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A particle is in SHM. When displacement is ‘a‘ potential energy is 8J. When displacement is ‘a‘ potential energy is 18J. What will be the potential energy when displacement is ‘a+b’?(a) 50J(b) 26J(c) 10J(d) 30JI had been asked this question in quiz.My query is from Oscillations topic in section Oscillations of Physics – Class 11

Answer»

Correct ANSWER is (a) 50J

To explain I would SAY: 1/2ka^2 = 8 & 1/2kb^2 = 18.

We have to find value of 1/2k(a + b) ^2.

∴ 1/2k(a + b)^2 = 8 + 18 + kab

= 26+(K*4*6/k)

= 26 + 24 = 50J.



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