Reflection and Refraction of a Wave

Which one of the following physical quantity does NOT change when a wave transmits from one medium to another medium?

The equation of a wave incident on a surface from air is given by

$y=10\sin \left(1000\mathrm{\pi }t-2\mathrm{\pi }\times {10}^{7}x\right)$

Here, $y$ is in $\text{cm}$, $x$ is in $\text{m}$ and $t$ is in $\text{seconds}$. Find the equation of transmitted wave if the refractive index of the surface is $\frac{3}{2}$.

The equation of a progressive wave is given by

$y=A\sin \left(\omega t-kx\right)$

Here, $A$ is the amplitude of the wave
$\omega$ is the angular frequency of the wave
$k$ is the wave vector of the wave

Choose the correct option if this wave is transmitted in a medium with a refractive index $1.5$ times that of the previous one.

A wave is transmitted from a medium with a refractive index of $\frac{3}{2}$ to another medium with a refractive index of $\frac{4}{3}$. Calculate the ratio of speed of the wave in the rarer medium with respective to the denser medium in decimals.

A wave is travelling from a denser medium to a rarer medium. The velocity, wavelength, and frequency of the wave in rarer medium and denser medium are given by $v_r, {\lambda }_r, f_r$ and $v_d, {\lambda }_d, f_d$ respectively. Select the correct option.

When a wave is transmitted from a rarer medium to denser medium, its velocity increases.

When a wave is transmitted from one medium to another medium, its wavelength changes.

While the refraction of sound wave which of the following properties of sound wave changes.

During refraction of light the frequency of the sound wave remains the same.

Laws of refraction of sound wave is _____ to laws of refraction of light.

A man standing on a cliff claps his hand hears its echo after $1 \mathrm{s}$. If sound is reflected from mountain and velocity of sound in air is $340 \mathrm{m} {\mathrm{s}}^{-1}$. Then, the distance between the man and reflection point is,

Phase difference between the incident and reflected wave, when the reflection happens at fixed end:

Describe the reflection of the wave from a free end.

Describe the reflection of a wave from fixed end.

Write the equation of reflected wave which is reflected from a free end if the equation of incident wave is $y(x,t) = a\sin (kx-\omega t)$. 

Write the equation of reflected wave which is reflected from a fixed end if the equation of incident wave is $y(x,t) = a\sin (kx-\omega t)$. 

In an empty room why is it that a tone sounds louder than in the room having things like furniture etc.

A source of sound of frequency $600 \mathrm{Hz}$ is placed inside a water. The speed of sound in water is $1500 \mathrm{m} {\mathrm{s}}^{-1}$ and in air is $300 \mathrm{m} {\mathrm{s}}^{-1}$. The frequency of sound recorded by an observer who is standing in air is,

When sound wave is refracted from air to water, which quantity remains unchanged?

Which of the following statement regarding phase difference, $\Delta \varphi$ between waves at $x=0$ is true?