1.Equation of a progressive wave is given by
\[y=4\sin \left\{\pi\left(\frac{t}{5}-\frac{x}{9}\right)+\frac{\pi}{6}\right\}\]
Then which of the following is correct
a) v = 5m/ sec
b) \[\lambda\] = 18 m
c) a = 0.04 m
d) a = 50 Hz
Explanation:
2. With the propagation of a longitudinal wave
through a material medium, the quantities
transmitted in the propagation direction are
a) Energy, momentum and mass
b) Energy
c) Energy and mass
d) Energy and linear momentum
Explanation: Energy and linear momentum
3.The frequency of the sinusoidal wave \[y= 0.40 \cos\left[2000 t + 0.80 x\right]\] would be
a) \[1000 \pi\] Hz
b) 2000 Hz
c) 20 Hz
d) \[\frac{1000}{\pi} Hz\]
Explanation:
4. Which of the following equations represents a
wave
a) \[Y = A\left(\omega t -kx\right)\]
b) \[Y = A\sin\omega t\]
c) \[Y = A\cos kx\]
d) \[Y = A\sin\left(at -bx+c\right)\]
Explanation:
5.The equation of a transverse wave is given by
\[Y = 100 \sin\pi\left(0.04z- 2t\right)\]
where y and z are in cm ant t is in seconds. The
frequency of the wave in Hz is
a) 1
b) 2
c) 25
d) 100
Explanation:
6. The equation of a plane progressive wave is given
by \[y=0.025\sin \left(100 t+0.25 x\right)\] . The frequency of this
wave would be
a) \[\frac{50}{\pi}Hz\]
b) \[\frac{100}{\pi}Hz\]
c) 100 Hz
d) 50 Hz
Explanation:
7. The equation of a sound wave is
\[Y = 0.0015 \sin\left(62.4 x + 316 t\right)\]
The wavelength of this wave is
a) 0.2 unit
b) 0.1 unit
c) 0.3 unit
d) Cannot be calculated
Explanation:
8.In the given progressive wave equation, what is
the maximum velocity of
particle \[Y = 0.5 \sin\left(10\pi t- 5x\right)\] cm
a) 5 cm/s
b) \[5\pi\] cm/s
c) 10 cm/s
d) 10.5 cm/s
Explanation:
9.A pulse or a wave train travels along a stretched
string and reaches the fixed end of the string. It
will be reflected back with
a) The same phase as the incident pulse but with
velocity reversed
b) A phase change of 180° with no reversal of
velocity
c) The same phase as the incident pulse with no
reversal of velocity
d) A phase change of 180° with velocity reversed
Explanation: On reflection from fixed end (denser medium) a phase difference of \[\pi\] is introduced.
10.The equation of a travelling wave is
\[Y = 60 \cos\left(1800 t- 6x\right)\]
where y is in microns, t in seconds and x in
metres. The ratio of maximum particle velocity to
velocity of wave propagation is
a) \[3.6\times 10^{-11}\]
b) \[3.6\times 10^{-6}\]
c) \[3.6\times 10^{-4}\]
d) 3.6
Explanation:
