Find the dimensions of a x b in the relation : P = , where P is power, x is at
b−x
2
distance and t is time.
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11th
Physics
Units and Measurement
Dimensions and Dimensional Analysis
Write the dimensions of a a...
PHYSICS
Write the dimensions of a and b in the relation: P=
at
b−x
2
Where P is power, x is distance and t is time.
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ANSWER
Dimensions of Power: P−ML
2
T
−3
Since the given expression is dimensionally correct, each term of the expression must have same dimensions as that of power.
Therefore,
[a][t]
[x
2
]
=
[a]T
L
2
=ML
2
T
−3
⇒[a]−M
−1
L
0
T
2
[a][t]
[b]
=
(M
−1
L
0
T
2
)(T)
[b]
=ML
2
T
−3
⇒[b]−L
2
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