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If x and a stand for distance , then for...

If `x and a` stand for distance , then for what value of `n` is the given equation dimensionally correct? The equation is
`int (dx)/( sqrt ( a^(2) - x^(n))) = sin^(-1) (x)/(a)`

A

`0`

B

`2`

C

`-2`

D

`1`

Text Solution

Verified by Experts

The correct Answer is:
B
Here `x^(n)` has the same dimensions as `a^(2)` . Thus , `n = 2` will make the expression dimensionally correct.
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