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S= A(1-e^(-Bxt)) where S is speed, t is ...

`S= A(1-e^(-Bxt))` where S is speed, t is time and x is displacement. Then unit of B is

A

`m^(-1)s^(-1)`

B

`m^(-2)s`

C

`s^(-2)`

D

`s^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
The power of exponent is always dimensionless.
`:. [Bxt]= [M^(0)L^(0)T^(0)], [B]=(1)/([xt])= (1)/([M^(0)LT])= [M^(0)L^(-1)T^(-1)]`
Hence unit of B is `m^(-1)s^(-1)`
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