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Assertion : The gerph between velocity and displacement for a harmonic oscillation is a parabola Reason : Velocity does not change uniformly with displacement in simple harmonic motionA. 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 - C While executing `SHM` from relation `v = omega sqrt((A^(2) - y^(2))` `v^(2) = omega (A^(2) - y^(2))` `v^(2) = omega^(2) A^(2) -omega^(2) y^(2)` Dividing both side the `omega^(2) A^(2)` `(v^(2))/(omega^(2)A^(2)) + (y^(2))/(A^(2)) = 1`...(1) it is understood that Eq `(1)` repressent the equation of an elipe so the graph between `v` (velocity) and `y` (displacement) is not a perabole Angle from Eq (1) displacement `(y)` increase the velocity decrease becomes zero at maximum displace and again increase with in `SHM` the velocity Thus with displacement in `SHM` the velocity does not change uniformly |
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