MHT CET 2024 9th May Evening Shift | Waves Question 35 | Physics

A musical instrument ' $P$ ' produces sound waves of frequency ' $n$ ' and amplitude ' $A$ '. Another musical instrument ' $Q$ ' produces sound waves of frequency $\frac{\mathrm{n}}{4}$. The waves produced by ' $P$ ' and ' $Q$ ' have equal energies. If the amplitude of waves produced by ' $P$ ' is ' $A_P$ ', the amplitude of waves produced by ' $Q$ ' will be

$2 \mathrm{~A}_{\mathrm{P}}$

$4 \mathrm{~A}_{\mathrm{P}}$

$6 \mathrm{~A}_{\mathrm{p}}$

$9 \mathrm{~A}_{\mathrm{P}}$

MHT CET 2024 9th May Evening Shift

MCQ (Single Correct Answer)

-0

A sonometer wire is in unison with a tuning fork of frequency ' $n$ ' when it is stretched by a weight of specific gravity ' $d$ '. When the weight is completely immersed in water, ' $x$ ' beats are produced per second, then

$\frac{\mathrm{n}}{\mathrm{n}-\mathrm{x}}=\frac{\mathrm{d}}{\mathrm{d}-1}$

$\frac{n}{n-x}=\sqrt{\frac{d}{d-1}}$

$\frac{\mathrm{n}-\mathrm{x}}{\mathrm{n}}=\frac{\mathrm{d}-1}{\mathrm{~d}}$

$\frac{\mathrm{n}-\mathrm{x}}{\mathrm{n}}=\sqrt{\frac{\mathrm{d}}{\mathrm{d}-1}}$

MHT CET 2024 9th May Evening Shift

MCQ (Single Correct Answer)

-0

The equations of two waves are given as

$$\begin{aligned} & y_1=a \sin \left(\omega t+\phi_1\right) \\ & y_2=a \sin \left(\omega t+\phi_2\right) \end{aligned}$$

If amplitude and time period of resultant wave is same as the individual waves, then $\left(\phi_1-\phi_2\right)$ is

$\cos ^{-1}\left(\frac{-1}{2}\right)$

$\cos ^{-1}\left(\frac{-1}{4}\right)$

$\cos ^{-1}\left(-\frac{1}{6}\right)$

$\cos ^{-1}\left(-\frac{1}{8}\right)$

MHT CET 2024 9th May Morning Shift

MCQ (Single Correct Answer)

-0

Two sound waves having same amplitude ' $A$ ' and angular frequency ' $\omega$ ' but having a phase difference of $\left(\frac{\pi}{2}\right)^c$ are superimposed then the maximum amplitude of the resultant wave is

$\frac{\mathrm{A}}{\sqrt{2}}$

$\frac{\mathrm{A}}{2}$

$\sqrt{2} \mathrm{~A}$

$\mathrm{2 A}$

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