Question

In gases which waves cannot propagate?
$\left( A \right)$ Standing wave
$\left( B \right)$ Longitudinal wave
$\left( C \right)$ Transverse wave
$\left( D \right)$ None of the above

Answer 1

Hint: In this problem using the idea that there should be a force to induce motion perpendicular to the direction of the wave to travel in gases and use this definition to arrive at the solution of the problem.
Complete Step-by-Step solution:
Standing wave
In physics, a standing wave, also known as a stationary wave, is a wave that oscillates over time but does not travel in space at its peak amplitude profile. The peak amplitude of the wave oscillations is constant with time at any point in space, and the oscillations in the wave at various points are in phase.
For example: Wave of sine and cosine.

Longitudinal wave
Longitudinal waves are waves in which the mean is shifted in the same direction as the propagation path of the wave, or in the opposite direction.
For example: Waves of sound

Transverse wave
A transverse wave in physics is a moving wave, whose oscillations are perpendicular to the direction of the wave or propagation path.
For instance: Electromagnetic waves.
Already because we know the gases are without powers.
Transverse waves are not capable of propagating in gases because there are no forces that induce motion perpendicular to the wave direction. A transverse wave propagates in a solid, because each solid atom has an "equilibrium location" where all of its neighboring atoms balance the forces on it.
So this is the required answer.
Hence option (C) is the correct answer.

Note – If we face these types of questions, always remember all the standard definitions of all the waves given above, then test which wave is propagating in gases and which are not like moving in gases, there should be a force that causes motion perpendicular to the wave direction.