1
JEE Main 2023 (Online) 31st January Evening Shift
Numerical
+4
-1
The displacement equations of two interfering waves are given by

$y_{1}=10 \sin \left(\omega t+\frac{\pi}{3}\right) \mathrm{cm}, y_{2}=5[\sin \omega t+\sqrt{3} \cos \omega t] \mathrm{cm}$ respectively.

The amplitude of the resultant wave is _______ $\mathrm{cm}$.
2
JEE Main 2023 (Online) 29th January Morning Shift
Numerical
+4
-1

Two simple harmonic waves having equal amplitudes of 8 cm and equal frequency of 10 Hz are moving along the same direction. The resultant amplitude is also 8 cm. The phase difference between the individual waves is _________ degree.

3
JEE Main 2023 (Online) 25th January Evening Shift
Numerical
+4
-1

A train blowing a whistle of frequency 320 Hz approaches an observer standing on the platform at a speed of 66 m/s. The frequency observed by the observer will be (given speed of sound = 330 ms$$^{-1}$$) __________ Hz.

4
JEE Main 2023 (Online) 25th January Morning Shift
Numerical
+4
-1

The distance between two consecutive points with phase difference of 60$$^\circ$$ in a wave of frequency 500 Hz is 6.0 m. The velocity with which wave is travelling is __________ km/s

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