1
MHT CET 2023 9th May Morning Shift
+1
-0

When a string of length '$$l$$' is divided into three segments of length $$l_1, l_2$$ and $$l_3$$. The fundamental frequencies of three segments are $$\mathrm{n}_1, \mathrm{n}_2$$ and $$\mathrm{n}_3$$ respectively. The original fundamental frequency '$$n$$' of the string is

A
$$\mathrm{n}=\mathrm{n}_1+\mathrm{n}_2+\mathrm{n}_3$$
B
$$\sqrt{\mathrm{n}}=\sqrt{\mathrm{n}_1}+\sqrt{\mathrm{n}_2}+\sqrt{\mathrm{n}_3}$$
C
$$\frac{1}{\mathrm{n}}=\frac{1}{\mathrm{n}_1}+\frac{1}{\mathrm{n}_2}+\frac{1}{\mathrm{n}_3}$$
D
$$\frac{1}{\sqrt{\mathrm{n}}}=\frac{1}{\sqrt{\mathrm{n}_1}}+\frac{1}{\sqrt{\mathrm{n}_2}}+\frac{1}{\sqrt{\mathrm{n}_3}}$$
2
MHT CET 2023 9th May Morning Shift
+1
-0

A closed organ pipe of length '$$L_1$$' and an open organ pipe contain diatomic gases of densities '$$\rho_1$$' and '$$\rho_2$$' respectively. The compressibilities of the gases are same in both pipes, which are vibrating in their first overtone with same frequency. The length of the open organ pipe is (Neglect end correction)

A
$$\frac{4 \mathrm{~L}_1}{3}$$
B
$$\frac{4 L_1}{3} \sqrt{\frac{\rho_1}{\rho_2}}$$
C
$$\frac{4 L_1}{3} \sqrt{\frac{\rho_2}{\rho_1}}$$
D
$$\frac{3}{4 L_1} \sqrt{\frac{\rho_1}{\rho_2}}$$
3
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
4
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
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Mechanics
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Electromagnetism
Modern Physics
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