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Question

Write the dimensions of (a×b) in the relation E=bx2at, where E is the energy, x is the displacement and t is time.

A
[ML2T]
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B
[M1L2T]
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C
[ML2T1]
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D
[M1L2T1]
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Solution

The correct option is B [M1L2T]
Given relation is E=bx2at,
so, here b and x2 should have same dimension i.e. [b]=[L2]
Also, [a]=[bx2][E][t]
[a]=[L2][ML2T2][T]=[M1T]
Thus, we have
[a×b]=[M1T][L2]=[M1L2T]

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