1. Which of the following is not a dimensionless variable? *
(a) Refractive Index
(b) Relative density
(c) Angular displacement
(d) Angular velocity
Answers
Answer:
d option is correct.
Explanation:
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Given : Different variables
To Find : Which of the following is not a dimensionless variable
(a) Refractive Index
(b) Relative density
(c) Angular displacement
(d) Angular velocity
Solution:
Refractive Index is relative speed at which light moves through a material with respect to speed in vacuum
Hence Refractive Index is Dimensionless
Relative density is relative density with respect to density of water
Hence Relative density is Dimensionless
Angular displacement is ratio of the length of the arc to the radius of the circle
Hence Angular displacement is Dimensionless
Angular velocity is measure of rotation rate,
Hence its dimension is T⁻¹
Hence Angular velocity is not a dimensionless variable
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