question_answer 1)
The period of a simple pendulum is doubled, when [CPMT 1974; MNR 1980; AFMC 1995; Pb. PET/PMT 2002]
A)
Its length is doubled done
clear
B)
The mass of the bob is doubled done
clear
C)
Its length is made four times done
clear
D)
The mass of the bob and the length of the pendulum are doubled done
clear
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question_answer 2)
The period of oscillation of a simple pendulum of constant length at earth surface is T. Its period inside a mine is [CPMT 1973; DPMT 2001]
A)
Greater than T done
clear
B)
Less than T done
clear
C)
Equal to T done
clear
D)
Cannot be compared done
clear
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question_answer 3)
A simple pendulum is made of a body which a hollow sphere is containing mercury suspended by means of a wire. If a little mercury is drained off, the period of pendulum will [NCERT 1972; BHU 1979]
A)
Remains unchanged done
clear
B)
Increase done
clear
C)
Decrease done
clear
D)
Become erratic done
clear
View Solution play_arrow
question_answer 4)
A pendulum suspended from the ceiling of a train has a period T, when the train is at rest. When the train is accelerating with a uniform acceleration a, the period of oscillation will [NCERT 1980; CPMT 1997]
A)
Increase done
clear
B)
Decrease done
clear
C)
Remain unaffected done
clear
D)
Become infinite done
clear
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question_answer 5)
The mass and diameter of a planet are twice those of earth. The period of oscillation of pendulum on this planet will be (If it is a second's pendulum on earth) [IIT 1973; DCE 2002]
A)
\[\frac{1}{\sqrt{2}}\] sec done
clear
B)
\[2\sqrt{2}\]sec done
clear
C)
2 sec done
clear
D)
\[\frac{1}{2}\]sec done
clear
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question_answer 6)
A simple pendulum is set up in a trolley which moves to the right with an acceleration a on a horizontal plane. Then the thread of the pendulum in the mean position makes an angle \[\theta \] with the vertical [CPMT 1983]
A)
\[{{\tan }^{-1}}\frac{a}{g}\] in the forward direction done
clear
B)
\[{{\tan }^{-1}}\frac{a}{g}\] in the backward direction done
clear
C)
\[{{\tan }^{-1}}\frac{g}{a}\] in the backward direction done
clear
D)
\[{{\tan }^{-1}}\frac{g}{a}\] in the forward direction done
clear
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question_answer 7)
Which of the following statements is not true? In the case of a simple pendulum for small amplitudes the period of oscillation is [NCERT 1982]
A)
Directly proportional to square root of the length of the pendulum done
clear
B)
Inversely proportional to the square root of the acceleration due to gravity done
clear
C)
Dependent on the mass, size and material of the bob done
clear
D)
Independent of the amplitude done
clear
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question_answer 8)
The time period of a second's pendulum is 2 sec. The spherical bob which is empty from inside has a mass of 50 gm. This is now replaced by another solid bob of same radius but having different mass of 100 gm. The new time period will be [NCERT 1972]
A)
4 sec done
clear
B)
1 sec done
clear
C)
2 sec done
clear
D)
8 sec done
clear
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question_answer 9)
A man measures the period of a simple pendulum inside a stationary lift and finds it to be T sec. If the lift accelerates upwards with an acceleration \[g/4\], then the period of the pendulum will be [NCERT 1990; BHU 2001]
A)
T done
clear
B)
\[\frac{T}{4}\] done
clear
C)
\[\frac{2T}{\sqrt{5}}\] done
clear
D)
\[2T\sqrt{5}\] done
clear
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question_answer 10)
A simple pendulum is suspended from the roof of a trolley which moves in a horizontal direction with an acceleration a, then the time period is given by \[T=2\pi \sqrt{\frac{l}{{{g}'}}}\], where \[{g}'\] is equal to [BHU 1997]
A)
g done
clear
B)
\[g-a\] done
clear
C)
\[g+a\] done
clear
D)
\[\sqrt{{{g}^{2}}+{{a}^{2}}}\] done
clear
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question_answer 11)
