1
MHT CET 2021 22th September Morning Shift
+1
-0

A transverse wave given by $$y=2 \sin (0.01 x+30 t)$$ moves on a stretched string from one end to another end in 0.5 second. If '$$x$$' and '$$y$$' are in $$\mathrm{cm}$$ and '$$\mathrm{t}$$' is in second, then the length of the string is

A
6 m
B
9 m
C
12 m
D
15 m
2
MHT CET 2021 22th September Morning Shift
+1
-0

A pipe open at both ends of length 1.5 m is dipped in water such that the second overtone of vibrating air column is resonating with a tuning fork of frequency 330 Hz. If speed of sound in air is 330 m/s then the length of the pipe immersed in water is (Neglect and correction)

A
0.35 m
B
0.25 m
C
0.55 m
D
0.45 m
3
MHT CET 2021 22th September Morning Shift
+1
-0

A sonometer wire resonates with a given tuning fork forming standing waves with five antinodes between the two bridges when a mass of $$9 \mathrm{~kg}$$ is suspended from the wire. When this mass is replaced by a mass $$\mathrm{M}$$, the wire resonates with the same tuning fork forming three antinodes for the same positions of the bridges. The value of '$$M$$' is

A
$$5 \mathrm{~kg}$$
B
$$12.5 \mathrm{~kg}$$
C
$$\frac{1}{25} \mathrm{~kg}$$
D
$$25 \mathrm{~kg}$$
4
MHT CET 2021 21th September Evening Shift
+1
-0

Equation of two simple harmonic waves are given by $${Y_1} = 2\sin 8\pi \left( {{t \over {0.2}} - {x \over 2}} \right)m$$ and $${Y_2} = 4\sin 8\pi \left( {{t \over {0.16}} - {x \over {1.6}}} \right)m$$ then both waves have

A
same period
B
same frequency
C
same wavelength
D
same velocity
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