Some Systems Executing Simple Harmonic Motion
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI14:OSCILLATIONS

364454 A simple pendulum attached to ceiling of lift has time period \(T\) when lift is at rest. Find its time period of lift if it starts accelerating upwards with acceleration \(g/2\) ?

1 \(\sqrt{\dfrac{2}{3}} \mathrm{~T}\)
2 \(\dfrac{\sqrt{2}}{3} \mathrm{~T}\)
3 \(\dfrac{2}{\sqrt{3}} \mathrm{~T}\)
4 \(\dfrac{T}{3}\)
PHXI14:OSCILLATIONS

364455 A simple pendulum has a length \(l\). The inertia and gravitational masses of the bob are \(m_{i}\) and \(m_{g}\) respectively. Then the time period \(T\) is given by

1 \(T=2 \pi \sqrt{\dfrac{m_{i} l}{m_{g} g}}\)
2 \(T=2 \pi \sqrt{\dfrac{m_{g} l}{m_{i} g}}\)
3 \(T=2 \pi \sqrt{\dfrac{l}{m_{i} \times m_{g} \times g}}\)
4 \(T=2 \pi \sqrt{\dfrac{m_{i} \times m_{g} \times l}{g}}\)
PHXI14:OSCILLATIONS

364456 How does the time period of pendulum vary with length

1 \({L^2}\)
2 \(\sqrt{L}\)
3 \(2 L\)
4 \(\dfrac{1}{\sqrt{L}}\)
PHXI14:OSCILLATIONS

364457 A clock pendulum having coefficient of linear expansion, \(\alpha=9 \times 10^{7} /{ }^{\circ} C^{-1}\) has a period of 0.5 \(s\) at \({20^{\rm{o}}}C\). If the clock is used in a climate, where the temperature is \({30^{\rm{o}}}C\), how much time does the clock lose in each oscillation ? \(g = \) constant)

1 \(2.5 \times {10^{ - 7}}\;s\)
2 \(5 \times {10^{ - 7}}\;s\)
3 \(1.125 \times 10^{-6} s\)
4 \(2.25 \times {10^{ - 6}}\;s\)
PHXI14:OSCILLATIONS

364454 A simple pendulum attached to ceiling of lift has time period \(T\) when lift is at rest. Find its time period of lift if it starts accelerating upwards with acceleration \(g/2\) ?

1 \(\sqrt{\dfrac{2}{3}} \mathrm{~T}\)
2 \(\dfrac{\sqrt{2}}{3} \mathrm{~T}\)
3 \(\dfrac{2}{\sqrt{3}} \mathrm{~T}\)
4 \(\dfrac{T}{3}\)
PHXI14:OSCILLATIONS

364455 A simple pendulum has a length \(l\). The inertia and gravitational masses of the bob are \(m_{i}\) and \(m_{g}\) respectively. Then the time period \(T\) is given by

1 \(T=2 \pi \sqrt{\dfrac{m_{i} l}{m_{g} g}}\)
2 \(T=2 \pi \sqrt{\dfrac{m_{g} l}{m_{i} g}}\)
3 \(T=2 \pi \sqrt{\dfrac{l}{m_{i} \times m_{g} \times g}}\)
4 \(T=2 \pi \sqrt{\dfrac{m_{i} \times m_{g} \times l}{g}}\)
PHXI14:OSCILLATIONS

364456 How does the time period of pendulum vary with length

1 \({L^2}\)
2 \(\sqrt{L}\)
3 \(2 L\)
4 \(\dfrac{1}{\sqrt{L}}\)
PHXI14:OSCILLATIONS

364457 A clock pendulum having coefficient of linear expansion, \(\alpha=9 \times 10^{7} /{ }^{\circ} C^{-1}\) has a period of 0.5 \(s\) at \({20^{\rm{o}}}C\). If the clock is used in a climate, where the temperature is \({30^{\rm{o}}}C\), how much time does the clock lose in each oscillation ? \(g = \) constant)

1 \(2.5 \times {10^{ - 7}}\;s\)
2 \(5 \times {10^{ - 7}}\;s\)
3 \(1.125 \times 10^{-6} s\)
4 \(2.25 \times {10^{ - 6}}\;s\)
PHXI14:OSCILLATIONS

364454 A simple pendulum attached to ceiling of lift has time period \(T\) when lift is at rest. Find its time period of lift if it starts accelerating upwards with acceleration \(g/2\) ?

