MHT CET 2023 10th May Evening Shift | Waves Question 103 | Physics

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

$$\left[\frac{m_2}{m_1+m_2}\right]^{\frac{1}{2}}$$

$$\left[\frac{m_1+m_2}{m_2}\right]^{\frac{1}{2}}$$

$$\left[\frac{\mathrm{m}_1}{\mathrm{~m}_1+\mathrm{m}_2}\right]^{\frac{1}{2}}$$

$$\left[\frac{\mathrm{m}_2}{\mathrm{~m}_1-\mathrm{m}_2}\right]^{\frac{1}{2}}$$

MHT CET 2023 10th May Morning Shift

MCQ (Single Correct Answer)

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An open organ pipe having fundamental frequency (n) is in unison with a vibrating string. If the tube is dipped in water so that $$75 \%$$ of the length of the tube is inside the water then the ratio of fundamental frequency of the air column of dipped tube with that of string will be (Neglect end corrections)

$$1: 1$$

$$2: 1$$

$$2: 3$$

$$3: 2$$

MHT CET 2023 10th May Morning Shift

MCQ (Single Correct Answer)

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In case of a stationary wave pattern which of the following statement is CORRECT?

The distance between the consecutive nodes is equal to the wavelength.

In a pipe at both ends only even harmonics are present in an air column.

In a pipe closed at one end, all harmonics are present in an air column.

In case of a stretched string when vibrated, frequency of first overtone is same as second harmonic.

MHT CET 2023 10th May Morning Shift

MCQ (Single Correct Answer)

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If the length of stretched string is reduced by $$40 \%$$ and tension is increased by $$44 \%$$ then the ratio of final to initial frequencies of stretched string is

$$2: 1$$

$$3: 2$$

$$3: 4$$

$$1: 3$$

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