Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT2012PhysicsWaves and SoundActual

The transverse displacement y(x, t) of a wave on a string is given by y(x, t)=e^ - (a x²+b t²+2 a b . xt ) This represents a

Options

  1. Awave moving in -x direction, speed b a
  2. Bstanding wave of frequency b
  3. Cstanding wave of frequency 1 b
  4. Dwave moving in +x direction, speed a b

Correct answer

A. wave moving in -x direction, speed b a

Step-by-step solution

y(x, t)=e^ - (a x²+b t²+2 a b x t ) =e^ -( a x + b t )² It is a function of type y=f( t+k x) y(x, t) represents wave travelling along -x direction. Speed of wave = k = b a = b a

Practice Waves and Sound on Quantrex Academy →

More from Waves and Sound

The speed of sound in oxygen at S.T.P. will be approximately: (Given, . R =8.3 JK ⁻¹, =1.4 ) 2024A plane progressive wave is given by y=2 2 (330 t-x) m . The frequency of the wave is: 2024The engine of a train moving with speed 10 ~ms ⁻¹ towards a platform sounds a whistle at frequency 400 ~Hz . The frequency heard by a passenger inside the train is (neglect air spe 2023The ratio of speed of sound in hydrogen gas to the speed of sound in oxygen gas at the same temperature is: 2023A 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 2022Transverse 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 vel 2022A direct current of 6 ~A is superimposed on an alternating current I=10 t flowing through a wire. The effective value of the resulting current will be 2022The frequency of whistle of an engine appears to be (4 / 5)^ th of initial frequency when it crosses a stationary observer. If the velocity of sound is 330 ~m / s , then the speed 2021 Full Waves and Sound list All BITSAT PYQs