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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 the time.

A
ML2T
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B
M1L2T1
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C
ML2T2
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D
MLT2
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Solution

The correct option is B M1L2T1
E=bx2at E is energy x is displacement t time
E=[ML2T2]
x=[L]
t=[T]
b will have unit same x2
b=[L2]
a=[bx2Et]=[L2][ML2T2×T]=[M1TL0]
a×b=[L2][M1L0T]
=[M1L2T]

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