A second's pendulum is placed in a space laboratory orbiting around the earth at a height 3R, where R is the radius of the earth. The time period of the pendulum is [CPMT 1989; RPMT 1995]
A)
Zero done
clear
B)
\[2\sqrt{3}\,sec\] done
clear
C)
4 sec done
clear
D)
Infinite done
clear
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question_answer 12)
The bob of a simple pendulum of mass m and total energy E will have maximum linear momentum equal to [MP PMT 1986]
A)
\[\sqrt{\frac{2E}{m}}\] done
clear
B)
\[\sqrt{2mE}\] done
clear
C)
\[2mE\] done
clear
D)
\[m{{E}^{2}}\] done
clear
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question_answer 13)
The length of the second pendulum on the surface of earth is 1 m. The length of seconds pendulum on the surface of moon, where g is 1/6th value of g on the surface of earth, is [CPMT 1971]
A)
1 / 6 m done
clear
B)
6 m done
clear
C)
1 / 36 m done
clear
D)
36 m done
clear
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question_answer 14)
If the length of second's pendulum is decreased by 2%, how many seconds it will lose per day [CPMT 1992]
A)
3927 sec done
clear
B)
3727 sec done
clear
C)
3427 sec done
clear
D)
864 sec done
clear
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question_answer 15)
The period of simple pendulum is measured as T in a stationary lift. If the lift moves upwards with an acceleration of 5 g, the period will be [MNR 1979]
A)
The same done
clear
B)
Increased by 3/5 done
clear
C)
Decreased by 2/3 times done
clear
D)
None of the above done
clear
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question_answer 16)
The length of a simple pendulum is increased by 1%. Its time period will [MP PET 1994; RPET 2001]
A)
Increase by 1% done
clear
B)
Increase by 0.5% done
clear
C)
Decrease by 0.5% done
clear
D)
Increase by 2% done
clear
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question_answer 17)
A simple pendulum with a bob of mass ?m? oscillates from A to C and back to A such that PB is H. If the acceleration due to gravity is ?g?, then the velocity of the bob as it passes through B is [CBSE PMT 1995; DPMT 1995; Pb. PMT 1996]
A)
\[mgH\] done
clear
B)
\[\sqrt{2gH}\] done
clear
C)
\[T\frac{p-1}{p}\] done
clear
D)
Zero done
clear
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question_answer 18)
Identify correct statement among the following [Manipal MEE 1995]
A)
The greater the mass of a pendulum bob, the shorter is its frequency of oscillation done
clear
B)
A simple pendulum with a bob of mass M swings with an angular amplitude of \[{{40}^{o}}\]. When its angular amplitude is \[{{20}^{o}}\], the tension in the string is less than \[Mg\cos {{20}^{o}}\]. done
clear
C)
As the length of a simple pendulum is increased, the maximum velocity of its bob during its oscillation will also decreases done
clear
D)
The fractional change in the time period of a pendulum on changing the temperature is independent of the length of the pendulum done
clear
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question_answer 19)
The bob of a pendulum of length l is pulled aside from its equilibrium position through an angle \[\theta \] and then released. The bob will then pass through its equilibrium position with a speed v, where v equals [Haryana CEE 1996]
A)
\[U=K{{X}^{2}}\] done
clear
B)
\[\sqrt{2gl(1+\cos \theta )}\] done
clear
C)
\[U=KX\] done
clear
D)
\[\frac{a}{2}\] done
clear
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question_answer 20)
A simple pendulum executing S.H.M. is falling freely along with the support. Then
A)
Its periodic time decreases done
clear
B)
Its periodic time increases done
clear
C)
It does not oscillate at all done
clear
D)
None of these done
clear
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question_answer 21)
A pendulum bob has a speed of 3 m/s at its lowest position. The pendulum is 0.5 m long. The speed of the bob, when the length makes an angle of \[{{60}^{o}}\] to the vertical, will be (If \[g=10m/{{s}^{2}}\]) [MP PET 1996]
A)
\[\frac{E}{4}\] done
clear
B)
\[\frac{3E}{4}\] done
clear
C)
\[\frac{\sqrt{3}}{4}E\] done
