1
JEE Main 2023 (Online) 8th April Morning Shift
Numerical
+4
-1 An organ pipe $$40 \mathrm{~cm}$$ long is open at both ends. The speed of sound in air is $$360 \mathrm{~ms}^{-1}$$. The frequency of the second harmonic is ___________ $$\mathrm{Hz}$$.

2
JEE Main 2023 (Online) 6th April Morning Shift
Numerical
+4
-1 A person driving car at a constant speed of $$15 \mathrm{~m} / \mathrm{s}$$ is approaching a vertical wall. The person notices a change of $$40 \mathrm{~Hz}$$ in the frequency of his car's horn upon reflection from the wall. The frequency of horn is _______________ $$\mathrm{Hz}$$.

(Given: Speed of sound : $$330 \mathrm{~m} / \mathrm{s}$$ )

3
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 _______ $\mathrm{cm}$.
4
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.

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