Question

Laplace's correction to Newton’s formula is based on the fact that the compressions and rarefactions occur as ______.

Options

A
Adiabatic process
B
Isothermal process
C
Isochoric process
D
Isobaric process

Explanation

Laplace's correction to Newton’s formula recognizes that sound waves involve rapid compressions and rarefactions where there is insufficient time for heat exchange with surroundings, making the process adiabatic. Newton's original assumption of an isothermal process (constant temperature) was incorrect because it fails to consider the rapid temperature changes accompanying pressure variations in sound waves.

The adiabatic process assumption accounts for these temperature changes, leading to a more accurate formula for sound speed in gases. The other processes—isochoric (constant volume) and isobaric (constant pressure)—do not describe the conditions experienced during sound wave propagation.

Laplace's correction introduces the adiabatic bulk modulus, accounting for temperature changes during compressions and rarefactions, making the process adiabatic.

Newton assumed isothermal conditions, but this ignored the rapid nature of sound waves where temperature changes occur, making this assumption incorrect.

An isochoric process implies constant volume, which is not applicable to the compressions and rarefactions in sound waves.

An isobaric process implies constant pressure, which does not occur in the dynamic changes of sound wave propagation.