6. Find the dimensions of the constant a xb in the relation
E = (b - x)/at, where E is energy, x is distance and t
is time.
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Answer:
,E=atb−x2 E is energy x is displacement t time
E=[ML2T−2]
x=[L]
t=[T]
b will have unit same x2
b=[L2]
a=[Etb−x2]=[ML2T−2×T][L2]=[M−1TL0]
a×b=[L2][M−1L0T]
=[M−1L2T]
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