A particle of mass m=1 kg executes SHM about mean position 'O' with angular frequency ω=1.0 rad/s and total energy 2 J. x is positive if measured towards right from 'O'. At t=0, particle is at 'O' and moving towards right. Then which of the options can be correct. Column−IColumn−II(P)Speed of particle is √2 m/s at(1)x=+1 m(Q)Kinetic energy of the particle is 1 J at(2)x=−1 m(R)At t=π6 s particle is at(3)x=+√2 m(S)Kinetic energy is 1.5 J at(4)x=−√2 m

A particle of mass m=1 kg executes SHM about mean position 'O' with an

1.	A particle of mass m=1 kg executes SHM about mean position 'O' with angular frequency ω=1.0 rad/s and total energy 2 J. x is positive if measured towards right from 'O'. At t=0, particle is at 'O' and moving towards right. Then which of the options can be correct. Column−IColumn−II(P)Speed of particle is √2 m/s at(1)x=+1 m(Q)Kinetic energy of the particle is 1 J at(2)x=−1 m(R)At t=π6 s particle is at(3)x=+√2 m(S)Kinetic energy is 1.5 J at(4)x=−√2 m
Answer» A particle of mass $m = 1 k g$ executes SHM about mean position 'O' with angular frequency $ω = 1.0 r a d / s$ and total energy $2 J$ . $x$ is positive if measured towards right from 'O'. At $t = 0$ , particle is at 'O' and moving towards right. Then which of the options can be correct. $\begin{matrix} C o l u m n - I & C o l u m n - I I (P) & S p e e d o f p a r t i c l e i s \sqrt{2} m / s a t & (1) & x = + 1 m (Q) & K i n e t i c e n e r g y o f t h e p a r t i c l e i s 1 J a t & (2) & x = - 1 m (R) & A t t = \frac{π}{6} s p a r t i c l e i s a t & (3) & x = + \sqrt{2} m (S) & K i n e t i c e n e r g y i s 1.5 J a t & (4) & x = - \sqrt{2} m \end{matrix}$

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