Force, Energy and their relation in Simple Harmonic Motion
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI14:OSCILLATIONS

364090 Assertion :
The graph of potential energy and kinetic energy of a particle in SHM with respect to position is a parabola.
Reason :
Potential energy and kinetic energy do not vary linearly with position.

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

364091 Figure shows the kinetic energy \({K}\) of a simple pendulum versus its angle \({\theta}\) from the vertical. The pendulum bob has mass \(0.2\,kg\). The length of the pendulum \({\left(g=10 {~m} / {s}^{2}\right)}\) is
supporting img

1 \(3.2\,m\)
2 \(6.5\,m\)
3 \(9.2\,m\)
4 \(1.5\,m\)
PHXI14:OSCILLATIONS

364092 A linear harmonic oscillator of force constant \(2 \times {10^6}\;N{\rm{/}}m\) and amplitude \(0.01\;m\) has a total mechanical energy of \(160\;J\) its

1 Maximum potential energy is \(100\;\,J.\)
2 Maximum kinetic energy is \(100\;\,J.\)
3 Minimum potential energy is zero.
4 Maximum kinetic energy is \(160\;\,J.\)
PHXI14:OSCILLATIONS

364093 An oscillator of mass \(M\) is at rest in the equillibrium position in a potential
\(V=\dfrac{1}{2} k(x-X)^{2}\). A particle of mass \(m\) comes from right with speed \(u\) and collides completely inelastically with \(M\) and sticks to it. This process repeats every time the oscillator crosses its equillibrium position. The amplitude of oscillations after 13 collisions is:\((M=10, m=5, u=1, k=1)\)

1 \(\dfrac{2}{3}\)
2 \(\dfrac{1}{\sqrt{3}}\)
3 \(\sqrt{\dfrac{3}{5}}\)
4 \(\dfrac{1}{2}\)
PHXI14:OSCILLATIONS

364090 Assertion :
The graph of potential energy and kinetic energy of a particle in SHM with respect to position is a parabola.
Reason :
Potential energy and kinetic energy do not vary linearly with position.

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

364091 Figure shows the kinetic energy \({K}\) of a simple pendulum versus its angle \({\theta}\) from the vertical. The pendulum bob has mass \(0.2\,kg\). The length of the pendulum \({\left(g=10 {~m} / {s}^{2}\right)}\) is
supporting img

1 \(3.2\,m\)
2 \(6.5\,m\)
3 \(9.2\,m\)
4 \(1.5\,m\)
PHXI14:OSCILLATIONS

364092 A linear harmonic oscillator of force constant \(2 \times {10^6}\;N{\rm{/}}m\) and amplitude \(0.01\;m\) has a total mechanical energy of \(160\;J\) its

1 Maximum potential energy is \(100\;\,J.\)
2 Maximum kinetic energy is \(100\;\,J.\)
3 Minimum potential energy is zero.
4 Maximum kinetic energy is \(160\;\,J.\)
PHXI14:OSCILLATIONS

364093 An oscillator of mass \(M\) is at rest in the equillibrium position in a potential
\(V=\dfrac{1}{2} k(x-X)^{2}\). A particle of mass \(m\) comes from right with speed \(u\) and collides completely inelastically with \(M\) and sticks to it. This process repeats every time the oscillator crosses its equillibrium position. The amplitude of oscillations after 13 collisions is:\((M=10, m=5, u=1, k=1)\)

1 \(\dfrac{2}{3}\)
2 \(\dfrac{1}{\sqrt{3}}\)
3 \(\sqrt{\dfrac{3}{5}}\)
4 \(\dfrac{1}{2}\)
PHXI14:OSCILLATIONS

364090 Assertion :
The graph of potential energy and kinetic energy of a particle in SHM with respect to position is a parabola.
Reason :
Potential energy and kinetic energy do not vary linearly with position.

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

364091 Figure shows the kinetic energy \({K}\) of a simple pendulum versus its angle \({\theta}\) from the vertical. The pendulum bob has mass \(0.2\,kg\). The length of the pendulum \({\left(g=10 {~m} / {s}^{2}\right)}\) is
supporting img

1 \(3.2\,m\)
2 \(6.5\,m\)
3 \(9.2\,m\)
4 \(1.5\,m\)
PHXI14:OSCILLATIONS

364092 A linear harmonic oscillator of force constant \(2 \times {10^6}\;N{\rm{/}}m\) and amplitude \(0.01\;m\) has a total mechanical energy of \(160\;J\) its

1 Maximum potential energy is \(100\;\,J.\)
2 Maximum kinetic energy is \(100\;\,J.\)
3 Minimum potential energy is zero.
4 Maximum kinetic energy is \(160\;\,J.\)
PHXI14:OSCILLATIONS

364093 An oscillator of mass \(M\) is at rest in the equillibrium position in a potential
\(V=\dfrac{1}{2} k(x-X)^{2}\). A particle of mass \(m\) comes from right with speed \(u\) and collides completely inelastically with \(M\) and sticks to it. This process repeats every time the oscillator crosses its equillibrium position. The amplitude of oscillations after 13 collisions is:\((M=10, m=5, u=1, k=1)\)

1 \(\dfrac{2}{3}\)
2 \(\dfrac{1}{\sqrt{3}}\)
3 \(\sqrt{\dfrac{3}{5}}\)
4 \(\dfrac{1}{2}\)
PHXI14:OSCILLATIONS

364090 Assertion :
The graph of potential energy and kinetic energy of a particle in SHM with respect to position is a parabola.
Reason :
Potential energy and kinetic energy do not vary linearly with position.

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

364091 Figure shows the kinetic energy \({K}\) of a simple pendulum versus its angle \({\theta}\) from the vertical. The pendulum bob has mass \(0.2\,kg\). The length of the pendulum \({\left(g=10 {~m} / {s}^{2}\right)}\) is
supporting img

1 \(3.2\,m\)
2 \(6.5\,m\)
3 \(9.2\,m\)
4 \(1.5\,m\)
PHXI14:OSCILLATIONS

364092 A linear harmonic oscillator of force constant \(2 \times {10^6}\;N{\rm{/}}m\) and amplitude \(0.01\;m\) has a total mechanical energy of \(160\;J\) its

1 Maximum potential energy is \(100\;\,J.\)
2 Maximum kinetic energy is \(100\;\,J.\)
3 Minimum potential energy is zero.
4 Maximum kinetic energy is \(160\;\,J.\)
PHXI14:OSCILLATIONS

364093 An oscillator of mass \(M\) is at rest in the equillibrium position in a potential
\(V=\dfrac{1}{2} k(x-X)^{2}\). A particle of mass \(m\) comes from right with speed \(u\) and collides completely inelastically with \(M\) and sticks to it. This process repeats every time the oscillator crosses its equillibrium position. The amplitude of oscillations after 13 collisions is:\((M=10, m=5, u=1, k=1)\)

1 \(\dfrac{2}{3}\)
2 \(\dfrac{1}{\sqrt{3}}\)
3 \(\sqrt{\dfrac{3}{5}}\)
4 \(\dfrac{1}{2}\)