1. The period of a simple pendulum is doubled, when
a) Its length is doubled
b) The mass of the bob is doubled
c) Its length is made four times
d) The mass of the bob and the length of the
pendulum are doubled
Explanation:
2. The period of oscillation of a simple pendulum of
constant length at earth surface is T. Its period
inside a mine is
a) Greater than T
b) Less than T
c) Equal to T
d) Cannot be compared
Explanation:
3.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
a) Increase
b) Decrease
c) Remain unaffected
d) Become infinite
Explanation:
4. 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)
a) \[\frac{1}{\sqrt{2}}sec \]
b) \[2\sqrt{2} sec \]
c) 2 sec
d) \[\frac{1}{2}sec \]
Explanation:
5. 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
a) \[\tan^{-1}\frac{a}{g}\] in the forward direction
b) \[\tan^{-1}\frac{a}{g}\] in the backward direction
c) \[\tan^{-1}\frac{g}{a}\] in the backward direction
d) \[\tan^{-1}\frac{g}{a}\] in the forward direction
Explanation:
6. Which of the following statements is not true ? In
the case of a simple pendulum for small
amplitudes the period of oscillation is
a) Directly proportional to square root of the
length of the pendulum
b) Inversely proportional to the square root of
the acceleration due to gravity
c) Dependent on the mass, size and material of
the bob
d) Independent of the amplitude
Explanation: Dependent on the mass, size and material of the bob
7. 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
a) 4 sec
b) 1 sec
c) 2 sec
d) 8 sec
Explanation:
8. 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
a) g
b) g-a
c) g+a
d) \[\sqrt{g^{2}+a^{2}}\]
Explanation:
9.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
a) Zero
b) \[2\sqrt{3}sec \]
c) 4 sec
d) Infinite
Explanation:
10. The bob of a simple pendulum of mass m and total
energy E will have maximum linear momentum
equal to
a) \[\sqrt{\frac{2E}{m}} \]
b) \[\sqrt{2mE} \]
c) 2mE
d) \[mE^{2}\]
Explanation:
