1.Wave equations of two particles are given by \[y_{1}=a\sin\left(\omega t-kx\right),y_{2}=a\sin\left(kx+\omega t\right)\] , then
a) They are moving in opposite direction
b) Phase between them is 90°
c) Phase between them is 180°
d) Phase between them is 0°
Explanation: Both waves are moving opposite to each other .
2. A wave is represented by the equation \[y=0.5\sin\left(10 t-x\right)m\] . It is a travelling wave
propagating along the + x direction with velocity
a) 10 m/s
b) 20 m/s
c) 5 m/s
d) None of these
Explanation:
3.A wave is represented by the equation \[y=7\sin\left(7\pi t-0.04x\pi+\frac{\pi}{3}\right)\] is in metres and t is in seconds. The speed of the
wave is
a) 175 m/sec
b) \[49 \pi\] m/sec
c) \[9 \pi\] m/sec
d) \[0.28\pi\] m/sec
Explanation:
4. The equation of a transverse wave travelling on a
rope is given by \[y=10\sin \pi\left(0.01x-2.00 t\right)\] where y
and x are in cm and t in seconds. The maximum
transverse speed of a particle in the rope is about
a) 63 cm/s
b) 75 cm/s
c) 100 cm/s
d) 121 cm/s
Explanation:
5. As a wave propagates
a) The wave intensity remains constant for a
plane wave
b) Total intensity of the spherical wave over the
spherical surface centered at the source
remains constant at all times
c) The wave intensity decreases as the inverse
square of the distance from the source for a
spherical wave
d) All of the Above
Explanation: For a travelling wave, the intensity of wave remains constant if it is a plane wave.
6. A transverse wave is represented by the equation
\[y=y_{0}\sin \frac{2\pi}{\lambda}\left(v t-x\right)\]
For what value of \[\lambda\] , the maximum particle
velocity equal to two times the wave velocity
a) \[\lambda =2\pi y_{0}\]
b) \[\lambda =\pi y_{0}/3\]
c) \[\lambda =\pi y_{0}/2\]
d) \[\lambda =\pi y_{0}\]
Explanation:
7. A travelling wave in a stretched string is
described by the equation \[y=A\sin \left(k x-\omega t\right)\] . The
maximum particle velocity is
a) \[A\omega\]
b) \[\omega/k\]
c) \[ d\omega/ dk\]
d) x/t
Explanation:
8.A wave travels in a medium according to the
equation of displacement given by
\[y\left(x,t\right)=0.03\sin \pi\left(2 t-0.01 x\right)\]
where y and x are in metres and t in seconds. The
wavelength of the wave is
a) 200 m
b) 100 m
c) 20 m
d) 10 m
Explanation:
9.The particles of a medium vibrate about their
mean positions whenever a wave travels through
that medium. The phase difference between the
vibrations of two such particles
a) Varies with time
b) Varies with distance separating them
c) Varies with time as well as distance
d) Is always zero
Explanation: Varies with distance separating them
10. A wave is given by \[y=3\sin 2\pi\left(\frac{t}{0.04}-\frac{x}{0.01}\right)\] , where
y is in cm. Frequency of wave and maximum
acceleration of particle will be
a) 100 Hz, 4.7 \[\times10^{3} cm / s^{2}\]
b) 50 Hz, 7.5 \[\times10^{3} cm / s^{2}\]
c) 25 Hz, 4.7 \[\times10^{4} cm / s^{2}\]
d) 25 Hz, 7.4 \[\times10^{4} cm / s^{2}\]
Explanation:
