward direction done
clear
B)
3v in forward direction done
clear
C)
v in backward direction done
clear
D)
3v in backward direction done
clear
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question_answer77)
If a shell fired from a cannon, explodes in mid air, then [Pb. PET 2004]
A)
Its total kinetic energy increases done
clear
B)
Its total momentum increases done
clear
C)
Its total momentum decreases done
clear
D)
None of these done
clear
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question_answer78)
A particle of mass m moving with velocity \[{{V}_{0}}\]strikes a simple pendulum of mass \[m\]and sticks to it. The maximum height attained by the pendulum will be [RPET 2002]
A)
\[h=\frac{V_{0}^{2}}{8g}\] done
clear
B)
\[\sqrt{{{V}_{0}}g}\] done
clear
C)
\[2\sqrt{\frac{{{V}_{0}}}{g}}\] done
clear
D)
\[\frac{V_{0}^{2}}{4g}\] done
clear
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question_answer79)
Masses of two substances are 1 g and 9 g respectively. If their kinetic energies are same, then the ratio of their momentum will be [BHU 2004]
A)
1 : 9 done
clear
B)
9 : 1 done
clear
C)
3 : 1 done
clear
D)
1 : 3 done
clear
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question_answer80)
A body of mass 5 kg is moving with a momentum of 10 kg-m/s. A force of 0.2 N acts on it in the direction of motion of the body for 10 seconds. The increase in its kinetic energy is [MP PET 1999]
A)
2.8 Joule done
clear
B)
3.2 Joule done
clear
C)
3.8 Joule done
clear
D)
4.4 Joule done
clear
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question_answer81)
If the momentum of a body increases by 0.01%, its kinetic energy will increase by [MP PET 2001]
A)
0.01% done
clear
B)
0.02% done
clear
C)
0.04% done
clear
D)
0.08% done
clear
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question_answer82)
1 a.m.u. is equivalent to [UPSEAT 2001]
A)
\[1.6\times {{10}^{-12}}Joule\] done
clear
B)
\[1.6\times {{10}^{-19}}Joule\] done
clear
C)
\[1.5\,\times {{10}^{-10}}Joule\] done
clear
D)
\[1.5\times {{10}^{-19}}Joule\] done
clear
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question_answer83)
A block of mass m initially at rest is dropped from a height h on to a spring of force constant k. the maximum compression in the spring is x then [BCECE 2005]
A)
\[mgh=\frac{1}{2}k{{x}^{2}}\] done
clear
B)
\[mg(h+x)=\frac{1}{2}k{{x}^{2}}\] done
clear
C)
\[mgh=\frac{1}{2}k{{(x+h)}^{2}}\] done
clear
D)
\[mg(h+x)=\frac{1}{2}k{{(x+h)}^{2}}\] done
clear
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question_answer84)
A spherical ball of mass 20 kg is stationary at the top of a hill of height 100 m. It slides down a smooth surface to the ground, then climbs up another hill of height 30 m and finally slides down to a horizontal base at a height of 20 m above the ground. The velocity attained by the ball is [AIEEE 2005]
A)
10 m/s done
clear
B)
\[10\sqrt{30}\]m/s done
clear
C)
40 m/s done
clear
D)
20 m/s done
clear
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question_answer85)
The block of mass M moving on the frictionless horizontal surface collides with the spring of spring constant K and compresses it by length L. The maximum momentum of the block after collision is [AIEEE 2005]
A)
Zero done
clear
B)
\[\frac{M{{L}^{2}}}{K}\] done
clear
C)
\[\sqrt{MK}\,L\] done
clear
D)
\[\frac{K{{L}^{2}}}{2M}\] done
clear
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question_answer86)
A bomb of mass \[30kg\]at rest explodes into two pieces of masses \[18\,kg\] and \[12\,kg\]. The velocity of \[18\,kg\]mass is \[6\,m{{s}^{-1}}\]. The kinetic energy of the other mass is [CBSE PMT 2005]
A)
256 J done
clear
B)
486 J done
clear
C)
524 J done
clear
D)
324 J done
clear
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question_answer87)
A mass of 100g strikes the wall with speed 5m/s at an angle as shown in figure and it rebounds with the same speed. If the contact time is \[2\times {{10}^{-3}}\,\sec \], what is the force applied on the mass by the wall [Orissa JEE 2005]
A)
\[250\sqrt{3}\]N to right done
clear
B)
250 N to right done
clear
C)
\[250\sqrt{3}\]N to left done
clear
D)
250 N to left done
clear
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