String Fixed at Both Ends

Q. 8.Two waves represented by the following equations travelling in same medium Y1=5sin2pi(75t-0.25x) Y2=10sin2pi(150t-0.5x) The intensity I2/I1 is ?

Q.

What is the formula for damping factor?

Q. 5.Three tuning forks of frequencies 200, 203 and 207 Hz are sounded together. Find out the beat frequency.

Q. 75. two tuning forks of frequency 520 and 524 hz are vibrated together the time interval between successive maximum and minimum intensities is

Q. four tuning forks of frequencies 200 , 201, 204 and 206 Hz are sounded together the beat frequency will be

Q.

A $2m$-long string fixed at both ends is set into vibrations in its first overtone. The wave speed on the string is $200m{s}^{-1}$ and amplitude is $0.5cm$.

(a) Find the wavelength and the frequency.

(b) Write the equation giving the displacement of different points as a function of time. Choose the $x-axis$ along the string with the origin at one end and $t=0$ at the instant when the point $x=50cm$ has reached its maximum displacement.

Q. 38.A tuning fork of frequency 200Hz is in unison with a sonometer wire.The number of beats heard per second when the tension is increased by 1% is .

Q. In a closed pipe the frequency of fundamental mode is 75hz The node of which of the following frequencies can be produced by it 1. 150hz 2. 225hz 3. 200hz or 4.300h

Q. Why the equation y=(x-vt)^{2 } cannot represent a wave

Q. Three tuning forks of frequencies 500 Hz, 501 Hz and 502 Hz respectively are vibrated simul†an eously. The beat frequency heard will be Options: a-Zero b-1 Hz c-2 Hz d- 3 Hz

Q.

Two tuning forks are struck and the sounds from each reach your ears at the same time. One sound has a frequency of 256 Hz, and the second sound has a frequency of 258 Hz. The underlying beat frequency is:

1. 2.0 Hz

2. 257 Hz

3. 256 Hz

4. 258 Hz

Q. how to find whether a equation represents a wave?

Q. A tuning fork A of frequency 380 Hz gives 4 beat in 2 second when sounded with another tuning fork B then frequency of B

Q. a segment of wirevibrates with fundamental frequency 400hz under a tension of 8kg. the tension at which the fundamental frequency of same wire becomes 800hz

Q.

A segment of wire vibrates with a fundamental frequency of $450Hz$ under a tension of$9kg–wt$. Then, tension at which the fundamental frequency of the same wire becomes $900Hz$is

1. $36kg–wt$

2. $27kg–wt$

3. $18kg–wt$

4. $72kg–wt$

Q. Frequency of tuning fork = 256 .It wil\ln ot resonate with a fork of frequency 1) 738 2) 256 3)768 4) 51 4)

Q. The two nearest harmonics of a tube closed at oneend and open at other end are 220 Hz and 260 Hz.What is the fundamental frequency of the system?

Q.

Two guitar strings A and B are slightly out of tune and produce beats of frequency 6Hz.The tension of the string found to decrease to 4 Hz. What is the original frequency of B if the frequency of a is 430Hz?

1. 420 Hz

2. 424 Hz

3. 436 Hz

4. 435 Hz

Q. A string is stretched between fixed points separated by 75 cm. It is observed to have resonant frequencies of 420 Hz and 315 Hz. There are no other resonant frequencies between these two. the lowest resonant frequency for this string is ?

Q. A harmonic source $\left(S\right)$ is driving a taut string. The other end of the string is tied to a wall that is not so rigid. It is observed that standing waves are formed in the string with ratio of amplitudes at the antinodes to that at the nodes equal to $8$. What percentage of wave energy is transmitted to the wall?

1. $18\%$
2. $24\%$
3. $39\%$
4. $53\%$

Q. define wave vector.

Q. In a closed organ pipe of length 105 centimetres standing waves are setup corresponding to 3rd overtone. What distance from the closed end a pressure node is formed?

Q. A tuning fork of frequency 480 Hz is used to vibrate a sonometer wire having natural frequency 240 Hz. The wire will vibrate with a frequency of
(a) 240 Hz
(b) 480 Hz
(c) 720 Hz
(d) will not vibrate.

Q. 19.How many waves of sound having frequency 3400 Hz are required to cover distance of 1000 m?

Q.

Two waves are propagating to the point P along a straight line produced by two sources A and B of simple harmonic and of equal frequency. The amplitude of every wave at P is a and the phase of A is ahead by than that of B and the distance AP is greater than BP by 50 cm. Then the resultant amplitude at the point P will be, if the wavelength is 1 meter

[BVP 2003]

1. 2a

2. 

3. 

4. a

Q. Assertion: If a stretched wire fixed at both ends is vibrating in its second overtone mode, then total number of nodes and antinodes are four each.
Reason: If a stretched wire fixed at both ends is vibrating, number of antinodes are equal to number of loops.
You are required to choose correct one of the following

1. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2. Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
3. Assertion is true but Reason is false.
4. Assertion is false but Reason is true.

Q. A $20\text{cm}$ long string, having a mass of $1.0\text{g}$, is fixed at both ends. The tension in the string is $0.5\text{N}$. The string is set into vibrations using an external oscillator of frequency $100\text{Hz}$. What is the seperation (in $\text{cm)}$ between the successive nodes on the string.

1. $10\text{cm}$
2. $5\text{cm}$
3. $20\text{cm}$
4. $15\text{cm}$

Q. Two sound waves travelling in opposite direction interfere to produce a standing wave in resonance column tube. The equation of standing wave is y = 2 sin (2x) cos(100t), where x is in metre and t is in seconds. What is the distance of first pressure node from closed end of tube 6.9 cm 7.85cm✓

Q. A sonometer wire of length l vibrates in fundamental mode when excited by a tuning fork of frequency 416. Hz. If the length is doubled keeping other things same, the string will
(a) vibrate with a frequency of 416 Hz
(b) vibrate with a frequency of 208 Hz
(c) vibrate with a frequency of 832 Hz
(d) stop vibrating.

Q. A string is stretched between fixed points separated by $75.0cm$. It is observed to have resonant frequencies of $420Hz$ and $315Hz$. There are no other resonant frequencies between these two. The lowest resonant frequency for this string is

1. $105Hz$
2. $155Hz$
3. $205Hz$
4. $10.5Hz$