1 \(\sqrt{\dfrac{2}{3}} \mathrm{~T}\)
2 \(\dfrac{\sqrt{2}}{3} \mathrm{~T}\)
3 \(\dfrac{2}{\sqrt{3}} \mathrm{~T}\)
4 \(\dfrac{T}{3}\)
PHXI14:OSCILLATIONS

364455 A simple pendulum has a length \(l\). The inertia and gravitational masses of the bob are \(m_{i}\) and \(m_{g}\) respectively. Then the time period \(T\) is given by

1 \(T=2 \pi \sqrt{\dfrac{m_{i} l}{m_{g} g}}\)
2 \(T=2 \pi \sqrt{\dfrac{m_{g} l}{m_{i} g}}\)
3 \(T=2 \pi \sqrt{\dfrac{l}{m_{i} \times m_{g} \times g}}\)
4 \(T=2 \pi \sqrt{\dfrac{m_{i} \times m_{g} \times l}{g}}\)
PHXI14:OSCILLATIONS

364456 How does the time period of pendulum vary with length

1 \({L^2}\)
2 \(\sqrt{L}\)
3 \(2 L\)
4 \(\dfrac{1}{\sqrt{L}}\)
PHXI14:OSCILLATIONS

364457 A clock pendulum having coefficient of linear expansion, \(\alpha=9 \times 10^{7} /{ }^{\circ} C^{-1}\) has a period of 0.5 \(s\) at \({20^{\rm{o}}}C\). If the clock is used in a climate, where the temperature is \({30^{\rm{o}}}C\), how much time does the clock lose in each oscillation ? \(g = \) constant)

1 \(2.5 \times {10^{ - 7}}\;s\)
2 \(5 \times {10^{ - 7}}\;s\)
3 \(1.125 \times 10^{-6} s\)
4 \(2.25 \times {10^{ - 6}}\;s\)
PHXI14:OSCILLATIONS

364454 A simple pendulum attached to ceiling of lift has time period \(T\) when lift is at rest. Find its time period of lift if it starts accelerating upwards with acceleration \(g/2\) ?

1 \(\sqrt{\dfrac{2}{3}} \mathrm{~T}\)
2 \(\dfrac{\sqrt{2}}{3} \mathrm{~T}\)
3 \(\dfrac{2}{\sqrt{3}} \mathrm{~T}\)
4 \(\dfrac{T}{3}\)
PHXI14:OSCILLATIONS

364455 A simple pendulum has a length \(l\). The inertia and gravitational masses of the bob are \(m_{i}\) and \(m_{g}\) respectively. Then the time period \(T\) is given by

1 \(T=2 \pi \sqrt{\dfrac{m_{i} l}{m_{g} g}}\)
2 \(T=2 \pi \sqrt{\dfrac{m_{g} l}{m_{i} g}}\)
3 \(T=2 \pi \sqrt{\dfrac{l}{m_{i} \times m_{g} \times g}}\)
4 \(T=2 \pi \sqrt{\dfrac{m_{i} \times m_{g} \times l}{g}}\)
PHXI14:OSCILLATIONS

364456 How does the time period of pendulum vary with length

1 \({L^2}\)
2 \(\sqrt{L}\)
3 \(2 L\)
4 \(\dfrac{1}{\sqrt{L}}\)
PHXI14:OSCILLATIONS

364457 A clock pendulum having coefficient of linear expansion, \(\alpha=9 \times 10^{7} /{ }^{\circ} C^{-1}\) has a period of 0.5 \(s\) at \({20^{\rm{o}}}C\). If the clock is used in a climate, where the temperature is \({30^{\rm{o}}}C\), how much time does the clock lose in each oscillation ? \(g = \) constant)

1 \(2.5 \times {10^{ - 7}}\;s\)
2 \(5 \times {10^{ - 7}}\;s\)
3 \(1.125 \times 10^{-6} s\)
4 \(2.25 \times {10^{ - 6}}\;s\)