Q.10 The time dependence of a physical quantity P is
given by P = P. exp(-at"), where a is a constant
and t is time. The constant a
w
(1) dimensionless (2) has dimensions T-2
(3) has dimensions of Р
(4) has dimensions T2
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0
Answer:
Given,
P=P
0
e
α
(−αt
2
)
As we know both P and P
0
are pressure so it have the same units, therefore αt
2
must be dimensionless for which
α=
T
2
1
=T
−2
So the dimension of α is [T
−2
]
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