Question

The physical quantity which has zero dimensions in mass is

Answer 1

Explanation:

There is no physical quantity which has dimensions but no units, because units are derived from the dimensional analysis itself.

Answer 2

Answer:

The physical quantity which has zero dimensions in mass exists

(A) Gravitational potential

(B) Latent heat

(C) Specific heat capacity.

Explanation:

The gravitational potential at a point in a gravitational field exists as the work done per unit mass that would maintain to be accomplished by some externally used force to get a massive object to that point from some specified position of zero potential, usually infinity.

The dimension of the gravitational potential = [(Force/ Mass) r]

$=\left[\frac{\text { Force }}{\text { Mass }} \times r\right]$

$=\left[\frac{M^{1} L^{2} T^{-2}}{M^{1}}\right]$

$=\left[M^{0} L^{2} T^{-2}\right]$

The latent heat exists as the energy absorbed or emitted by a substance during a difference in its physical state (phase) that happens without changing its temperature.

Dimension of the latent heat exists, = [Energy/ Mass]

$=\left[\frac{\text { Energy }}{\text { Mass }}\right]=\left[\frac{M^{1} L^{2} T^{-2}}{M}\right]=\left[L^{2} T^{-2}\right] \ldots \ldots .(2)$

Now, the dimension of the specific heat capacity is = $=\left[\frac{\text { Energy }}{\text { Mass } \times \text { temp }}\right]=\left[\frac{M^{1} L^{2} T^{-2}}{M^{1} K^{1}}\right]=\left[L^{2} T^{-2} K^{-1}\right]\ldots(3)$

So, the physical quantity which has zero dimensions in mass exists

(A) Gravitational potential

(B) Latent heat

(C) Specific heat capacity

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