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Question

The pair of quantities that do not have the same dimensions is _________________.

A
latent heat, specific heat
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B
gravitational force, coulomb force
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C
kinetic energy of a freely failing body, potential energy of a compressed spring
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D
coefficient of friction, number of molecules in a container
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Solution

The correct option is A latent heat, specific heat
Specific heat is the energy required to change a unit mass of a material by 10C. Unit of specific heat is Energy per unit mass per degree
Latent heat is the energy required to change the state (gas, liquid, solid) of a unit mass of material. Unit of latent heat is Energy per unit mass.
Since both latent heat and specific heat has same units, it has same dimension.

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