Wave Motion & Waves on String: JEE Main Physics Previous Year Questions

141 previous year questions from Wave Motion & Waves on String. Here are the 25 most important ones; open any question for the correct answer and a full step-by-step solution.

1. 1.The equation of the progressive wave is $Y=3\text{sin}\text{⁡}(\pi (\frac{t}{3}-\frac{x}{5})+\frac{\pi }{4})$ where $x$ and $Y$ are in metre and time in second. Which…
2. 2.A heavy ball of mass $M$ is suspended from the ceiling of a car by a light string of mass $m$ ( $m\text{≪}$ M). When the car is at rest, the speed of transverse waves…
3. 3.A transverse wave is represented by y=2sin$(\text{ωt}-\text{kx})$cm. The value of wavelength (in cm) for which the wave velocity becomes equal to the maximum particle ve…
4. 4.The fundamental frequency of vibration of a string between two rigid support is 50 Hz. The mass of the string is 18 g and its linear mass density is 20 g $m^{-1}$. The sp…
5. 5.Two harmonic waves moving in the same direction superimpose to form a wave $x=\text{acos}\text{⁡}\text{(}1.5t\text{)}\text{cos}\text{⁡}\text{(}50.5t\text{)}$ where t is…
6. 6.The amplitude of wave disturbance propagating in the positive x-direction is given by $y=\frac{1}{1+x^2}$ at time t=0 and $y=\frac{1}{1+(x-2{)}^2}$ at t=1s, where x and…
7. 7.The equation of a stationary wave is $y=2\text{sin}\text{⁡}\left(\frac{\text{πx}}{15}\right)\text{cos}\text{⁡}\text{(}48\text{πt}\text{)}$. The distance between a node a…
8. 8.The maximum particle velocity in a wave motion is half the wave velocity. Then the amplitude of the wave is equal to
9. 9.A transverse wave is represented by $y=A\text{sin}\text{(}\text{ωt}-\text{kx}\text{)}$ . For what value of the wavelength is the wave velocity equal to the maximum parti…
10. 10.A point performs simple harmonic oscillation of period $T$ and the equation of motion is given by $=a\text{sin}\text{(}\text{ωt}+\pi /6\text{)}$ . After the elapse of w…
11. 11.In a sinusoidal wave, the time required for a particular point to move from maximum displacement to zero displacement is 0.170 $s.$ The frequency of wave is
12. 12.A wire having a linear mass density $9.0\times 10^{-4}\text{kg}/m$ is stretched between two rigid supports with a tension of 900N. The wire resonates at a frequency of…
13. 13.The equation of a wave is given by $y=10\text{sin}\text{⁡}(\frac{2\pi }{45}t+\alpha )$. If the displacement is $5\text{cm}$ at $t=0$, then the total phase at…
14. 14.Two periodic waves of intensities $I_1$ and $I_2$ pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities i…
15. 15.A uniform wire of length $L$, diameter $D$ and density $\rho$ is stretched under a tension $T$. The correct relation between its fundamental frequency ' $f$ ', the…
16. 16.Statement - 1: Two longitudinal waves given by equations: $y_1$ (x, t) = 2a sin (ꞷt – kx) and $y_2$ (x, t) = a sin (2ꞷt – 2kx) will have equal intensity. Statement -…
17. 17.Two identical piano wires, kept under the same tension $T$ have a fundamental frequency of 600 Hz. The fractional increase in the tension ofone ofthe wires which will le…
18. 18.A string of length $1m$ and mass $5g$ is fixed at both ends. The tension in the string is $8.0N$The string is set into vibration using an external vibrator of frequenc…
19. 19.Speed of a transverse wave on a straight wire (mass $6g$, length $60\text{cm}$ and area of cross-section $1.0m{m}^2$) is $90m{s}^{-1}$. If the Youngs modules of wir…
20. 20.A uniform rope of length $L$ and mass $m_1$ hangs vertically from a rigid support. A block of mass $m_2$ is attached to the free end of the rope. A transverse…
21. 21.$y=3\text{sin}\text{⁡}\pi (\frac{t}{2}-\frac{x}{4})$ represents an equation of a progressive wave, where $t$ is in second and $x$ is in metre. The distance travelled b…
22. 22.A metallic wire of $1m$ length has a mass of $10\times {10}^{-3}\text{kg}$. If a tension of $100N$ is applied to a wire, what is the speed of tran…
23. 23.Two waves are represented by the equations $y_1$ = a sin(ꞷt + kx + 0.57)m and $y_2$ = a cos(ꞷt + kx)m, where x is in meter and t in sec. The phase difference between…
24. 24.Two strings $A$ and $B$ of same material are stretched by same tension. The radius of the string $A$ is double the radius of string $B$. Transverse wave travels on st…
25. 25.A travelling wave is described by the equation y(x, t) = [0.05 sin (8x - 4t] m The velocity of the wave is: [all the quantities are in SI unit]