Explanation:

The momentum correction factor and the energy correction factor are two correction factors used to correct for the effects of viscosity in laminar flow in a pipe.

Momentum Correction Factor:

The momentum correction factor is defined as the ratio of the actual momentum of the fluid to the momentum that would be calculated using the assumption of inviscid flow. It is denoted by the symbol Fm.

Fm = Actual momentum / Momentum assuming inviscid flow

Energy Correction Factor:

The energy correction factor is defined as the ratio of the actual energy of the fluid to the energy that would be calculated using the assumption of inviscid flow. It is denoted by the symbol Fe.

Fe = Actual energy / Energy assuming inviscid flow

Ratio of Fm to Fe:

The ratio of the momentum correction factor to the energy correction factor for laminar flow in a pipe is given by:

Fm/Fe = 1

This means that the momentum correction factor and the energy correction factor are equal in laminar flow in a pipe.

Reason for the Ratio:

The reason for this ratio being 1 is that in laminar flow, the effect of viscosity is the same on both momentum and energy equations. Therefore, the correction factors for both momentum and energy equations are the same.

Conclusion:

Hence, the correct answer to the given question is option B, which states that the ratio of the momentum correction factor to the energy correction factor for laminar flow in a pipe is 1.