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Q.

A particle is executing SHM. At a point x =A3, kinetic energy of the particle is K, where A is the amplitude. At a point x = 2A3, kinetic energy of the particle will be:

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a

2 K

b

K2

c

58 K

d

53K

answer is C.

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Detailed Solution

v = ω(A2-x2) ⇒ v ∝ (A2-x2)At x = A3(A2-x2) = (A2-4A29) = A89At x = 2A3     (A2-x2) = (A2-4A29) = A59   K' = 59×98K = 58K
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