1
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
2
MHT CET 2021 21th September Evening Shift
+1
-0

A pipe closed at one end has length $$0.8 \mathrm{~m}$$. At its open end $$0.5 \mathrm{~m}$$ long uniform string is vibrating in its $$2^{\text {nd }}$$ harmonic and it resonates with the fundamental frequency of the pipe. If the tension in the wire is $$50 \mathrm{~N}$$ and the speed of sound is $$320 \mathrm{~m} / \mathrm{s}$$, the mass of the string is

A
20 gram
B
10 gram
C
5 gram
D
15 gram
3
MHT CET 2021 21th September Evening Shift
+1
-0

The equation of simple harmonic wave produced in the string under tension $$0.4 \mathrm{~N}$$ is given by $$\mathrm{y=4 \sin (3 x+60 t) ~m}$$. The mass per unit length of the string is

A
$$10^{-3} \mathrm{~kg} \mathrm{~m}^{-1}$$
B
$$10^{-5} \mathrm{~kg} \mathrm{~m}^{-1}$$
C
$$10^{-3} \mathrm{~g} \mathrm{~cm}^{-1}$$
D
$$10^{-5} \mathrm{~g} \mathrm{~cm}^{-1}$$
4
MHT CET 2021 21th September Morning Shift
+1
-0

A closed organ pipe of length '$$\mathrm{L}_c$$' and an open organ pipe of length '$$\mathrm{L}_{\mathrm{o}}$$' contain different gases of densities '$$\rho_1$$' and '$$\rho_2$$' respectively. The compressibility of the gases is the same in both the pipes. The gases are vibrating in their first overtone with the same frequency. What is the length of open organ pipe?

A
$$\frac{4 L_c}{3} \sqrt{\frac{\rho}{\rho_2}}$$
B
$$\frac{3 \mathrm{~L}_{\mathrm{c}}}{4} \sqrt{\frac{\rho_2}{\rho_1}}$$
C
$$\frac{4 L_c}{3} \sqrt{\frac{\rho_2}{\rho_1}}$$
D
$$\frac{2 L_c}{3} \sqrt{\frac{\rho_2}{\rho}}$$
MHT CET Subjects
Physics
Mechanics
Optics
Electromagnetism
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
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Coordinate Geometry
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