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The displacement of a particle moving al...

The displacement of a particle moving along x-axis with respect to time t is `x=at+bt^(2)-ct^(3)`. The dimensions of c is `LT^(-x)`. The value of x is

A

`T^(-3)`

B

`LT^(-2)`

C

`LT^(-3)`

D

`LT^(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
`ct^3=ximplies [c][T^3]=[L]`
`implies [c]=[LT^(-3)]`
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