Waves PYQs - Last 5 Years

A standing wave $y=A \sin \left(\frac{20}{3} \pi x\right) \cos (1000 \pi t)$ is maintained in a taught string, where $y$ and $x$ are in metres. The distance between two successive points oscillating with the amplitude $\frac{A}{2}$ across a...

The fundamental frequency of a closed organ pipe is same as the first overtone frequency of an open organ pipe. If the length of open organ pipe is 50 cm , then the length of closed organ pipe is

When a string is divided into four segments of \(l_1, l_2, l_3\) and \(l_4\). The fundamental frequencies of these three segments are \(v_1, v_2, v_3\) and \(v_4\), respectively. The original fundamental frequency \((v)\) of the string is

The wavelength of two waves are 40 and \(42 \mathrm{~cm}\) respectively. If the temperature of the room is \(20^{\circ} \mathrm{C}\) then what will be the number of beats produced per second by these waves. When the speed of sound at $$0^{\...

The fundamental frequency of an open organ pipe is \(600 \mathrm{~Hz}\). The first overtone of this pipe has same frequency as first overtone of a closed organ pipe. If speed of sound is \(330 \mathrm{~m} / \mathrm{s}\), then the length of ...

In the diagram shown below, both the strings AB and CD are made of same material and have same cross-section. The pulleys are light and fictionless. If the speed of wave in string AB is v1 and in CD is v2, then \({{{v_1}} \over {{v_2}}}\) i...

Transverse waves of the same frequency are generated in two steel wires A and B. The diameter of A is twice that of B and the tension in A is half that in B. The ratio of the velocities of the waves in A and B is

A submarine A travelling at 17 m/s is being chased along the line of its velocity by another submarine B travelling at 34 m/s. B sends a sonar signal of 600 Hz to detect A and receives a reflected sound of frequency \(\nu\). The of \(\nu\) ...

In a resonance coloum first and second resonance are obtained at depths 24 cm and 78 cm the third resonance will be obtained at depth.

Two cars approach a stationary observer from opposite sides as shown in the figure.

The observer hears no beats. If the frequency of the horn of the car B is 504 Hz, then the frequency of the horn of the car A will be

The equation of progressive wave is given by \(Y = \sin \left[ {x\left( {{t \over 5} - {x \over 9}} \right) + {\pi \over 6}} \right]\) cm. Which one of the following is correct?