Which of the following pairs does not hace similar dimensions?

Options

A. Tension and surface tension
B. Stress and Pressure
C. Planck's constant and angular momentum
D. Angle and strin

Answer

A

Explanation

Dimension of surface tension are
Surface tension `= ("force")/("Length")=([MLT^(-2)])/([L])=[MT^(2)]`
Tension`=[MLT^(-2)]`
Hence, dimensions of surface tension and tension are not equal.
While dimensions of stress and pressure are
`[ML^(-1)T^(-1)]`
Panck's constant and angular momentum have dimensions `[ML^(2)T^(-1)]`.
Also angle and strain are dimesnsionless quantities.