Question Detail

PHY 101 Physical Quantities And Units Objective Question

Question

If the number of radioactive atoms is N(t) = N₀ exp(−kt), where N₀ is the number at t=0, what is the dimension of k?
Options
A L/T
B log(T)
C T
D T⁻¹
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

The exponent (−kt) must be dimensionless. t has dimension T, so k must have dimension T⁻¹.

Hint

The argument of an exponential function must be dimensionless.

Question Info