A particle of mass m moves rectilinearly under the action of a force F = α − β x . Here x is distance from the point where it was at rest ( x = 0 ) . ( α , β are positive constants) :-

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Ans. (A,B,C) F = α − β x dx dF ​ = − β Force is zero at x = β α ​ while velocity is zero at x = 0 . So amplitude is β α ​ and mean position is at x = β α ​ . F = − β ( x − β α ​ ) a m a x ​ = ω 2 A = m β ​ × β α ​ = m α ​

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