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The bar shown in the figure is made of a...

The bar shown in the figure is made of a single piece of material. It is fixed at one end and consists of two segments of equal length `(L)/(2)` but different cross-section area A and 2A. What is the change in length of the system under the action of an axial force F. [ consider the shape of joint to remain circular, Y is young's modulus]

A

`(3FL)/(4AY)`

B

`(3FL)/(8AY)`

C

`(3FL)/(2AY)`

D

`(2FL)/(3AY)`

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