Question 1 :
The transverse displacement y(x,t) of a wave on a string is given by y(x,t) = ${ e }^{ \left( { ax }^{ 2 }+{ bt }^{ 2 }+2\sqrt { ab } xt \right) }$.This represents a<br><br>
Question 2 :
A radio station transmits waves of wavelength 400 m. If the speed of the waves is $4\, \times\, 10^8\, ms^{-1}$, Find the frequency of the radio station.
Question 4 :
The height of the crests of a wave is called its :
Question 5 :
A wave is travelling on a string with the frequency $4$ cycles per second, and its speed is 0.08 meters per second.<br/>Calculate the time period of the wave?
Question 6 :
Two travelling waves of equal frequency, with amplitude $4 cm$ and $6 cm$ respectively, superimpose in a single medium. Find out the range of the amplitude, $A$, of the resultant wave?
Question 7 :
A ripple is created in water. The amplitude at a distance of 5 cm from the point where the sound ripple was created is 4 cm. Ignoring damping, what will be the amplitude at the distance of 10 cm.
Question 8 :
The displacement of a particle executing simple harmonic motion is given by<br/>$x = 3 sin [2 \pi t + \frac{\pi}{4}]$ where x is in metres and t is in seconds. The amplitude and maximum speed of the particle is:
Question 9 :
Transverse waves on a string have wave speed $8.00$ m/s, amplitude $0.0700\  m$ and wavelength $0.32\  m$. The waves travel in the negative x-direction and $t = 0$ the $x = 0$ end of the string has its maximum upward displacement. Write a wave function describing the wave.
Question 10 :
In a closed end organ pipe, if $l_1$ and $l_2$ are two successive resonating lengths, then $2(l_2-l_1)$ is ________ .<br/>
Question 11 :
The phase difference between two points separated by 0.8 m in a wave of frequency 120 Hz is $90^{0}$. Then the velocity of wave will be
Question 12 :
An object is vibrating at $50$ hertz. What is its time period?<br>
Question 13 :
The equation of standing wave in a stretched string is given by by y = 5sin($\frac{{\pi}{x}} {3}$) cos $(40{\pi}t)$, where x and y are in cm and t in second. The separation between two consecutive nodes is (in cm)
Question 14 :
State whether true or false:<br/>Speed of sound can never exceed the average molecular speed in a fluid. <br/>
Question 15 :
A tuning fork of frequency 340 Hz is vibrated just above a cylindrical tube of length 120 cm. Water is slowly poured in the tube. If the speed of sound in air is 340 m/s, then the minimum height of water required for resonance is<br/>
Question 16 :
A transverse wave travels along the Z-axis. The particles of the medium must move
Question 17 :
A wave $10\sin{(ax+bt)}$ is reflected from dense medium at an origin. If 81% of energy is reflected then the equation of reflected wave is
Question 19 :
Amplitude of a travelling wave on a string is 1mm. If linear mass density of string is $10^{-4}kg $ $m^{-1} $ , tension in the string is $1N$ and frequency of vibration is $10Hz$, then average power needed to maintain such waves in string is : ($\pi^{2}=10$)<br/>
Question 20 :
The velocity and amplitude of the component traveling waves are respectively<br/>