Physics · 2017
JEE Main · 9 April 2017, Shift 1 · Q13
A standing wave is formed by the superposition of two waves travelling in opposite directions. The transverse displacement is given by y(x, t )=0.5…
A standing wave is formed by the superposition of two waves travelling in opposite directions. The transverse displacement is given by
$$y(x, \mathrm{t})=0.5 \sin \left(\frac{5 \pi}{4} x\right) \cos (200 \pi \mathrm{t}) .
$$
What is the speed of the travelling wave moving in the positive $\displaystyle x$ direction ?
( $\displaystyle x$ and t are in meter and second, respectively.)
Official answer
(1)
$\displaystyle 160$ m/s
More from Waves
- Two loudspeakers ( L_1 and L_2 ) are placed with a separation of 10 m, as shown in figure. Both speakers are fed with an audio input signal of same…2026
- A travelling wave is described by the equation y(x, t)=[0.05 sin (8 x-4 t)] m The velocity of the wave is: [all the quantities are in SI unit]2023
- The equation of a wave travelling on a string is y= sin [20 π x+10 π t], where x and t are distance and time in SI units. The minimum distance…2025
- A string 2.0 m long and fixed at its ends is driven by a 240 Hz vibrator. The string vibrates in its third harmonic mode. The speed of the wave and…2019
- A tuning fork is vibrating at 250 Hz. The length of the shortest closed organ pipe that will resonate with the tuning fork will be \ \ \ \ cm. (Take…2021
- A string is clamped at both the ends and it is vibrating in its 4^th harmonic. The equation of the stationary wave is Y=0.3 sin (0.157 x) cos (200 π…2019
- In an experiment with sonometer when a mass of 180 g is attached to the string, it vibrates with fundamental frequency of 30 Hz. When a mass m is…2023
- A source and a detector move away from each other in absence of wind with a speed of 20 m/s with respect to the ground. If the detector detects a…2021
JEE Main 2017 Physics question, with the answer from NTA’s final answer key. Where our answers come from.