Pressure Wave vs Displacement Wave

Q.

Two sources of sound A and B produces the wave of 350 Hz, they vibrate in the same phase. The particle P is vibrating under the influence of these two waves, if the amplitudes at the point P produced by the two waves is 0.3 mm and 0.4 mm, then the resultant amplitude of the point P will be when AP - BP = 25 cm and the velocity of sound is 350 m/sec

1. 0.7 mm

2. 0.1 mm

3. 0.5 mm

4. 0.2 mm

Q. What is the displacement amplitude of a sound wave having frequency of $100\text{Hz}$ and pressure amplitude $10\text{Pa}$?
[speed of sound in air $=340\text{m/s}$ and density of air $=1.29{\text{kg/m}}^3$]

1. $2.5\times {10}^{-5}\text{m}$
2. $3.6\times {10}^{-5}\text{m}$
3. $4.5\times {10}^{-5}\text{m}$
4. $1.5\times {10}^{-5}\text{m}$

Q. Consider the following statements about sound passing through a gas.
(A) The pressure of the gas at a point oscillates in time.
(B) The position of a small layer of the gas oscillates in time.

(a) Both A and B are correct.
(b) A is correct but B is wrong.
(c) B is correct but A is wrong.
(d) Both A and B are wrong.

Q. If the pressure amplitude of sound wave in a medium is tripled and the wavelength is doubled then the amplitude of displacement of the particles in the medium becomes $x$ times the initial value. The value of $x$ is

1. $5$
2. $3$
3. $2$
4. $6$

Q. in a simle harmonic wave , minimum dis†an ce between particle in same phase always having equal velocit i

Q. Maximum sound pressure tolerable by the human ear is $30{\text{N/m}}^2$. For a sound of frequency ${10}^3\text{Hz}$ and speed $300\text{m/s}$, the maximum displacement of particles of the medium is
[density of air $=1.5{\text{kg/m}}^3)$]

1. $\frac{1}{6\pi }\times {10}^{-4}\text{m}$
2. $\frac{1}{5\pi }\times {10}^{-4}\text{m}$
3. $\frac{1}{4\pi }\times {10}^{-4}\text{m}$
4. $\frac{1}{3\pi }\times {10}^{-4}\text{m}$

Q. If the pressure variation in the medium is represented by equation $P=\Delta P_o\sin (kx-\omega t)$ then the resulting density variation in medium is suitably represented by equation

1. $\rho =\Delta {\rho }_o\cos (kx-\omega t)$
2. $\rho =-\Delta {\rho }_o\sin (kx-\omega t)$
3. $\rho =-\Delta {\rho }_o\cos (kx-\omega t)$
4. $\rho =\Delta {\rho }_o\sin (kx-\omega t)$

Q. The variation of pressure in a medium due to propagation of sound is represented as

Which of the following graph correctly represents the displacement of particles of the medium?

1. 
2. 
3. 
4. 

Q. For a sound wave travelling towards +x direction, sinusoidal longitudinal displacement $\xi$ at a certain time is given as a function of x(Figure). If bulk modulus of air is $B=5\times {10}^{5}N/m^2$, the variation of pressure excess will be

1. 
2. 
3. 
4.