Waves

If n1, n2 and n3 are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency n of the string is given by

1. 1n = 1n1 + 1n2 + 1n3
2. 1 n = 1 n1 + 1 n2 + 1 n3
3. n = n1 + n2 + n3
4. n = n1 + n2 + n3

The number of possible natural oscillations of air column in a pipe closed at one end of length 85 cm whose frequencies lie below 1250 Hz are (Velocity of sound = 340 m s-1)

1. 4
2. 5
3. 7
4. 6

A speeding motorcyclist sees traffic jam ahead of him. He slows down to 36 km hour-1. He finds that traffic has eased and a car moving ahead of him at 18 km hour-1 is honking at a frequency of 1392 Hz. If the speed of sound is 343 m s-1, the frequency of the honk as heard by him will be

1. 1332 Hz
2. 1372 Hz
3. 1412 Hz
4. 1454 Hz

If we study the vibration of a pipe open at both ends, then the following statement is not true.

1. All harmonics of the fundamental frequency will be generated.
2. Pressure change will be maximum at both ends.
3. Open end will be antinode.
4. Odd harmonics of the fundamental frequency will be generated.

A wave travelling in the +ve x-direction having displacement along y-direction as 1 m, wavelength 2 m and frequency of 1 Hz is represented by

1. y = sin(10 x - 20 t)
2. y = sin(2 x + 2 t)
3. y = sin(x - 2t)
4. y = sin(2 x - 2 t)

A source of unknown frequency gives 4 beats/s when sounded with a source of known frequency 250 Hz. The second harmonic of the source of unknown frequency gives five beats per second, when sounded with a source of frequency 513 Hz. The unknown frequency is

1. 240 Hz
2. 260 Hz
3. 254 Hz
4. 246 Hz

The length of the wire between two ends of a sonometer is 100 cm. What should be the positions of two bridges below the wire so that the three segments of the wire have their fundamental frequencies in the ratio 1 : 3 : 5.

1. 150023 cm, 50023 cm
2. 150023 cm, 30023 cm
3. 30023 cm, 150023 cm
4. 150023 cm, 200023 cm

Two sources P and Q produce notes of frequency 660 Hz each. A listener moves from P to Q with a speed of 1 m s-1. If the speed of sound is 330 m/s, then the number of beats heard by the listener per second will be

1. 4
2. 8
3. 2
4. zero

The equation of a simple harmonic wave is given by y = 3 2(50t - x), where x and y are in metres and t is in seconds. The ratio of maximum particle velocity to the wave velocity is

1. 2
2. 32
3. 3
4. 23

A train moving at a speed of 220 m s-1 towards a stationary object, emits a sound of frequency 1000 Hz. Some of the sound reaching the object gets reflected back to the train as echo. The frequency of the echo as detected by the driver of the train is (Speed of sound in air is 330 m s-1)

1. 3500 Hz
2. 4000 Hz
3. 5000 Hz
4. 3000 Hz