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Q.

The time dependence of a physical quantity P is given by P=P0e−αt2,where α is a constant and t is time. Then constant α is/has

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a

Dimensionless

b

Dimensions of T-2

c

Dimensions of P

d

Dimensions of T2

answer is B.

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Detailed Solution

Here αt2 is a dimensionless. Therefore, α = 1/t2 and has the dimensions of T-2.
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