Question

The velocity v of a particle depends upon time t according to the equation v =a+bt+ c÷d+t . Write the dimensions of a,b,c and d

Answer 1

Answer:

Solution :

From principle of homogeneily .

[a]=[v]or[a]=[LT−1]

[bt]=[v]or[b]=[v][l]=[LT−1][T]

or [k]=[LT−2]

Similarly, [d]=[t]=[T]

Further,[c][d+1]=[v] or [c]=[v][d+1]

or [c]=[LT]−1[T]or[c]=[L].

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Explanation: