1.

If momentum `(p)`, area `(A)` and time`(t) `are taken to be fundamental quantities then energy has the dimensional formulaA. `[pA^(-1) T^(1)]`B. `[p^(2) AT]`C. `pA^(-1//2)T]`D. `[pA^(1//2) T]`

Answer» Correct Answer - D
`E prop p^(a) A^(b) T^(c)`
`E = kp^(a) A^(A) T^(C)`
`ML^(2) T^(-2) - [MLT^(-1)]^(a) [L^(2)]^(b) [T]^(c)`
`= M^(a) L^(2b+a) T^(a+c)`
On solving `E = pA^(1//2) T^(-1)`.


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