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A particle of mass m is located in a potential field given by U (x) = `U_(o)` (1-cos ax) where `U_(o)` and a are constants and x is distance from origin. The period of small oscillations isA. `sqrt((U_(o))/(ma^(2)))`B. `sqrt((mU_(o))/(a^(2)))`C. `sqrt((a)/(mU_(o)))`D. `sqrt((m)/(U_(o)a^(2)))` |
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Answer» Correct Answer - D `U=U_(o)(1-cosax)` `F=(dU)/(dx)` `=-U_(o)("a sinax")` `(because"For small oscillation becausesin` ax `~~` ax) `=-aU_(o)(ax)` effective `K=a^(2)U_(o)` `T=2pisqrt((m)/(a^(2)U_(o)))` |
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