Falling Behind in Studies? Join Our Performance Improvement Batch. Enroll For Free
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
A particle oscillates about the equilibrium position x 0 subject to a force that has an associated potential energy U(x). Which of the following statements (perhaps more than one ) about U(x) is true? (A) U(x) must be symmetric about x 0 . (B) U(x) must have a minimum at x 0 . (C) U(x) may have a maximum at x 0 . (D) U(x) must be positive in the vicinity of x 0 .
The correct option is (A), (B) and (D).Since the particle oscillates about the equilibrium position x0, therefore the potential energy U(x) must be symmetric about x0. Thus option (A) is correct.The force and potential energy is related by Fx(x) = -dU/dx. The force must always act to restore the particle to equilibrium, and the potential energy must have a minimum at the equilibrium position. Thus option (B) is correct.Since the particle oscillates about the equilibrium position x0, so the potential energy U(x) must be symmetric about x0 and the potential energy must have a minimum value at the equilibrium position. Therefore U(x) must be positive in the vicinity of x0. Thus option (D) is correct.
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -