364124 A particle is moving on \(x\)-axis has potential energy \(U=2-20 x+5 x^{2}\) Joules along \(x\)-axis. The particle is released at \(x=-3\). The maximum value of ' \(x\) ' will be:
( \(x\) is in metres and \(U\) is in joules)

364125 Assertion :
If the amplitude of a simple harmonic oscillator is doubled, its total energy also becomes doubled.
Reason :
The total energy is directly proportional to the square amplitude of vibration of the harmonic oscillator.

364126 For a particle performing SHM when displacement is \(x\), the potential energy and restoring force acting on it is denoted by \(E\) and \(F\) respectively. The relation between \(x,E\) and \(F\) is

364127 If \( < E > \) and \( < U > \) denote the average kinetic and the average potential energies respectively of mass describing a simple harmonic motion, over one period, then the correct relation is

364128 For a particle executing S.H.M., the kinetic energy \(K\) is given by \(K=K_{0} \cos ^{2} \omega t\). The maximum value of potential energy is:

364124 A particle is moving on \(x\)-axis has potential energy \(U=2-20 x+5 x^{2}\) Joules along \(x\)-axis. The particle is released at \(x=-3\). The maximum value of ' \(x\) ' will be:
( \(x\) is in metres and \(U\) is in joules)

364125 Assertion :
If the amplitude of a simple harmonic oscillator is doubled, its total energy also becomes doubled.
Reason :
The total energy is directly proportional to the square amplitude of vibration of the harmonic oscillator.

364126 For a particle performing SHM when displacement is \(x\), the potential energy and restoring force acting on it is denoted by \(E\) and \(F\) respectively. The relation between \(x,E\) and \(F\) is

364127 If \( < E > \) and \( < U > \) denote the average kinetic and the average potential energies respectively of mass describing a simple harmonic motion, over one period, then the correct relation is

364128 For a particle executing S.H.M., the kinetic energy \(K\) is given by \(K=K_{0} \cos ^{2} \omega t\). The maximum value of potential energy is:

364124 A particle is moving on \(x\)-axis has potential energy \(U=2-20 x+5 x^{2}\) Joules along \(x\)-axis. The particle is released at \(x=-3\). The maximum value of ' \(x\) ' will be:
( \(x\) is in metres and \(U\) is in joules)

364125 Assertion :
If the amplitude of a simple harmonic oscillator is doubled, its total energy also becomes doubled.
Reason :
The total energy is directly proportional to the square amplitude of vibration of the harmonic oscillator.

364126 For a particle performing SHM when displacement is \(x\), the potential energy and restoring force acting on it is denoted by \(E\) and \(F\) respectively. The relation between \(x,E\) and \(F\) is

364127 If \( < E > \) and \( < U > \) denote the average kinetic and the average potential energies respectively of mass describing a simple harmonic motion, over one period, then the correct relation is

364128 For a particle executing S.H.M., the kinetic energy \(K\) is given by \(K=K_{0} \cos ^{2} \omega t\). The maximum value of potential energy is:

364124 A particle is moving on \(x\)-axis has potential energy \(U=2-20 x+5 x^{2}\) Joules along \(x\)-axis. The particle is released at \(x=-3\). The maximum value of ' \(x\) ' will be:
( \(x\) is in metres and \(U\) is in joules)

364125 Assertion :
If the amplitude of a simple harmonic oscillator is doubled, its total energy also becomes doubled.
Reason :
The total energy is directly proportional to the square amplitude of vibration of the harmonic oscillator.

364126 For a particle performing SHM when displacement is \(x\), the potential energy and restoring force acting on it is denoted by \(E\) and \(F\) respectively. The relation between \(x,E\) and \(F\) is

364127 If \( < E > \) and \( < U > \) denote the average kinetic and the average potential energies respectively of mass describing a simple harmonic motion, over one period, then the correct relation is

364128 For a particle executing S.H.M., the kinetic energy \(K\) is given by \(K=K_{0} \cos ^{2} \omega t\). The maximum value of potential energy is:

364124 A particle is moving on \(x\)-axis has potential energy \(U=2-20 x+5 x^{2}\) Joules along \(x\)-axis. The particle is released at \(x=-3\). The maximum value of ' \(x\) ' will be:
( \(x\) is in metres and \(U\) is in joules)

364125 Assertion :
If the amplitude of a simple harmonic oscillator is doubled, its total energy also becomes doubled.
Reason :
The total energy is directly proportional to the square amplitude of vibration of the harmonic oscillator.

364126 For a particle performing SHM when displacement is \(x\), the potential energy and restoring force acting on it is denoted by \(E\) and \(F\) respectively. The relation between \(x,E\) and \(F\) is

364127 If \( < E > \) and \( < U > \) denote the average kinetic and the average potential energies respectively of mass describing a simple harmonic motion, over one period, then the correct relation is

364128 For a particle executing S.H.M., the kinetic energy \(K\) is given by \(K=K_{0} \cos ^{2} \omega t\). The maximum value of potential energy is: