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Assertion: In a simpleharmonic motion the kinetic and potential energy becomes equal when the displacement is `(1)/(sqrt(2))` time the amplitude Reason: is `SHM` kinetic energy is zero when potential energy is maximumA. If both assertion and reason are true and the reasopn is correct explanation of the assertionB. If both assertion and reason are true and but not the correct explanation of assertionC. If assertion is true but the reason is falseD. If both assertion and reason are false |
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Answer» Correct Answer - B From the relation potential energy of `SHM` is given `as PE = (1)/(2) m omega^(2)y^(2)` `andKE = (1)/(2)m omega^(2)(A^(2) - y^(2))` Where `y` is the displacement and `A` is the amplitude by the condition `KE = PE` `(1)/(2)m omega^(2)(A^(2) - y^(2)) = (1)/(2) m omega^(2)y^(2)` `rArr m omega^(2)y^(2)A^(2)` `rArr y = (1)/(sqrt(2))momega^(2)A^(2)` Also we know that total energy is `K = KE + PE` Hence in `PE` is maximum then `KE` will be zero |
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