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The density of a non-uniform rod of leng...

The density of a non-uniform rod of length 1 m is given by `rho (x) = a (1 + bx^2)` where a and b are constant and `0 le x le 1`.
The centre of mass of the rod will be

A

`(3(2 + b))/(4 (3 + b))`

B

`(4 (2 + b))/(3 (3 + b))`

C

`(3 (3 + b))/(4 (2 + b))`

D

`(4 (3 + b))/(3 (2 + b))`

Text Solution

Verified by Experts

The correct Answer is:
A
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