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 = 2E1KE2 = 12Ky2 ⇒ y = 2E2KAnd E = 12K(x+y)2 ⇒ x+y = 2EK⇒2E1K+2E2K = 2EK ⇒ E1 +E2= E
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