MHT CET 2023 14th May Morning Shift | Waves Question 6 | Physics

A progressive wave is given by, $$\mathrm{Y}=12 \sin (5 \mathrm{t}-4 \mathrm{x})$$. On this wave, how far away are the two points having a phase difference of $$90^{\circ}$$ ?

$$\frac{\pi}{4}$$

$$\frac{\pi}{8}$$

$$\frac{\pi}{16}$$

$$\frac{\pi}{32}$$

MHT CET 2023 14th May Morning Shift

MCQ (Single Correct Answer)

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The equation of the wave is $$\mathrm{Y}=10 \sin \left(\frac{2 \pi \mathrm{t}}{30}+\alpha\right)$$ If the displacement is $$5 \mathrm{~cm}$$ at $$\mathrm{t}=0$$ then the total phase at $$\mathrm{t}=7.5 \mathrm{~s}$$ will be $$\left(\sin 30^{\circ}=0.5\right)$$

$$\frac{\pi}{3} \mathrm{~rad}$$

$$\frac{\pi}{2} \mathrm{~rad}$$

$$\frac{2 \pi}{5} \mathrm{~rad}$$

$$\frac{2 \pi}{3} \mathrm{~rad}$$

MHT CET 2023 14th May Morning Shift

MCQ (Single Correct Answer)

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If '$$l$$' is the length of the open pipe, '$$r$$' is the internal radius of the pipe and '$V$ ' is the velocity of sound in air then fundamental frequency of open pipe is

$$\frac{\mathrm{V}}{(l+0.3 \mathrm{r})}$$

$$\frac{\mathrm{V}}{(l+1.2 \mathrm{r})}$$

$$\frac{\mathrm{V}}{(l+0.6 \mathrm{r})}$$

$$\frac{\mathrm{V}}{2(l+1.2 \mathrm{r})}$$

MHT CET 2023 13th May Evening Shift

MCQ (Single Correct Answer)

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When two tuning forks are sounded together, 5 beats per second are heard. One of the forks is in unison with $$0.97 \mathrm{~m}$$ length of sonometer wire and the other is in unison with $$0.96 \mathrm{~m}$$ length of the same wire. The frequencies of the two tuning forks are

$$383 \mathrm{~Hz}, 388 \mathrm{~Hz}$$

$$475 \mathrm{~Hz}, 480 \mathrm{~Hz}$$

$$388 \mathrm{~Hz}, 39 z \mathrm{~Hz}$$

$$480 \mathrm{~Hz}, 485 \mathrm{~Hz}$$

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