Waves Questions and Answers Part-14

1.The wave equation is \[Y = 0.30 \sin\left(314 t- 1.57x\right)\]       where t, x and y are in second, meter and centimeter respectively. The speed of the wave is
a) 100 m/s
b) 200 m/s
c) 300 m/s
d) 400 m/s

Answer: b
Explanation:
q131

2. Equation of the progressive wave is given by : \[Y = a \sin \pi\left(40 t- x\right)\]     where a and x are in metre and t in second. The velocity of the wave is
a) 80 m/s
b) 20 m/s
c) 40 m/s
d) 10 m/s

Answer: c
Explanation:
q132

3.Progressive wave of sound is represented by \[Y = a \sin \left(400\pi t-\pi x/6.85\right)\]      where x is in m and t is in sec. Frequency of the wave will be
a) 200 Hz
b) 400 Hz
c) 500 Hz
d) 600 Hz

Answer: a
Explanation:
q133

4. Two waves of frequencies 20 Hz and 30 Hz. Travels out from a common point. The phase difference between them after 0.6 sec is
a) Zero
b) \[\frac{\pi}{2}\]
c) \[\pi\]
d) \[\frac{3\pi}{4}\]

Answer: a
Explanation:
q134

5. The phase difference between two points separated by 0.8 m in a wave of frequency 120 Hz is \[90^{\circ}\] . Then the velocity of wave will be
a)192 m/s
b) 360 m/s
c) 710 m/s
d) 384 m/s

Answer: d
Explanation:
q135

6. The equation of progressive wave is \[Y = 0.2 \sin 2\pi\left(\frac{t}{0.01}-\frac{x}{0.3}\right)\]      , where x and y are in metre and t is in second. The velocity of propagation of the wave is
a) 30 m/s
b) 40 m/s
c) 300 m/s
d) 400 m/s

Answer: a
Explanation:
q136

7. If the equation of transverse wave is \[Y =5 \sin 2\pi\left(\frac{t}{0.04}-\frac{x}{40}\right)\]      , where distance is in cm and time in second, then the wavelength of the wave is
a) 60 cm
b) 40 cm
c) 35 cm
d) 25 cm

Answer: b
Explanation:
q137

8.A simple harmonic progressive wave is represented by the equation : \[Y =8 \sin 2\pi\left(0.1x-2t\right)\]      where x and y are in cm and t is in seconds. At any instant the phase difference between two particles separated by 2.0 cm in the x-direction is
a)\[18^{\circ}\]
b) \[36^{\circ}\]
c) \[54^{\circ}\]
d) \[72^{\circ}\]

Answer: d
Explanation:
q138

9.The intensity of a progressing plane wave in lossfree medium is
a) Directly proportional to the square of amplitude of the wave
b) Directly proportional to the velocity of the wave
c) Directly proportional to the square of frequency of the wave
d) All of the Above

Answer: d
Explanation:
q139

10.The equation of progressive wave is \[Y =a \sin \left(200 t-x\right)\]      . where x is in meter and t is in second. The velocity of wave is
a) 200 m/sec
b) 100 m/sec
c) 50 m/sec
d) None of these

Answer: a
Explanation:
q140