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
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a
E=E1−E2
b
E=E1+E2
c
E=E1+E2
d
E=E1−E2
answer is B.
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Detailed Solution
E1=12Kx2⇒x=2E1K,E2=12Ky2⇒y=2E2K and E=12K(x+y)2⇒x+y=2EK⇒ 2E1K+2E2K=2EK⇒E1+E2=E