1.

Assertion : Average kinetic energy in one oscillation during SHM of a body is `(1)/(4)momega^(2)A^(2)`. Reason : Maximum kinetic energy is `(1)/(2)momega^(2)A^(2)`.A. If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.B. If both Assertion and Reason are correct but Reason is not the correct explanation of Assertion.C. If Assertion is true but Reason is false.D. If Assertion is false but Reason is true.

Answer» Correct Answer - B
(b) If `v=omegaA " sin"omegat`
Then, `v_("max")=omegaA`
`therefore K_("max")=(1)/(2)mv_("max")^(2)=(1)/(2)momega^(2)A^(2)`
Further , `gtAlt = lt (1)/(2)momega^(2)A^(2)"sin"^(2)omegat gt `
`(1)/(2)momega^(2)A^(2) lt "sin"^(2)omegatlt `
But `lt "sin"^(2) gt =(1)/(2)` in one oscillation
`therefore lt K gt =(1)/(4)momega^(2)A^(2)`


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