Back to Directory
NEET PHYSICSMedium

Which of the following pair does not have similar dimensions?

A

Stress and pressure

B

Angle and strain

C

Tension and surface tension

D

Planck's constant and angular momentum

Step-by-Step Solution

  1. Stress and Pressure: Both stress and pressure are defined as force per unit area. Therefore, they have the same dimensional formula: [ML−1T−2][ML^{-1}T^{-2}] .
  2. Angle and Strain: Angle is the ratio of arc to radius, and strain is the ratio of change in dimension to original dimension. Both are ratios of identical physical quantities and are dimensionless: [M0L0T0][M^0L^0T^0] .
  3. Tension and Surface Tension: Tension is a type of force, so its dimensional formula is [MLT−2][MLT^{-2}] . Surface tension is defined as force per unit length, so its dimensional formula is [MLT−2][L]=[ML0T−2]\frac{[MLT^{-2}]}{[L]} = [ML^0T^{-2}] or [MT−2][MT^{-2}] . These are not similar.
  4. Planck's constant and Angular momentum: From E=hνE = h\nu, the dimensions of Planck's constant hh are [ML2T−2][T−1]=[ML2T−1]\frac{[ML^2T^{-2}]}{[T^{-1}]} = [ML^2T^{-1}]. Angular momentum L=mvrL = mvr has dimensions [M][LT−1][L]=[ML2T−1][M][LT^{-1}][L] = [ML^2T^{-1}]. Both have the same dimensions .
Practice Mode Available

Master this Topic on Sushrut

Join thousands of students and practice with AI-generated mock tests.

Get Started