Question

The dimension of frequency is:
$
  (a){\text{ }}\left[ {{T^{ - 1}}} \right] \\
  (b){\text{ }}\left[ {{M^0}{L^0}T} \right] \\
  (c){\text{ }}\left[ {{M^0}{L^0}{T^{ - 2}}} \right] \\
  (d){\text{ None of these}} \\
$

Answer 1

Hint: In this question use the concept that frequency is the inverse of time period and the dimension of time period is $\left[ T \right]$. So using the dimension of time dimension of frequency can be taken out.

Complete Step-by-Step solution:
As we know frequency (f) is inverse of time period (T).
$ \Rightarrow f = \dfrac{1}{T}$
$ \Rightarrow f = {T^{ - 1}}$
And we all know that the dimension of T is [T], one of the standard dimensions.
So the dimension of frequency is
$f = \left[ {{T^{ - 1}}} \right]$
So this is the required answer.
Hence option (A) is the correct answer.

Note – Frequency refers to the number of waves that passes a fixed point in unit time. It can also be defined as the number of cycles or vibrations undergone during one unit of time by a body undergoing a periodic form of motion in which it repeats itself after some regular or fixed interval of time.