JEE Main 2025 (Online) 4th April Evening Shift | Waves Question 5 | Physics

Displacement of a wave is expressed as $x(t)=5 \cos \left(628 t+\frac{\pi}{2}\right) \mathrm{m}$. The wavelength of the wave when its velocity is $300 \mathrm{~m} / \mathrm{s}$ is :

$$(\pi=3.14)$$

0.33 m

0.5 m

3 m

5 m

JEE Main 2025 (Online) 4th April Morning Shift

MCQ (Single Correct Answer)

-1

In an experiment with a closed organ pipe, it is filled with water by $\left(\frac{1}{5}\right)$ th of its volume. The frequency of the fundamental note will change by

$20 \%$

$25 \%$

$-20 \%$

$-25 \%$

JEE Main 2025 (Online) 3rd April Evening Shift

MCQ (Single Correct Answer)

-1

In the resonance experiment, two air columns (closed at one end) of 100 cm and 120 cm long, give 15 beats per second when each one is sounding in the respective fundamental modes. The velocity of sound in the air column is:

$370 \mathrm{~m} / \mathrm{s}$

$340 \mathrm{~m} / \mathrm{s}$

$335 \mathrm{~m} / \mathrm{s}$

$360 \mathrm{~m} / \mathrm{s}$

JEE Main 2025 (Online) 2nd April Evening Shift

MCQ (Single Correct Answer)

-1

A sinusoidal wave of wavelength 7.5 cm travels a distance of 1.2 cm along the $x$-direction in 0.3 sec . The crest P is at $x=0$ at $\mathrm{t}=0 \mathrm{sec}$ and maximum displacement of the wave is 2 cm . Which equation correctly represents this wave?

$y=2 \cos (0.83 x-3.35 t) \mathrm{cm}$

$y=2 \sin (0.83 x-3.5 \mathrm{t}) \mathrm{cm}$

$y=2 \cos (0.13 x-0.5 t) \mathrm{cm}$

$y=2 \cos (3.35 x-0.83 \mathrm{t}) \mathrm{cm}$

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