Some Systems Executing Simple Harmonic Motion
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PHXI14:OSCILLATIONS

364458 A simple pendulum has a hollow sphere containing mercury suspended by means of a wire. If a little mercury is drained off, the period of the pendulum will

1 Increase
2 Decrease
3 Remains unchanged
4 Become erratic
PHXI14:OSCILLATIONS

364459 Assertion :
The percentage change in time period is \(1.5 \%\). If the length of simple pendulum increases by \(3 \%\).
Reason :
The period is directly proportional to length of pendulum.

1 Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of Assertion.
3 Assertion is correct but Reason is incorrect.
4 Both Assertion and Reason are incorrect.
AIIMS - 2011
PHXI14:OSCILLATIONS

364460 The period of a simple pendulum suspended from the ceiling of a car is \(T\) when the car is at rest. If the car moves with a constant acceleration the period of the pendulum

1 Remains same
2 Decreases
3 Increases
4 First increases then decreases
PHXI14:OSCILLATIONS

364461 Time period of a simple pendulum of length \(L\) as measured in an elevator descending with acceleration \(\dfrac{g}{3}\) is

1 \(2 \pi \sqrt{\dfrac{3 L}{2 g}}\)
2 \(r \sqrt{\dfrac{3 L}{g}}\)
3 \(2 \pi \sqrt{\dfrac{3 L}{g}}\)
4 \(2 \pi \sqrt{\dfrac{2 L}{3 g}}\)
PHXI14:OSCILLATIONS

364462 A pendulum made of a uniform wire of cross sectional area \(A\) has time period \(T\). When an additional mass \(M\) is added to its bob, the time period changes to \({T_M}\). If the Young's modulus of the material of the wire is \(Y\) then \(\dfrac{1}{Y}\) is equal to: \((g = \) gravitational acceleration\()\)

1 \(\left[\left(\dfrac{T_{M}}{T}\right)^{2}-1\right] \dfrac{M g}{A}\)
2 \(\left[1-\left(\dfrac{T_{M}}{T}\right)^{2}\right] \dfrac{A}{M g}\)
3 \(\left[1-\left(\dfrac{T}{T_{M}}\right)^{2}\right] \dfrac{A}{M g}\)
4 \(\left[\left(\dfrac{T_{M}}{T}\right)^{2}-1\right] \dfrac{A}{M g}\)
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PHXI14:OSCILLATIONS

364458 A simple pendulum has a hollow sphere containing mercury suspended by means of a wire. If a little mercury is drained off, the period of the pendulum will

1 Increase
2 Decrease
3 Remains unchanged
4 Become erratic
PHXI14:OSCILLATIONS

364459 Assertion :
The percentage change in time period is \(1.5 \%\). If the length of simple pendulum increases by \(3 \%\).
Reason :
The period is directly proportional to length of pendulum.

1 Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of Assertion.
3 Assertion is correct but Reason is incorrect.
4 Both Assertion and Reason are incorrect.
AIIMS - 2011
PHXI14:OSCILLATIONS

364460 The period of a simple pendulum suspended from the ceiling of a car is \(T\) when the car is at rest. If the car moves with a constant acceleration the period of the pendulum

1 Remains same
2 Decreases
3 Increases
4 First increases then decreases
PHXI14:OSCILLATIONS

364461 Time period of a simple pendulum of length \(L\) as measured in an elevator descending with acceleration \(\dfrac{g}{3}\) is

1 \(2 \pi \sqrt{\dfrac{3 L}{2 g}}\)
2 \(r \sqrt{\dfrac{3 L}{g}}\)
3 \(2 \pi \sqrt{\dfrac{3 L}{g}}\)
4 \(2 \pi \sqrt{\dfrac{2 L}{3 g}}\)
PHXI14:OSCILLATIONS

364462 A pendulum made of a uniform wire of cross sectional area \(A\) has time period \(T\). When an additional mass \(M\) is added to its bob, the time period changes to \({T_M}\). If the Young's modulus of the material of the wire is \(Y\) then \(\dfrac{1}{Y}\) is equal to: \((g = \) gravitational acceleration\()\)

1 \(\left[\left(\dfrac{T_{M}}{T}\right)^{2}-1\right] \dfrac{M g}{A}\)
2 \(\left[1-\left(\dfrac{T_{M}}{T}\right)^{2}\right] \dfrac{A}{M g}\)
3 \(\left[1-\left(\dfrac{T}{T_{M}}\right)^{2}\right] \dfrac{A}{M g}\)
4 \(\left[\left(\dfrac{T_{M}}{T}\right)^{2}-1\right] \dfrac{A}{M g}\)
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PHXI14:OSCILLATIONS

364458 A simple pendulum has a hollow sphere containing mercury suspended by means of a wire. If a little mercury is drained off, the period of the pendulum will

1 Increase
2 Decrease
3 Remains unchanged
4 Become erratic
PHXI14:OSCILLATIONS

364459 Assertion :
The percentage change in time period is \(1.5 \%\). If the length of simple pendulum increases by \(3 \%\).
Reason :
The period is directly proportional to length of pendulum.

