1
MHT CET 2021 20th September Evening Shift
+1
-0

An air column in a pipe, which is closed at one end will be in resonance with a vibrating tuning fork of frequency 264 Hz for various lengths. Which one of the following lengths is not possible? (V = 330 m/s)

A
62.50 cm
B
93.75 cm
C
156.25 cm
D
31.25 cm
2
MHT CET 2021 20th September Evening Shift
+1
-0

Beats are produced by waves $$\mathrm{y_1=a\sin2000\pi t}$$ and $$\mathrm{y_2=a\sin2008\pi t}$$. The number of beats heard per second is

A
4
B
1
C
zero
D
8
3
MHT CET 2021 20th September Morning Shift
+1
-0

The frequencies of three tuning forks $$\mathrm{A}, \mathrm{B}$$ and $$\mathrm{C}$$ are related as $$\mathrm{n}_{\mathrm{A}}>\mathrm{n}_{\mathrm{B}}>\mathrm{n}_{\mathrm{C}}$$. When the forks $$\mathrm{A}$$ and $$\mathrm{B}$$ are sounded together, the number of beats produced per second is '$$n_1$$'. When forks $$\mathrm{A}$$ and $$\mathrm{C}$$ are sounded together the number of beats produced per second is '$$n_2$$'. How may beats are produced per second when forks $$\mathrm{B}$$ and $$\mathrm{C}$$ are sounded together?

A
$$\mathrm{n}_1-\mathrm{n}_2$$
B
$$\frac{\mathrm{n}_1+\mathrm{n}_2}{2}$$
C
$$\mathrm{n}_2-\mathrm{n}_1$$
D
$$n_1+n_2$$
4
MHT CET 2021 20th September Morning Shift
+1
-0

The equation of wave is given by $$\mathrm{y}=10 \sin \left(\frac{2 \pi \mathrm{t}}{30}+\alpha\right)$$. If the displacement is $$5 \mathrm{~cm}$$ at $$\mathrm{t}=0$$, then the total phase at $$\mathrm{t}=7.5 \mathrm{~s}$$ will be

$$\left[\sin 30^{\circ}=\cos 60^{\circ}=\frac{1}{2}, \cos 30^{\circ}=\sin 60^{\circ}=\frac{\sqrt{3}}{2}\right]$$

A
$$\frac{\pi}{3} \mathrm{rad}$$
B
$$\frac{\pi}{2} \mathrm{rad}$$
C
$$\frac{2 \pi}{5} \mathrm{rad}$$
D
$$\frac{2 \pi}{3} \mathrm{rad}$$
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Physics
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