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Question

The pair of quantities that do not have the same dimensions is:
  1. Latent heat, specific heat
  2. Gravitational force, Coulomb force
  3. Kinetic energy of a freely falling body, potential energy of a compressed spring
  4. Coefficient of friction, number of molecules in a container

A
Latent heat, specific heat
B
Kinetic energy of a freely falling body, potential energy of a compressed spring
C
Coefficient of friction, number of molecules in a container
D
Gravitational force, Coulomb force
Solution
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Latent heat has a dimension: [L2T2]
Specific heat has a dimension: [L2T2K1]. So they does not have same dimension.
Other options are like:
B) Both have a dimension of force
C) Both have dimension of energy
D) Both are dimensionless

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