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One end of a long metallic wire of lengt...

One end of a long metallic wire of length (L) is tied to the ceiling. The other end is tied to a massless spring of spring constant . (K.A) mass (m) hangs freely from the free end of the spring. The area of cross- section and the Young's modulus of the wire are (A) and (Y) respectively. If the mass is slightly pulled down and released, it will oscillate with a time period (T) equal to :

A

`2pisqrt((m)/(k))`

B

`2pisqrt((mYA)/(kL))`

C

`2pisqrt((mk)/(YA))`

D

`2pisqrt((m(kL+YA))/(kYA))`

Text Solution

Verified by Experts

The correct Answer is:
D
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ALLEN -ELASTICITY, SURFACE TENSION AND FLUID MECHANICS-Exercise 2 (One or more than one correct answer)
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