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question_answer1)
A vessel containing water is given a constant acceleration a towards the right, along a straight horizontal path. Which of the following diagram represents the surface of the liquid [IIT 1981]
A)
A done
clear
B)
B done
clear
C)
C done
clear
D)
D done
clear
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question_answer2)
A closed compartment containing gas is moving with some acceleration in horizontal direction. Neglect effect of gravity. Then the pressure in the compartment is [IIT-JEE 1999]
A)
Same everywhere done
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B)
Lower in front side done
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C)
Lower in rear side done
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D)
Lower in upper side done
clear
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question_answer3)
A ship of mass \[3\times {{10}^{7}}\,kg\] initially at rest is pulled by a force of \[5\times {{10}^{4}}\,N\] through a distance of 3 m. Assume that the resistance due to water is negligible, the speed of the ship is [IIT 1980; MP PMT 2000]
A)
1.5 m/s done
clear
B)
60 m/s done
clear
C)
0.1 m/s done
clear
D)
5 m/s done
clear
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question_answer4)
The mass of a body measured by a physical balance in a lift at rest is found to be m. If the lift is going up with an acceleration a, its mass will be measured as [MP PET 1994]
A)
\[m\left( 1-\frac{a}{g} \right)\] done
clear
B)
\[m\left( 1+\frac{a}{g} \right)\] done
clear
C)
m done
clear
D)
Zero done
clear
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question_answer5)
Three weights W, 2W and 3W are connected to identical springs suspended from a rigid horizontal rod. The assembly of the rod and the weights fall freely. The positions of the weights from the rod are such that [Roorkee 1999]
A)
3W will be farthest done
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B)
W will be farthest done
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C)
All will be at the same distance done
clear
D)
2W will be farthest done
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question_answer6)
When forces \[{{F}_{1}},\,{{F}_{2}},\,{{F}_{3}}\] are acting on a particle of mass m such that \[{{F}_{2}}\] and \[{{F}_{3}}\] are mutually perpendicular, then the particle remains stationary. If the force \[{{F}_{1}}\] is now removed then the acceleration of the particle is [AIEEE 2002]
A)
\[{{F}_{1}}/m\] done
clear
B)
\[{{F}_{2}}{{F}_{3}}/m{{F}_{1}}\] done
clear
C)
\[({{F}_{2}}-{{F}_{3}})/m\] done
clear
D)
\[{{F}_{2}}/m\] done
clear
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question_answer7)
The spring balance A reads 2 kg with a block m suspended from it. A balance B reads 5 kg when a beaker filled with liquid is put on the pan of the balance. The two balances are now so arranged that the hanging mass is inside the liquid as shown in figure. In this situation [IIT 1985]
A)
The balance A will read more than 2 kg done
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B)
The balance B will read more than 5 kg done
clear
C)
The balance A will read less than 2 kg and B will read more than 5 kg done
clear
D)
The balances A and B will read 2 kg and 5 kg respectively done
clear
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question_answer8)
A rocket is propelled by a gas which is initially at a temperature of 4000 K. The temperature of the gas falls to 1000 K as it leaves the exhaust nozzle. The gas which will acquire the largest momentum while leaving the nozzle, is [SCRA 1994]
A)
Hydrogen done
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B)
Helium done
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C)
Nitrogen done
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D)
Argon done
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question_answer9)
Consider the following statement: When jumping from some height, you should bend your knees as you come to rest, instead of keeping your legs stiff. Which of the following relations can be useful in explaining the statement [AMU (Engg.) 2001]
A)
\[\Delta \overrightarrow{{{P}_{1}}}=-\Delta \overrightarrow{{{P}_{2}}}\] done
clear
B)
\[\Delta E=-\Delta (PE+KE)=0\] done
clear
C)
\[\overrightarrow{F}\Delta t=m\Delta \overrightarrow{v}\] done
clear
D)
\[\Delta \overrightarrow{x}\propto \Delta \overrightarrow{F}\] Where symbols have their usual meaning done
