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Find dimensional formula :...

Find dimensional formula :

A

`(dx)/(dt)`

B

`(d^(2)x)/(dt^(2))`

C

`intvdt`

D

`intadt`

Text Solution

Verified by Experts

(i) `[(dx)/(dt)]=[(x)/(t)]=[(L)/(T)]=[M^(0)L^(1)T^(-1)]` (ii) `[m(d^(2)x)/(dt^(2)]=[m(x)/(T^(2))]=[M^(1)L^(1)T^(2)]`
(iii) `[intvdt]=[vt]=[ltLT^()xxT]=[M^(0)L^(1)T^(0)]` (iv) `[intadt]=[at]=[LT^(2)xxT]=[M^(0)L^(1)T^(1)]`
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