String Open at One End

Q.

A stretched string of 1m length and mass $5\times {10}^{-4}$ Kg is having tension of 20N.

If it is plucked at 25cm from one end then it will vibrate with frequency

[RPET 1999; RPMT 2002]

1. 100 Hz

2. 200 Hz

3. 256 Hz

4. 400 Hz

Q.

Can we generate PWM from PPM?

Q. the length of a string tied to two rigid support is 40cm maximum length of stationary wave produced on it is

Q.

If the phase difference between the two wave is 2p during superposition, then the resultant amplitude is

[DPMT 2001]

1. Minimum

2. Maximum

3. Maximum or minimum

4. None of the above

Q. 13.) The displacement of a wave pulse is given byct1010m att . The velocity of wave pulse is (t is in s and2x is in m)(1) 4 m/s(3) 0.25 m/s(r(2) 2.5 m/s(4) -8 m/s

Q. a uniform string of length l is suspended from a point on ceiling a small wave pulse is now introduced at its lowest end and start moving up towards ceiling the acceleration of the moving pulse is

Q. A tuning fork of frequency $340\text{Hz}$ is vibrated just above the tube of $120\text{cm}$ height. Water is poured slowly in the tube. What is the minimum height of water necessary for the resonance?
$[$Take speed of sound $=340\text{m/s}]$

1. $20\text{cm}$
2. $45\text{cm}$
3. $30\text{cm}$
4. $25\text{cm}$

Q. 6. A wave pulse is travelling on a string with a speed v towards the positive X -axis. The shape of the string at {t=0 is given by g(x)=A\operatorname{sin(x/a), where A and a are constants. { (a) What are the dimensions of A and a?Write the equation of the wave for a general time t , if the wave speed is v .

Q. A travelling wave pulse is given by43x2 +48t2+24xt +2where X and y are in metre and t is in second. Thevelocity of wave is

Q. how waves are produced in ocean

Q. A $12\text{cm}$ long vibrating string is fixed at one end and free at the other end. If the speed of wave on string is $48\text{cm/s}$ and string is vibrating in second overtone, find the frequency of vibration.

1. $2\text{Hz}$
2. $10\text{Hz}$
3. $5\text{Hz}$
4. $16\text{Hz}$

Q. A pipe 20 cm long is closed at one end. Which harmonic mode of the pipe is resonantly excited by a 430 Hz source ? Will the same source be in resonance with the pipe if both ends are open ? (speed of sound in air is 340 m $s^{-1}$ )

Q. a wave pulse is travelling on a string of linear mass density 1.0 g/cm under a tension of 10N. Calculate time taken by the pulse to travel a distance of 50cm on the string

Q. 139.If at t = 0, a travelling wave pulse on a string is described by the function . What will be the wave function representing the pulse at time t, if the pulse is propagating along positive x-axis with speed 4 m/s?

Q. If fundamental frequency is $50\text{Hz}$ and next succesive frequencies are $150\text{Hz}$ and $250\text{Hz}$, then which of the following options correctly represents the state of the string?

1. String fixed at both end
2. String fixed at one end & free at other
3. String may be fixed at one end as well as at both ends
4. None of the above

Q. A $1\text{m}$ long horizontal rope, having a mass of $40\text{g}$, is fixed at one end and is tied to a light string at the other end. The tension in the rope is $400\text{N}$. What will be the wavelengths (in $\text{metres}$) in the first and second overtone ?

1. $\frac{3}{4},\frac{3}{4}$
2. $\frac{4}{3},\frac{4}{5}$
3. $\frac{5}{4},\frac{5}{3}$
4. $\frac{4}{5},\frac{4}{3}$

Q.

explain path length.

Q. If at t=0 , a travelling wave pulse on a string is described by the function y=6÷(x^2 + 3). what will be the wave function representing the pulse at time t, if the pulse is propagating along positive x axis with speed 4m/s. pleas explain how to solv

Q. A wave pulse is travelling on a string at 2 m/s. Displacement Y of the particle at X=0 at any time t is given by equation Y= 2/t^2 A+1. Find the expression of the function Y; X and t

Q.

A piston is fitted in a cylindrical tube of small cross section with the other end of the tube open. The tube resonates with a tuning fork of frequency 512 Hz. The piston is gradually pulled out of the tube and it is found that a second resonance occurs when the piston is pulled out through a distance of 32.0 cm. Calculate the speed of sound in the medium of the tube.

1. $328\frac{m}{s}$

2. $512\frac{m}{s}$

3. $448\frac{m}{s}$

4. None of these

Q. A wave pulse is travelling on string in +x direction.The shape of a string at t=0 is given by f(x)=Asin( x/a), where `A`and`a`are constant.If wave speed is v, write the wave equation.

Q. A source of sound and detector are arranged as shown in Fig. 6.46. The detector is moving along a circle with constant angular speed $\omega$. It starts from the shown location in anti-clockwise at $t=0$ .
(Take velocity of sound in air as $v$ .)
Based on this information answer the question
What is the frequency as received by the detector, when it rotates by an angle $\frac{\pi }{2}$?

1. $f$
2. $\frac{\nu -\omega R}{\nu }\times f$
3. $\frac{\nu -\omega R\times \frac{2}{\sqrt{5}}}{\nu }\times f$
4. $\frac{\nu -\omega \frac{R}{2}}{\nu }\times f$

Q. A $12\text{cm}$ long vibrating string is fixed at one end and free at the other end. If the speed of wave on string is $48\text{cm/s}$ and string is vibrating in second overtone, find the frequency of vibration.

1. $2\text{Hz}$
2. $10\text{Hz}$
3. $5\text{Hz}$
4. $16\text{Hz}$