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Questions  

A body is executing Simple Harmonic Motion. At a displacement x its potential energy is E1  and at a displacement y its potential energy is E2 . The potential energy E at displacement  (x+y) is  

a
E=E1−E2
b
E=E1+E2
c
E=E1+E2
d
E=E1-E2

detailed solution

Correct option is B

E1=12Kx2⇒x=2E1K ,  E2=12Ky2⇒y=2E2Kand  E=12K(x+y)2⇒x+y=2EK ⇒2E1K+2E2K=2EK ⇒E1+E2=E

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