MCQ (Single Correct Answer)
1

The equation of a progressive wave can be given by $$y = 15\sin (660\pi t - 0.02\pi x)$$ cm. The frequency of the wave is

WB JEE 2008
2

A hollow cylinder with both sides open generates a frequency f in air. When the cylinder vertically immersed into water by half its length the frequency will be

WB JEE 2008
3

Two stretched strings have lengths l and 2l while tensions are T and 4T respectively. If they are made of same material the ratio of their frequency is

WB JEE 2008
4

When sound is produced in an aeroplane with a velocity of 200 m/s horizontally its echo is heard after $$10\sqrt 5 $$ seconds. If velocity of sound in air is 300 ms$$-$$1 the elevation of aircraft is

WB JEE 2008
5

Two turning forks of frequencies n1 and n2 produces n beats per second. If n2 and n are known, n1 may be given by

WB JEE 2008
6

A car moving with a velocity of 36 km/hr crosses a siren of frequency 500 Hz. The apparent frequency of siren after passing it will be

WB JEE 2008
7

The equation of a stationary wave along a stretched string is given by $y=5 \sin \frac{\pi x}{3} \cos 40 \pi t$. Here $x$ and $y$ are in cm and $t$ in second. The separation between two adjacent nodes is

WB JEE 2025
8

Longitudinal waves cannot

WB JEE 2024
9

The displacement of a plane progressive wave in a medium, travelling towards positive x-axis with velocity 4 m/s at t = 0 is given by $$y = 3\sin 2\pi \left( { - {x \over 3}} \right)$$. Then the expression for the displacement at a later time t = 4 sec will be

WB JEE 2023
10
The velocity of sound in air at 20$$^\circ$$C and 1 atm pressure is 344.2 m/s. At 40$$^\circ$$C and 2 atm pressure, the velocity of sound in air is approximately
WB JEE 2016
11
For air at room temperature, the atmospheric pressure is 1.0 $$ \times $$ 105 Nm$$-$$2 and density of air is 1.2 kgm$$-$$3. For a tube of length 1.0 m, closed at one end, the lowest frequency generated is 84 Hz. The value of $$\gamma$$ (ratio of two specific heats) for air is
WB JEE 2016