Find the dimension of a/b in the equation p=a-t2/bx 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
Explanation:
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