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The position of a particle at time t is ...

The position of a particle at time `t` is given by the relation `x(t) = ( v_(0) /( alpha)) ( 1 - c^(-at))`, where `v_(0)` is a constant and `alpha gt 0`. Find the dimensions of `v_(0) and alpha`.

A

`M^(0) L^(1) T^(0)` & ` T^(-1)`

B

`M^(0) L^(1) T^(-1)` & `T`

C

`M^(0) L^(1) T^(-1)` & `T^(-1)`

D

`M^(1) L^(1)T^(-1)` & `LT^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`[V_(0)] = [x] [alpha]" "& [alpha][t]=M^(0) L^(0) T^(0)`
`=M^(0)L^(1)T^(-1) " " [alpha]=M^(0)L^(0)T^(-1) `
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