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If the velocity (V) , acceleration (A) ,...

If the velocity `(V)` , acceleration `(A)` , and force `(F)` are taken as fundamental quantities instead of mass `(M)` , length `(L) , and time (T)` , the dimensions of young's modulus `(Y)` would be

A

`FA^(2) V^(-4)`

B

`FA^(2) V^(-5)`

C

`FA^(2) V^(-3)`

D

`FA^(2) V^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`Y prop V^(a) A^(b)F^(C), (ML^(-1) T^(-2)) = (LT^(-1))^(a) (LT^(-2))^(b) (MLT^(-2))^(c)`
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