clear
D)
\[{{K}_{1}}\] done
clear
View Solution play_arrow
question_answer 22)
The time period of a simple pendulum is 2 sec. If its length is increased 4 times, then its period becomes [CBSE PMT 1999; DPMT 1999]
A)
16 sec done
clear
B)
12 sec done
clear
C)
8 sec done
clear
D)
4 sec done
clear
View Solution play_arrow
question_answer 23)
If the metal bob of a simple pendulum is replaced by a wooden bob, then its time period will [AIIMS 1998, 99]
A)
Increase done
clear
B)
Decrease done
clear
C)
Remain the same done
clear
D)
First increase then decrease done
clear
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question_answer 24)
In a simple pendulum, the period of oscillation T is related to length of the pendulum l as [EAMCET (Med.) 1995]
A)
\[\frac{l}{T}=\]constant done
clear
B)
\[\]\[\frac{{{l}^{2}}}{T}=\]constant done
clear
C)
\[\frac{l}{{{T}^{2}}}=\]constant done
clear
D)
\[\frac{{{l}^{2}}}{{{T}^{2}}}=\]constant done
clear
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question_answer 25)
A pendulum has time period T. If it is taken on to another planet having acceleration due to gravity half and mass 9 times that of the earth then its time period on the other planet will be [CMEET Bihar 1995]
A)
\[\sqrt{T}\] done
clear
B)
T done
clear
C)
\[{{T}^{1/3}}\] done
clear
D)
\[\sqrt{2}\]T done
clear
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question_answer 26)
A simple pendulum is executing simple harmonic motion with a time period T. If the length of the pendulum is increased by 21%, the percentage increase in the time period of the pendulum of increased length is [BHU 1994, 96; Pb. PMT 1995; AFMC 2001; AIIMS 2001; AIEEE 2003]
A)
10% done
clear
B)
21% done
clear
C)
30% done
clear
D)
50% done
clear
View Solution play_arrow
question_answer 27)
If the length of simple pendulum is increased by 300%, then the time period will be increased by [RPMT 1999]
A)
100% done
clear
B)
200% done
clear
C)
300% done
clear
D)
400% done
clear
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question_answer 28)
The length of a seconds pendulum is [RPET 2000]
A)
99.8 cm done
clear
B)
99 cm done
clear
C)
100 cm done
clear
D)
None of these done
clear
View Solution play_arrow
question_answer 29)
The time period of a simple pendulum in a lift descending with constant acceleration g is [DCE 1998; MP PMT 2001]
A)
\[T=2\pi \sqrt{\frac{l}{g}}\] done
clear
B)
\[T=2\pi \sqrt{\frac{l}{2g}}\] done
clear
C)
Zero done
clear
D)
Infinite done
clear
View Solution play_arrow
question_answer 30)
A chimpanzee swinging on a swing in a sitting position, stands up suddenly, the time period will [KCET (Engg./Med.) 2000; AIEEE 2002; DPMT 2004]
A)
Become infinite done
clear
B)
Remain same done
clear
C)
Increase done
clear
D)
Decrease done
clear
View Solution play_arrow
question_answer 31)
The acceleration due to gravity at a place is\[{{\pi }^{2}}\,m/se{{c}^{2}}\]. Then the time period of a simple pendulum of length one metre is [JIPMER 2002]
A)
\[\frac{2}{\pi }sec\] done
clear
B)
\[2\pi \,sec\] done
clear
C)
\[2\,sec\] done
clear
D)
\[\pi \,sec\] done
clear
View Solution play_arrow
question_answer 32)
A plate oscillated with time period ?T?. Suddenly, another plate put on the first plate, then time period [AIEEE 2002]
A)
Will decrease done
clear
B)
Will increase done
clear
C)
Will be same done
clear
D)
None of these done
clear
View Solution play_arrow
question_answer 33)
A simple pendulum of length l has a brass bob attached at its lower end. Its period is T. If a steel bob of same size, having density x times that of brass, replaces the brass bob and its length is changed so that period becomes 2T, then new length is [MP PMT 2002]
A)
2 l done
clear
B)
4 l done
clear
C)
4 l x done
clear
D)
\[\frac{4l}{x}\] done
clear
View Solution play_arrow
question_answer 34)
In a seconds pendulum, mass of bob is 30 gm. If it is replaced by 90 gm mass. Then its time period will [Orissa PMT 2001]
A)
1 sec done
clear
B)
2 sec done
clear
C)
4 sec done
clear
D)
3 sec done
clear
View Solution play_arrow
question_answer 35)
The time period of a simple pendulum when it is made to oscillate on the surface of moon [J & K CET 2004]
