Which statement is true for a sound wave entering an area of warmer air?

a. the wave travels faster and with the same wavelength.
b. the wave travels at the same speed but with an increased wavelength.
c. the wave travels at the same speed and with the same wavelength.
d. the wave travels slower and with an increased wavelength.
e. the wave travels faster and with an increased wavelength.

E. The wave travels faster and with an increased wavelength.

Explanation:

As we know speed of the sound depends on the temperature of medium, higher the speed of sound more will be the temperature.

As the sound enters an area of warmer temperature, that molecules of that area posses high kinetic energy hence they vibrate faster resulting an increase in speed of sound. Now more the speed, more will be the wavelength.

Hence when sound wave enters an area of warmer air it will travel with a faster speed  and with an increased wavelength.

you'd use the equation that establishes a relationship between  energy  and  wavelength, which looks like this

e=h⋅cλ, where

λ  - the wavelength of the photon; c  - the speed of light, usually given as  3⋅108m/s; h  -  planck's constant, equal to  6.626⋅10−34j s

plug the value you were given for the energy of the photon in the above equation to get the wavelength

e=h⋅cλ⇒λ=h⋅ce

λ=6.626⋅10−34js⋅3⋅108ms−1.257⋅10−24j=1.581⋅10−1m