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If x=at^(2)+bt+c where x is displacement...

If `x=at^(2)+bt+c` where x is displacement as a function of time. The dimension of 'a' and 'b' are respectivily ….

A

`LT^(-1)` and `LT^(-2)`

B

`LT^(-2)and LT^(-1)`

C

L and `LT^(-2)`

D

`LT^(-1)` and L

Text Solution

Verified by Experts

The correct Answer is:
B
According to principle of homogeneitly a,the displacement , `x=at^(2)+bt+c`
dimensionally, `[L]+[LT^(-2)][T^(2)]+[LT^(-1)][T]`
where a =`LT^(-2)` and `b=LT^(-1)`
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