A)
Increases done
clear
B)
Decreases done
clear
C)
Remains unchanged done
clear
D)
Becomes infinite done
clear
View Solution play_arrow
question_answer 36)
A simple pendulum is attached to the roof of a lift. If time period of oscillation, when the lift is stationary is T. Then frequency of oscillation, when the lift falls freely, will be [DCE 2002]
A)
Zero done
clear
B)
T done
clear
C)
1/T done
clear
D)
None of these done
clear
View Solution play_arrow
question_answer 37)
A simple pendulum, suspended from the ceiling of a stationary van, has time period T. If the van starts moving with a uniform velocity the period of the pendulum will be [RPMT 2003]
A)
Less than T done
clear
B)
Equal to 2T done
clear
C)
Greater than T done
clear
D)
Unchanged done
clear
View Solution play_arrow
question_answer 38)
If the length of the simple pendulum is increased by 44%, then what is the change in time period of pendulum [MH CET 2004; UPSEAT 2005]
A)
22% done
clear
B)
20% done
clear
C)
33% done
clear
D)
44% done
clear
View Solution play_arrow
question_answer 39)
To show that a simple pendulum executes simple harmonic motion, it is necessary to assume that [CPMT 2001]
A)
Length of the pendulum is small done
clear
B)
Mass of the pendulum is small done
clear
C)
Amplitude of oscillation is small done
clear
D)
Acceleration due to gravity is small done
clear
View Solution play_arrow
question_answer 40)
The height of a swing changes during its motion from 0.1 m to 2.5 m. The minimum velocity of a boy who swings in this swing is [CPMT 1997]
A)
5.4 m / s done
clear
B)
4.95 m / s done
clear
C)
3.14 m / s done
clear
D)
Zero done
clear
View Solution play_arrow
question_answer 41)
The amplitude of an oscillating simple pendulum is 10cm and its period is 4 sec. Its speed after 1 sec after it passes its equilibrium position, is
A)
Zero done
clear
B)
\[0.57m/s\] done
clear
C)
\[0.212m/s\] done
clear
D)
\[0.32m/s\] done
clear
View Solution play_arrow
question_answer 42)
A simple pendulum consisting of a ball of mass m tied to a thread of length l is made to swing on a circular arc of angle\[\theta \] in a vertical plane. At the end of this arc, another ball of mass m is placed at rest. The momentum transferred to this ball at rest by the swinging ball is [NCERT 1977]
A)
Zero done
clear
B)
\[m\theta \sqrt{\frac{g}{l}}\] done
clear
C)
\[\frac{m\theta }{l}\sqrt{\frac{l}{g}}\] done
clear
D)
\[\frac{m}{l}2\pi \sqrt{\frac{l}{g}}\] done
clear
View Solution play_arrow
question_answer 43)
A simple pendulum hangs from the ceiling of a car. If the car accelerates with a uniform acceleration, the frequency of the simple pendulum will [Pb. PMT 2000]
A)
Increase done
clear
B)
Decrease done
clear
C)
Become infinite done
clear
D)
Remain constant done
clear
View Solution play_arrow
question_answer 44)
The periodic time of a simple pendulum of length 1 m and amplitude 2 cm is 5 seconds. If the amplitude is made 4 cm, its periodic time in seconds will be [MP PMT 1985]
A)
2.5 done
clear
B)
5 done
clear
C)
10 done
clear
D)
\[5\sqrt{2}\] done
clear
View Solution play_arrow
question_answer 45)
The ratio of frequencies of two pendulums are 2 : 3, then their length are in ratio [DCE 2005]
A)
\[\sqrt{2/3}\] done
clear
B)
\[\sqrt{3/2}\] done
clear
C)
\[4/9\] done
clear
D)
\[9/4\] done
clear
View Solution play_arrow
question_answer 46)
Two pendulums begin to swing simultaneously. If the ratio of the frequency of oscillations of the two is 7 : 8, then the ratio of lengths of the two pendulums will be [J & K CET 2005]
A)
7 : 8 done
clear
B)
8 : 7 done
clear
C)
49 : 64 done
clear
D)
64 : 49 done
clear
View Solution play_arrow
question_answer 47)
A simple pendulum hanging from the ceiling of a stationary lift has a time period T1. When the lift moves downward with constant velocity, the time period is T2, then [Orissa JEE 2005]
A)
\[{{T}_{2}}\] is infinity done
clear
B)
\[{{T}_{2}}>{{T}_{1}}\] done
clear
C)
\[{{T}_{2}}<{{T}_{1}}\] done
clear
D)
\[{{T}_{2}}={{T}_{1}}\] done
clear
View Solution play_arrow
question_answer 48)
