1
MHT CET 2023 10th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The fundamental frequency of air column in pipe 'A' closed at one end is in unison with second overtone of an air column in pipe 'B' open at both ends. The ratio of length of air column in pipe '$$\mathrm{A}$$' to that of air column in pipe '$$\mathrm{B}$$' is

A
$$1: 6$$
B
$$3: 8$$
C
$$2: 3$$
D
$$3: 4$$
2
MHT CET 2023 10th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The equation of wave is $$Y=6 \sin$$ $$\left(12 \pi t-0.02 \pi x+\frac{\pi}{3}\right)$$ where '$$x$$' is in $$m$$ and '$$t$$' in $$\mathrm{s}$$. The velocity of the wave is

A
$$200 \mathrm{~m} / \mathrm{s}$$
B
$$300 \mathrm{~m} / \mathrm{s}$$
C
$$400 \mathrm{~m} / \mathrm{s}$$
D
$$600 \mathrm{~m} / \mathrm{s}$$
3
MHT CET 2023 10th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Two uniform wires of same material are vibrating under the same tension. If the first overtone of first wire is equal to the $$2^{\text {nd }}$$ overtone of $$2^{\text {nd }}$$ wire and radius of the first wire is twice the radius of the $$2^{\text {nd }}$$ wire then the ratio of length of first wire to $$2^{\text {nd }}$$ wire is

A
$$1: 3$$
B
$$3: 1$$
C
$$1: 9$$
D
$$9: 1$$
4
MHT CET 2023 10th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A uniform rope of length '$$L$$' and mass '$$m_1$$' hangs vertically from a rigid support. A block of mass '$$m_2$$' is attached to the free end of the rope. A transverse wave of wavelength '$$\lambda_1$$' is produced at the lower end of the rope. The wavelength of the wave when it reaches the top of the rope is '$$\lambda_2$$'. The ratio $$\frac{\lambda_1}{\lambda_2}$$ is

A
$$\left[\frac{m_2}{m_1+m_2}\right]^{\frac{1}{2}}$$
B
$$\left[\frac{m_1+m_2}{m_2}\right]^{\frac{1}{2}}$$
C
$$\left[\frac{\mathrm{m}_1}{\mathrm{~m}_1+\mathrm{m}_2}\right]^{\frac{1}{2}}$$
D
$$\left[\frac{\mathrm{m}_2}{\mathrm{~m}_1-\mathrm{m}_2}\right]^{\frac{1}{2}}$$
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