1
JEE Main 2023 (Online) 29th January Morning Shift
+4
-1

A person observes two moving trains, 'A' reaching the station and 'B' leaving the station with equal speed of $$30 \mathrm{~m} / \mathrm{s}$$. If both trains emit sounds with frequency $$300 \mathrm{~Hz}$$, (Speed of sound: $$330 \mathrm{~m} / \mathrm{s}$$) approximate difference of frequencies heard by the person will be:

A
10 Hz
B
55 Hz
C
80 Hz
D
33 Hz
2
JEE Main 2023 (Online) 24th January Morning Shift
+4
-1

A travelling wave is described by the equation

$$y(x,t) = [0.05\sin (8x - 4t)]$$ m

The velocity of the wave is : [all the quantities are in SI unit]

A
$$\mathrm{4~ms^{-1}}$$
B
$$\mathrm{2~ms^{-1}}$$
C
$$\mathrm{8~ms^{-1}}$$
D
$$\mathrm{0.5~ms^{-1}}$$
3
JEE Main 2022 (Online) 28th July Morning Shift
+4
-1

In the wave equation

$$y=0.5 \sin \frac{2 \pi}{\lambda}(400 \mathrm{t}-x) \,\mathrm{m}$$

the velocity of the wave will be:

A
200 m/s
B
200$$\sqrt2$$ m/s
C
400 m/s
D
400$$\sqrt2$$ m/s
4
JEE Main 2022 (Online) 26th July Evening Shift
+4
-1

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 :

A
4$$\pi$$
B
2$$\pi$$
C
$$\pi$$
D
2
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