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Units and Measurements — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsUnits and Measurements1 Mark
Question
The pairs of physical quantities that have the same dimensions are:
  1. Reynolds number and coefficient of friction.
  2. Latent heat and gravitational potential.
  3. Curie and frequency of light wave.
  4. Planck's constant and torque.
✓

Answer

  1. Reynolds number and coefficient of friction.
  2. Latent heat and gravitational potential.
  3. Curie and frequency of light wave.
Explanation:
  1. Reynolds number and coefficient of friction, both are dimensionless.
  2. $\text{L}=\frac{\text{Q}}{\text{m}}=\frac{\text{ML}^2\text{T}^{-2}}{\text{M}}=[\text{L}^{2}\text{T}^{-2}]$
Gravitational Potential $=\frac{​​\text{W}}{\text{m}}=\frac{\text{ML}^{2}\text{T}^{-2}}{\text{M}}=[\text{L}^2\text{T}^{-2}]$
  1. $1$ curie $=3.7\times10^{10}$ disintegrations$/$ sec $=$
$\text{T}^{-1}$= Frequency $=\text{T}^{-1}$

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