If the length of a pendulum is made 9 times and mass of the bob is made 4 times then the value of time period becomes [BHU 2005]
A)
3T done
clear
B)
3/2T done
clear
C)
4T done
clear
D)
2T done
clear
View Solution play_arrow
question_answer 49)
A simple pendulum is taken from the equator to the pole. Its period [Kerala (PET/PMT) 2005]
A)
Decreases done
clear
B)
Increases done
clear
C)
Remains the same done
clear
D)
Decreases and then increases done
clear
View Solution play_arrow
question_answer 50)
A pendulum of length 2m lift at P. When it reaches Q, it losses 10% of its total energy due to air resistance. The velocity at Q is [DCE 1998]
A)
6 m/sec done
clear
B)
1 m/sec done
clear
C)
2 m/sec done
clear
D)
8 m/sec done
clear
View Solution play_arrow
question_answer 51)
There is a simple pendulum hanging from the ceiling of a lift. When the lift is stand still, the time period of the pendulum is T. If the resultant acceleration becomes \[g/4,\] then the new time period of the pendulum is [DCE 2004]
A)
0.8 T done
clear
B)
0.25 T done
clear
C)
2 T done
clear
D)
4 T done
clear
View Solution play_arrow
question_answer 52)
The period of a simple pendulum measured inside a stationary lift is found to be T. If the lift starts accelerating upwards with acceleration of \[g/3,\]then the time period of the pendulum is [RPMT 2000; DPMT 2000, 03]
A)
\[\frac{T}{\sqrt{3}}\] done
clear
B)
\[\frac{T}{3}\] done
clear
C)
\[\frac{\sqrt{3}}{2}T\] done
clear
D)
\[\sqrt{3}\,T\] done
clear
View Solution play_arrow
question_answer 53)
Time period of a simple pendulum will be double, if we [MH CET 2003]
A)
Decrease the length 2 times done
clear
B)
Decrease the length 4 times done
clear
C)
Increase the length 2 times done
clear
D)
Increase the length 4 times done
clear
View Solution play_arrow
question_answer 54)
Length of a simple pendulum is l and its maximum angular displacement is q, then its maximum K.E. is [RPMT 1995; BHU 2003]
A)
\[mgl\sin \theta \] done
clear
B)
\[mgl(1+\sin \theta )\] done
clear
C)
\[mgl(1+\cos \theta )\] done
clear
D)
\[mgl(1-\cos \theta )\] done
clear
View Solution play_arrow
question_answer 55)
The velocity of simple pendulum is maximum at [RPMT 2004]
A)
Extremes done
clear
B)
Half displacement done
clear
C)
Mean position done
clear
D)
Every where done
clear
View Solution play_arrow
question_answer 56)
A simple pendulum is vibrating in an evacuated chamber, it will oscillate with [Pb. PMT 2004]
A)
Increasing amplitude done
clear
B)
Constant amplitude done
clear
C)
Decreasing amplitude done
clear
D)
First (c) then (a) done
clear
View Solution play_arrow
question_answer 57)
The time period of a simple pendulum of length L as measured in an elevator descending with acceleration \[\frac{g}{3}\] is [CPMT 2000]
A)
\[2\pi \sqrt{\frac{3L}{g}}\] done
clear
B)
\[\pi \sqrt{\left( \frac{3L}{g} \right)}\] done
clear
C)
\[2\pi \sqrt{\left( \frac{3L}{2g} \right)}\] done
clear
D)
\[2\pi \sqrt{\frac{2L}{3g}}\] done
clear
View Solution play_arrow
question_answer 58)
If a body is released into a tunnel dug across the diameter of earth, it executes simple harmonic motion with time period [CPMT 1999]
A)
\[T=2\pi \sqrt{\frac{{{R}_{e}}}{g}}\] done
clear
B)
\[T=2\pi \sqrt{\frac{2\,{{R}_{e}}}{g}}\] done
clear
C)
\[T=2\pi \sqrt{\frac{{{R}_{e}}}{2g}}\] done
clear
D)
\[T=2\] seconds done
clear
View Solution play_arrow
question_answer 59)
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 (g = 9.8 m/s2) [BHU 2000]
A)
2.2 m/s done
clear
B)
1.8 m/s done
clear
C)
1.4 m/s done
clear
D)
0.6 m/s done
clear
View Solution play_arrow
question_answer 60)
A simple pendulum has time period T. The bob is given negative charge and surface below it is given positive charge. The new time period will be [AFMC 2004]
A)
Less than T done
clear
B)
Greater than T done
clear
C)
Equal to T done
clear
D)
Infinite done
clear
View Solution play_arrow
question_answer 61)
What effect occurs on the frequency of a pendulum if it is taken from the earth surface to deep into a mine [AFMC 2005]
A)
Increases done
clear
B)
Decreases done
clear
C)
First increases then decrease done
clear
D)
None of these done
clear
View Solution play_arrow