A force F is given by F=at + b t 2 , where t is time. What are the dimensions of a and b Options: A . &nbspMLT−3 and ML2T−4 B . &nbspMLT−3 and MLT−4 C . &nbspMLT−1 and MLT0 D . &nbspMLT−4 and MLT−1

Answer: Option B : B Dimension of a is same as that of F t .i.e. M L T − 3 Dimension of b is same as that of F t 2 .i.e M L T − 4

A force F is given by F=at + bt2 , where t is time. What are the dimensions of a

Question

A force F is given by F=at +

b t^{2}

, where t is time. What are the dimensions of a and b

Options:

A . MLT−3 and ML2T−4

B . MLT−3 and MLT−4

C . MLT−1 and MLT0

D . MLT−4 and MLT−1

Answer: Option B
:
B
Dimension of a is same as that of

\frac{F}{t}

.i.e.

M L T^{- 3}

Dimension of b is same as that of

\frac{F}{t^{2}}

.i.e

M L T^{- 4}

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