1 Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of Assertion.
3 Assertion is correct but Reason is incorrect.
4 Both Assertion and Reason are incorrect.
AIIMS - 2011
PHXI14:OSCILLATIONS

364460 The period of a simple pendulum suspended from the ceiling of a car is \(T\) when the car is at rest. If the car moves with a constant acceleration the period of the pendulum

1 Remains same
2 Decreases
3 Increases
4 First increases then decreases
PHXI14:OSCILLATIONS

364461 Time period of a simple pendulum of length \(L\) as measured in an elevator descending with acceleration \(\dfrac{g}{3}\) is

1 \(2 \pi \sqrt{\dfrac{3 L}{2 g}}\)
2 \(r \sqrt{\dfrac{3 L}{g}}\)
3 \(2 \pi \sqrt{\dfrac{3 L}{g}}\)
4 \(2 \pi \sqrt{\dfrac{2 L}{3 g}}\)
PHXI14:OSCILLATIONS

364462 A pendulum made of a uniform wire of cross sectional area \(A\) has time period \(T\). When an additional mass \(M\) is added to its bob, the time period changes to \({T_M}\). If the Young's modulus of the material of the wire is \(Y\) then \(\dfrac{1}{Y}\) is equal to: \((g = \) gravitational acceleration\()\)

1 \(\left[\left(\dfrac{T_{M}}{T}\right)^{2}-1\right] \dfrac{M g}{A}\)
2 \(\left[1-\left(\dfrac{T_{M}}{T}\right)^{2}\right] \dfrac{A}{M g}\)
3 \(\left[1-\left(\dfrac{T}{T_{M}}\right)^{2}\right] \dfrac{A}{M g}\)
4 \(\left[\left(\dfrac{T_{M}}{T}\right)^{2}-1\right] \dfrac{A}{M g}\)
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PHXI14:OSCILLATIONS

364458 A simple pendulum has a hollow sphere containing mercury suspended by means of a wire. If a little mercury is drained off, the period of the pendulum will

1 Increase
2 Decrease
3 Remains unchanged
4 Become erratic
PHXI14:OSCILLATIONS

364459 Assertion :
The percentage change in time period is \(1.5 \%\). If the length of simple pendulum increases by \(3 \%\).
Reason :
The period is directly proportional to length of pendulum.

1 Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of Assertion.
3 Assertion is correct but Reason is incorrect.
4 Both Assertion and Reason are incorrect.
AIIMS - 2011
PHXI14:OSCILLATIONS

364460 The period of a simple pendulum suspended from the ceiling of a car is \(T\) when the car is at rest. If the car moves with a constant acceleration the period of the pendulum

1 Remains same
2 Decreases
3 Increases
4 First increases then decreases
PHXI14:OSCILLATIONS

364461 Time period of a simple pendulum of length \(L\) as measured in an elevator descending with acceleration \(\dfrac{g}{3}\) is

1 \(2 \pi \sqrt{\dfrac{3 L}{2 g}}\)
2 \(r \sqrt{\dfrac{3 L}{g}}\)
3 \(2 \pi \sqrt{\dfrac{3 L}{g}}\)
4 \(2 \pi \sqrt{\dfrac{2 L}{3 g}}\)
PHXI14:OSCILLATIONS

364462 A pendulum made of a uniform wire of cross sectional area \(A\) has time period \(T\). When an additional mass \(M\) is added to its bob, the time period changes to \({T_M}\). If the Young's modulus of the material of the wire is \(Y\) then \(\dfrac{1}{Y}\) is equal to: \((g = \) gravitational acceleration\()\)

1 \(\left[\left(\dfrac{T_{M}}{T}\right)^{2}-1\right] \dfrac{M g}{A}\)
2 \(\left[1-\left(\dfrac{T_{M}}{T}\right)^{2}\right] \dfrac{A}{M g}\)
3 \(\left[1-\left(\dfrac{T}{T_{M}}\right)^{2}\right] \dfrac{A}{M g}\)
4 \(\left[\left(\dfrac{T_{M}}{T}\right)^{2}-1\right] \dfrac{A}{M g}\)
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PHXI14:OSCILLATIONS

364458 A simple pendulum has a hollow sphere containing mercury suspended by means of a wire. If a little mercury is drained off, the period of the pendulum will

1 Increase
2 Decrease
3 Remains unchanged
4 Become erratic
PHXI14:OSCILLATIONS

364459 Assertion :
The percentage change in time period is \(1.5 \%\). If the length of simple pendulum increases by \(3 \%\).
Reason :
The period is directly proportional to length of pendulum.

1 Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of Assertion.
3 Assertion is correct but Reason is incorrect.
4 Both Assertion and Reason are incorrect.
AIIMS - 2011
PHXI14:OSCILLATIONS

364460 The period of a simple pendulum suspended from the ceiling of a car is \(T\) when the car is at rest. If the car moves with a constant acceleration the period of the pendulum

1 Remains same
2 Decreases
3 Increases
4 First increases then decreases
PHXI14:OSCILLATIONS

364461 Time period of a simple pendulum of length \(L\) as measured in an elevator descending with acceleration \(\dfrac{g}{3}\) is

1 \(2 \pi \sqrt{\dfrac{3 L}{2 g}}\)
2 \(r \sqrt{\dfrac{3 L}{g}}\)
3 \(2 \pi \sqrt{\dfrac{3 L}{g}}\)
4 \(2 \pi \sqrt{\dfrac{2 L}{3 g}}\)
PHXI14:OSCILLATIONS

364462 A pendulum made of a uniform wire of cross sectional area \(A\) has time period \(T\). When an additional mass \(M\) is added to its bob, the time period changes to \({T_M}\). If the Young's modulus of the material of the wire is \(Y\) then \(\dfrac{1}{Y}\) is equal to: \((g = \) gravitational acceleration\()\)

1 \(\left[\left(\dfrac{T_{M}}{T}\right)^{2}-1\right] \dfrac{M g}{A}\)
2 \(\left[1-\left(\dfrac{T_{M}}{T}\right)^{2}\right] \dfrac{A}{M g}\)
3 \(\left[1-\left(\dfrac{T}{T_{M}}\right)^{2}\right] \dfrac{A}{M g}\)
4 \(\left[\left(\dfrac{T_{M}}{T}\right)^{2}-1\right] \dfrac{A}{M g}\)