The transverse displacement y (x, t) of a wave is given by y(x, t) = e
This represents a :
1. wave moving in -x-direction with speed
2. standing wave of frequency
3. standing wave of frequency
4. wave moving in + x-direction speed
A tuning fork arrangement (pair) produces 4 beats/sec with one fork of frequency 288 cps. A little wax is placed on the unknown fork and it then produces 2 beats/sec. The frequency of the unknown fork is:
1. 286 cps
2. 292 cps
3. 294 cps
4. 288 cps
The disturbance y (x, t) of a wave propagating in the positive x-direction is given by y = at time t = 0 and by y = at t = 2 s, where x and y are in meters. The shape of the wave disturbance does not change during the propagation. The velocity of wave in m/s is :
1. 2.0
2. 4.0
3. 0.5
4. 1.0
When two sound waves travel in the same direction in a medium, the displacements of a particle located at 'x' at time 't' is given by :
y = 0.05cos(0.50x - 100t)
y = 0.05cos(0.46x - 92t)
where y, y and x are in meters and t in seconds. The speed of sound in the medium is :
1. 92 m/s
2. 200 m/s
3. 100 m/s
4. 332 m/s
A sonometer wire of length 114 cm is fixed at both ends. Where should the two bridges be placed so as to divide the wire into three segments whose fundamental frequencies are in the ratio 1 : 3 : 4?
1. At 36 cm and 84 cm from one end
2. At 24 cm and 72 cm from one end
3. At 48 cm and 96 cm from one end
4. At 72 cm and 96 cm from one end
While measuring the speed of the sound by performing a resonance column experiment, a student gets the first resonance condition at a column length of 18 cm during winter. Repeating the same experiment during summer, she measures the column length to be x cm for the second resonance. Then :
1. 18 > x
2. x > 54
3. 54 > x > 36
4. 36 > x > 18
An engines approaches a hill with a constant speed. When it is at a distance of 0.9 km, it blows a whistle whose echo is heard by the driver after 5 seconds. If the speed of sound in air is 330 m/s, then the speed of the engine is :
1. 32 m/s
2. 27.5 m/s
3. 60 m/s
4. 30 m/s
An organ pipe, open from both ends produces 5 beats per second when vibrated with a source of frequency 200 Hz. The second harmonic of the same pipes produces 10 beats per second with a source of frequency of 420 Hz. The fundamental frequency of organ pipe is :
1. 195 Hz
2. 205 Hz
3. 190 Hz
4. 210 Hz
A column of air and a tuning fork produce 4 beats per second when sounded together. The tuning fork gives the lower note. The temperature of air is 15C. When the temperature falls to 10C, the two produce 3 beats per second. Find the frequency of the fork.
1. 210 Hz
2. 113 Hz
3. 112 Hz
4. 110 Hz
The vibrations of a string of length 60 cm fixed at both the ends are represented by the equation where x and y are in cm. The maximum number of loops that can be formed in it is :
1. 4
2. 16
3. 5
4. 15
A tuning fork of frequency 512 Hz makes 4 beats per second with the vibrating string of a piano. The beat frequency decreases to 2 beats per sec when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was :
1.510 Hz
2. 514 Hz
3. 516 Hz
4. 508 Hz
A wave traveling along the x-axis is described by the equation . If the wavelength and the time period of the wave are 0.08 m and 2.0 s, respectively, then and in appropriate units are :
1.
2.
3.
4.
An engine running at speed sounds a whistle of frequency 600 Hz. A passenger in a train coming from the opposite side at speed experiences this whistle to be of frequency f. If v is speed of sound in air and there is no wind, f is near to :
1. 710 Hz
2. 630 Hz
3. 580 Hz
4. 510 Hz
The fundamental frequency of an organ pipe is 512 Hz. If its length is increased, then the frequency will :
1. decrease
2. increase
3. remains same
4. cannot be predicted
A pipe of length , closed at one end is kept in a chamber of gas of density . A second pipe open at both ends is placed in a second chamber of gas of density . The compressibility of both gases is equal. Calculate the length of the second pipe if the frequency of the first overtone in both cases is equal :
1.
2.
3.
4.