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11
MCQ (Multiple Correct Answer)

$$\begin{aligned} &\text { A transverse harmonic wave on a string is described by }\\ &y(x, t)=3.0 \sin \left(36 t+0.018 x+\frac{\pi}{4}\right) \end{aligned}$$

where $x$ and $y$ are in cm and $t$ is in sec. The positive direction of $x$ is from left to right.

A
the wave is travelling from right to left
B
the speed of the wave is $20 \mathrm{~m} / \mathrm{s}$
C
frequency of the wave is 5.7 Hz
D
the least distance between two successive crests in the wave is 2.5 cm
12
MCQ (Multiple Correct Answer)

The displacement of a string is given by

$$y(x, t)=0.06 \sin \left(\frac{2 \pi x}{3}\right) \cos (120 \pi t)$$

where $x$ and $y$ are in metre and $t$ in second. The length of the string is 1.5 m and its mass is $3.0 \times 10^{-2} \mathrm{~kg}$.

A
It represents a progressive wave of frequency 60 Hz
B
It represents a stationary wave of frequency 60 Hz
C
It is the result superposition of two waves of wavelength 3 m , frequency 60 Hz each travelling with a speed of $180 \mathrm{~m} / \mathrm{s}$ in opposite direction
D
Amplitude of this wave is constant
13
MCQ (Multiple Correct Answer)

Speed of sound wave in a fluid depends upon

A
directly on density of the medium
B
square of Bulk modulus of the medium
C
inversly on the square root of density
D
directly on the square root of bulk modulus of the medium
14
MCQ (Multiple Correct Answer)

During propagation of a plane progressive mechanical wave,

A
all the particles are vibrating in the same phase
B
amplitude of all the particles is equal
C
particles of the medium executes SHM
D
wave velocity depends upon the nature of the medium
15
MCQ (Multiple Correct Answer)

The transverse displacement of a string (clamped at its both ends) is given by $y(x, t)=0.06 \sin \left(\frac{2 \pi x}{3}\right) \cos (120 \pi t)$. All the points on the string between two consecutive nodes vibrate with

A
same frequency
B
same phase
C
same energy
D
different amplitude