clear
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question_answer10)
A false balance has equal arms. An object weigh X when placed in one pan and Y when placed in other pan, then the weight W of the object is equal to [AFMC 1994]
A)
\[\sqrt{XY}\] done
clear
B)
\[\frac{X+Y}{2}\] done
clear
C)
\[\frac{{{X}^{2}}+{{Y}^{2}}}{2}\] done
clear
D)
\[\frac{2}{\sqrt{{{X}^{2}}+{{Y}^{2}}}}\] done
clear
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question_answer11)
The vector sum of two forces is perpendicular to their vector differences. In that case, the force [CBSE PMT 2003]
A)
Are equal to each other in magnitude done
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B)
Are not equal to each other in magnitude done
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C)
Cannot be predicted done
clear
D)
Are equal to each other done
clear
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question_answer12)
In the arrangement shown in figure the ends P and Q of an unstretchable string move downwards with uniform speed U. Pulleys A and B are fixed. Mass M moves upwards with a speed [IIT 1982]
A)
\[2U\cos \theta \] done
clear
B)
\[U\cos \theta \] done
clear
C)
\[\frac{2U}{\cos \theta }\] done
clear
D)
\[\frac{U}{\cos \theta }\] done
clear
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question_answer13)
The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle \[\theta \]should be [IIT-JEE 2001]
A)
\[{{0}^{o}}\] done
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B)
\[{{30}^{o}}\] done
clear
C)
\[{{45}^{o}}\] done
clear
D)
\[{{60}^{o}}\] done
clear
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question_answer14)
A string of negligible mass going over a clamped pulley of mass m supports a block of mass M as shown in the figure. The force on the pulley by the clamp is given by [IIT-JEE 2001]
A)
\[\sqrt{2}Mg\] done
clear
B)
\[\sqrt{2}mg\] done
clear
C)
\[\sqrt{{{(M+m)}^{2}}+{{m}^{2}}}g\] done
clear
D)
\[\sqrt{{{(M+m)}^{2}}+{{M}^{2}}}g\] done
clear
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question_answer15)
A pulley fixed to the ceilling carries a string with blocks of mass m and 3 m attached to its ends. The masses of string and pulley are negligible. When the system is released, its centre of mass moves with what acceleration [UPSEAT 2002]
A)
0 done
clear
B)
\[g/4\] done
clear
C)
\[g/2\] done
clear
D)
\[-g/2\] done
clear
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question_answer16)
A solid sphere of mass 2 kg is resting inside a cube as shown in the figure. The cube is moving with a velocity \[v=(5t\,\hat{i}+2t\,\hat{j})m/s\]. Here t is the time in second. All surface are smooth. The sphere is at rest with respect to the cube. What is the total force exerted by the sphere on the cube. (Take g = 10 m/s2)
A)
\[\sqrt{29}N\] done
clear
B)
29 N done
clear
C)
\[26\,N\] done
clear
D)
\[\sqrt{89}\,N\] done
clear
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question_answer17)
A stick of 1 m is moving with velocity of \[2.7\times {{10}^{8}}m{{s}^{-1}}\]. What is the apparent length of the stick \[(c=3\times {{10}^{8}}m{{s}^{-1}})\] [BHU 1995]
A)
10 m done
clear
B)
0.22 m done
clear
C)
0.44 m done
clear
D)
2.4 m done
clear
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question_answer18)
One day on a spacecraft corresponds to 2 days on the earth. The speed of the spacecraft relative to the earth is [CBSE PMT 1993]
A)
\[1.5\times {{10}^{8}}m{{s}^{-1}}\] done
clear
B)
\[2.1\times {{10}^{8}}m{{s}^{-1}}\] done
clear
C)
\[2.6\times {{10}^{8}}m{{s}^{-1}}\] done
clear
D)
\[5.2\times {{10}^{8}}m{{s}^{-1}}\] done
clear
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question_answer19)
A flat plate moves normally with a speed \[{{v}_{1}}\] towards a horizontal jet of water of uniform area of cross-section. The jet discharges water at the rate of volume V per second at a speed of \[{{v}_{2}}\]. The density of water is \[\rho \]. Assume that water splashes along the surface of the plate at right angles to the original motion. The magnitude of the force acting on the plate due to the jet of water is [IIT 1995]
A)
\[\rho V{{v}_{1}}\] done
clear
B)
\[\rho V({{v}_{1}}+{{v}_{2}})\] done
clear
C)
\[\frac{\rho V}{{{v}_{1}}+{{v}_{2}}}v_{1}^{2}\] done
clear
D)
\[\rho \left[ \frac{V}{{{v}_{2}}} \right]{{({{v}_{1}}+{{v}_{2}})}^{2}}\] done
clear
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