Question

The velocity of a particle (v) at an instant t is given by c = at + bt². The dimension of b is........


please solve this answer......​

Answer 1

Explanation:

From the Principles of the Homogeneity of the Dimensions, dimensions in each and every terms remains same. ∴ Dimension of the Acceleration will be same as a and bt. Hence, the dimensions of the b is LT⁻³.

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Answer 2

Answer:

Answer

v=at+bt2

[v]=[bt2] or [LT−1]=[bT2] or [b]=[LT−3]