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The position of a particle at time t , i...

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

A

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

B

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

C

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

D

`M^(0) L^(1) T^(-1)` and `T^(-2)`

Text Solution

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The correct Answer is:
B
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  • The position x of a particle at time t is given by : x=(v_(0))/(a)(1-e^(-at)) where v_(0) is a constant and a>0. The dimensional formula of v_(0) and a is :

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