JEE Main 2022 (Online) 26th July Evening Shift | Waves Question 51 | Physics

A transverse wave is represented by $$y=2 \sin (\omega t-k x)\, \mathrm{cm}$$. The value of wavelength (in $$\mathrm{cm}$$) for which the wave velocity becomes equal to the maximum particle velocity, will be :

4$$\pi$$

2$$\pi$$

$$\pi$$

JEE Main 2022 (Online) 30th June Morning Shift

MCQ (Single Correct Answer)

-1

Which of the following equations correctly represents a travelling wave having wavelength $$\lambda$$ = 4.0 cm, frequency v = 100 Hz and travelling in positive x-axis direction?

$$y = A\sin [(0.50\,\pi \,c{m^{ - 1}})x - (100\,\pi \,{s^{ - 1}})t]$$

$$y = A\sin \,\,2\pi [(0.25\,\,c{m^{ - 1}})x - (50\,{s^{ - 1}})t]$$

$$y = A\sin \left[ {\left( {{{2\pi } \over 4}\,c{m^{ - 1}}} \right)x - \left( {{{2\pi } \over {100}}\,{s^{ - 1}}} \right)t} \right]$$

$$y = A\sin \,\pi [(0.5\,\,c{m^{ - 1}})x - (200\,\,{s^{ - 1}})t]$$

JEE Main 2022 (Online) 29th June Morning Shift

MCQ (Single Correct Answer)

-1

A longitudinal wave is represented by $$x = 10\sin 2\pi \left( {nt - {x \over \lambda }} \right)$$ cm. The maximum particle velocity will be four times the wave velocity if the determined value of wavelength is equal to :

2$$\pi$$

5$$\pi$$

$$\pi$$

$${{5\pi } \over 2}$$

JEE Main 2022 (Online) 28th June Morning Shift

MCQ (Single Correct Answer)

-1

The velocity of sound in a gas, in which two wavelengths 4.08 m and 4.16 m produce 40 beats in 12s, will be :

282.8 ms^$$-$$1

175.5 ms^$$-$$1

353.6 ms^$$-$$1

707.2 ms^$$-$$1