Some Systems Executing Simple Harmonic Motion
PHXI14:OSCILLATIONS

364433 A simple second pendulum is mounted in a rocket. Its time period will decrease when the rocket is

1 moving up with uniform velocity
2 moving up with uniform acceleration
3 moving down with uniform acceleration
4 moving around the earth in geostationary orbit
PHXI14:OSCILLATIONS

364434 Assertion :
The value of acceleration due to gravity is low at the mountain top than at the plane.
Reason :
If a pendulum clock is taken to mountain top, it will gain time.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI14:OSCILLATIONS

364435 The time period of a simple pendulum in a stationary van is \(T\). The time period of a mass attached to a spring is also \(T\). The van accelerates at the rate \(5\;m{s^{ - 2}}.\) If the new time periods of the pendulum and spring be \(T_{p}\) and \(T_{s}\) respectively, then

1 \(T_{p}=T_{s}\)
2 \(T_{p}>T_{s}\)
3 \(T_{p} < T_{s}\)
4 Cannot be predicted
PHXI14:OSCILLATIONS

364436 A pendulum of length \(1 m\) is released from \(\theta=60^{\circ}\). The rate of change of speed of the bob at \(\theta=30^{\circ}\) is (Take, \(g = 10\;m{s^{ - 2}}\) )

1 \(10\;m{s^{ - 2}}\)
2 \(7.5\;m{s^{ - 1}}\)
3 \(5\;m{s^{ - 2}}\)
4 \(5\sqrt 3 \;m{s^{ - 2}}{\mkern 1mu} \)
PHXI14:OSCILLATIONS

364433 A simple second pendulum is mounted in a rocket. Its time period will decrease when the rocket is

1 moving up with uniform velocity
2 moving up with uniform acceleration
3 moving down with uniform acceleration
4 moving around the earth in geostationary orbit
PHXI14:OSCILLATIONS

364434 Assertion :
The value of acceleration due to gravity is low at the mountain top than at the plane.
Reason :
If a pendulum clock is taken to mountain top, it will gain time.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI14:OSCILLATIONS

364435 The time period of a simple pendulum in a stationary van is \(T\). The time period of a mass attached to a spring is also \(T\). The van accelerates at the rate \(5\;m{s^{ - 2}}.\) If the new time periods of the pendulum and spring be \(T_{p}\) and \(T_{s}\) respectively, then

1 \(T_{p}=T_{s}\)
2 \(T_{p}>T_{s}\)
3 \(T_{p} < T_{s}\)
4 Cannot be predicted
PHXI14:OSCILLATIONS

364436 A pendulum of length \(1 m\) is released from \(\theta=60^{\circ}\). The rate of change of speed of the bob at \(\theta=30^{\circ}\) is (Take, \(g = 10\;m{s^{ - 2}}\) )

1 \(10\;m{s^{ - 2}}\)
2 \(7.5\;m{s^{ - 1}}\)
3 \(5\;m{s^{ - 2}}\)
4 \(5\sqrt 3 \;m{s^{ - 2}}{\mkern 1mu} \)
PHXI14:OSCILLATIONS

364433 A simple second pendulum is mounted in a rocket. Its time period will decrease when the rocket is

1 moving up with uniform velocity
2 moving up with uniform acceleration
3 moving down with uniform acceleration
4 moving around the earth in geostationary orbit
PHXI14:OSCILLATIONS

364434 Assertion :
The value of acceleration due to gravity is low at the mountain top than at the plane.
Reason :
If a pendulum clock is taken to mountain top, it will gain time.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI14:OSCILLATIONS

364435 The time period of a simple pendulum in a stationary van is \(T\). The time period of a mass attached to a spring is also \(T\). The van accelerates at the rate \(5\;m{s^{ - 2}}.\) If the new time periods of the pendulum and spring be \(T_{p}\) and \(T_{s}\) respectively, then

1 \(T_{p}=T_{s}\)
2 \(T_{p}>T_{s}\)
3 \(T_{p} < T_{s}\)
4 Cannot be predicted
PHXI14:OSCILLATIONS

364436 A pendulum of length \(1 m\) is released from \(\theta=60^{\circ}\). The rate of change of speed of the bob at \(\theta=30^{\circ}\) is (Take, \(g = 10\;m{s^{ - 2}}\) )

1 \(10\;m{s^{ - 2}}\)
2 \(7.5\;m{s^{ - 1}}\)
3 \(5\;m{s^{ - 2}}\)
4 \(5\sqrt 3 \;m{s^{ - 2}}{\mkern 1mu} \)
PHXI14:OSCILLATIONS

364433 A simple second pendulum is mounted in a rocket. Its time period will decrease when the rocket is

1 moving up with uniform velocity
2 moving up with uniform acceleration
3 moving down with uniform acceleration
4 moving around the earth in geostationary orbit
PHXI14:OSCILLATIONS

364434 Assertion :
The value of acceleration due to gravity is low at the mountain top than at the plane.
Reason :
If a pendulum clock is taken to mountain top, it will gain time.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI14:OSCILLATIONS

364435 The time period of a simple pendulum in a stationary van is \(T\). The time period of a mass attached to a spring is also \(T\). The van accelerates at the rate \(5\;m{s^{ - 2}}.\) If the new time periods of the pendulum and spring be \(T_{p}\) and \(T_{s}\) respectively, then

1 \(T_{p}=T_{s}\)
2 \(T_{p}>T_{s}\)
3 \(T_{p} < T_{s}\)
4 Cannot be predicted
PHXI14:OSCILLATIONS

364436 A pendulum of length \(1 m\) is released from \(\theta=60^{\circ}\). The rate of change of speed of the bob at \(\theta=30^{\circ}\) is (Take, \(g = 10\;m{s^{ - 2}}\) )

1 \(10\;m{s^{ - 2}}\)
2 \(7.5\;m{s^{ - 1}}\)
3 \(5\;m{s^{ - 2}}\)
4 \(5\sqrt 3 \;m{s^{ - 2}}{\mkern 1mu} \)