1
JEE Main 2023 (Online) 10th April Evening Shift
+4
-1 For a periodic motion represented by the equation

$$y=\sin \omega \mathrm{t}+\cos \omega \mathrm{t}$$

the amplitude of the motion is

A
1
B
$$\sqrt2$$
C
0.5
D
2
2
JEE Main 2023 (Online) 8th April Morning Shift
+4
-1 The engine of a train moving with speed $$10 \mathrm{~ms}^{-1}$$ towards a platform sounds a whistle at frequency $$400 \mathrm{~Hz}$$. The frequency heard by a passenger inside the train is: (neglect air speed. Speed of sound in air $$=330 \mathrm{~ms}^{-1}$$ )

A
200 Hz
B
412 Hz
C
400 Hz
D
388 Hz
3
JEE Main 2023 (Online) 1st February Morning Shift
+4
-1 A steel wire with mass per unit length $$7.0 \times 10^{-3} \mathrm{~kg} \mathrm{~m}^{-1}$$ is under tension of $$70 \mathrm{~N}$$. The speed of transverse waves in the wire will be:

A
$$10 \mathrm{~m} / \mathrm{s}$$
B
$$50 \mathrm{~m} / \mathrm{s}$$
C
$$100 \mathrm{~m} / \mathrm{s}$$
D
$$200 \pi\mathrm{~m} / \mathrm{s}$$
4
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
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