Some Systems Executing Simple Harmonic Motion
PHXI14:OSCILLATIONS

364437 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:

1 \((3 / 2) T\)
2 \(3\;T\)
3 \(2\;T\)
4 \(4\;T\)
PHXI14:OSCILLATIONS

364438 A pendulum suspended from the ceiling of an elevator at rest has a time period \(T_{1}\), when the elevator moves up with an acceleration \(a\) its time period becomes \(T_{2}\), when the elevator moves down with an acceleration \(a\), its time period becomes \(T_{3}\), then:-

1 \(T_{1}=\sqrt{\left(T_{1}^{2}+T_{3}^{2}\right)}\)
2 \(T_{1}=\sqrt{\left(T_{1} T_{2}\right)}\)
3 \(T_{1}=\dfrac{T_{2} T_{3} \sqrt{2}}{\sqrt{\left(T_{2}^{2}+T_{3}^{2}\right)}}\)
4 None of these
PHXI14:OSCILLATIONS

364439 A simple pendulum of length \(L\) is suspended from the top of a flat beam of thickness \(L / 2\). The bob is pulled away from the beam so that it makes an angle \(\theta=30^{\circ}\) with the vertical, as shown in the figure. It is then released from rest If \(\phi\) is the maximum angular deflection to the right, then
supporting img

1 \(\theta < \phi < 2 \theta\)
2 \(\theta < \phi\)
3 \(\phi < \theta\)
4 \(\phi \geq 2 \theta\)
PHXI14:OSCILLATIONS

364440 What effect occurs on the frequency of a pendulum, if it is taken, from the earth's surface to deep into a mine?

1 First increases, then decreases
2 Decreases
3 Increases
4 No effect
PHXI14:OSCILLATIONS

364437 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:

1 \((3 / 2) T\)
2 \(3\;T\)
3 \(2\;T\)
4 \(4\;T\)
PHXI14:OSCILLATIONS

364438 A pendulum suspended from the ceiling of an elevator at rest has a time period \(T_{1}\), when the elevator moves up with an acceleration \(a\) its time period becomes \(T_{2}\), when the elevator moves down with an acceleration \(a\), its time period becomes \(T_{3}\), then:-

1 \(T_{1}=\sqrt{\left(T_{1}^{2}+T_{3}^{2}\right)}\)
2 \(T_{1}=\sqrt{\left(T_{1} T_{2}\right)}\)
3 \(T_{1}=\dfrac{T_{2} T_{3} \sqrt{2}}{\sqrt{\left(T_{2}^{2}+T_{3}^{2}\right)}}\)
4 None of these
PHXI14:OSCILLATIONS

364439 A simple pendulum of length \(L\) is suspended from the top of a flat beam of thickness \(L / 2\). The bob is pulled away from the beam so that it makes an angle \(\theta=30^{\circ}\) with the vertical, as shown in the figure. It is then released from rest If \(\phi\) is the maximum angular deflection to the right, then
supporting img

1 \(\theta < \phi < 2 \theta\)
2 \(\theta < \phi\)
3 \(\phi < \theta\)
4 \(\phi \geq 2 \theta\)
PHXI14:OSCILLATIONS

364440 What effect occurs on the frequency of a pendulum, if it is taken, from the earth's surface to deep into a mine?

1 First increases, then decreases
2 Decreases
3 Increases
4 No effect
PHXI14:OSCILLATIONS

364437 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:

1 \((3 / 2) T\)
2 \(3\;T\)
3 \(2\;T\)
4 \(4\;T\)
PHXI14:OSCILLATIONS

364438 A pendulum suspended from the ceiling of an elevator at rest has a time period \(T_{1}\), when the elevator moves up with an acceleration \(a\) its time period becomes \(T_{2}\), when the elevator moves down with an acceleration \(a\), its time period becomes \(T_{3}\), then:-

1 \(T_{1}=\sqrt{\left(T_{1}^{2}+T_{3}^{2}\right)}\)
2 \(T_{1}=\sqrt{\left(T_{1} T_{2}\right)}\)
3 \(T_{1}=\dfrac{T_{2} T_{3} \sqrt{2}}{\sqrt{\left(T_{2}^{2}+T_{3}^{2}\right)}}\)
4 None of these
PHXI14:OSCILLATIONS

364439 A simple pendulum of length \(L\) is suspended from the top of a flat beam of thickness \(L / 2\). The bob is pulled away from the beam so that it makes an angle \(\theta=30^{\circ}\) with the vertical, as shown in the figure. It is then released from rest If \(\phi\) is the maximum angular deflection to the right, then
supporting img

1 \(\theta < \phi < 2 \theta\)
2 \(\theta < \phi\)
3 \(\phi < \theta\)
4 \(\phi \geq 2 \theta\)
PHXI14:OSCILLATIONS

364440 What effect occurs on the frequency of a pendulum, if it is taken, from the earth's surface to deep into a mine?

1 First increases, then decreases
2 Decreases
3 Increases
4 No effect
PHXI14:OSCILLATIONS

364437 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:

1 \((3 / 2) T\)
2 \(3\;T\)
3 \(2\;T\)
4 \(4\;T\)
PHXI14:OSCILLATIONS

364438 A pendulum suspended from the ceiling of an elevator at rest has a time period \(T_{1}\), when the elevator moves up with an acceleration \(a\) its time period becomes \(T_{2}\), when the elevator moves down with an acceleration \(a\), its time period becomes \(T_{3}\), then:-

1 \(T_{1}=\sqrt{\left(T_{1}^{2}+T_{3}^{2}\right)}\)
2 \(T_{1}=\sqrt{\left(T_{1} T_{2}\right)}\)
3 \(T_{1}=\dfrac{T_{2} T_{3} \sqrt{2}}{\sqrt{\left(T_{2}^{2}+T_{3}^{2}\right)}}\)
4 None of these
PHXI14:OSCILLATIONS

364439 A simple pendulum of length \(L\) is suspended from the top of a flat beam of thickness \(L / 2\). The bob is pulled away from the beam so that it makes an angle \(\theta=30^{\circ}\) with the vertical, as shown in the figure. It is then released from rest If \(\phi\) is the maximum angular deflection to the right, then
supporting img

1 \(\theta < \phi < 2 \theta\)
2 \(\theta < \phi\)
3 \(\phi < \theta\)
4 \(\phi \geq 2 \theta\)
PHXI14:OSCILLATIONS

364440 What effect occurs on the frequency of a pendulum, if it is taken, from the earth's surface to deep into a mine?

1 First increases, then decreases
2 Decreases
3 Increases
4 No effect