1
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A string is stretched between two rigid supports separated by $$75 \mathrm{~cm}$$. There are no resonant frequencies between $$420 \mathrm{~Hz}$$ and $$315 \mathrm{~Hz}$$. The lowest resonant frequency for the string is

A
$$210 \mathrm{~Hz}$$
B
$$180 \mathrm{~Hz}$$
C
$$105 \mathrm{~Hz}$$
D
$$1050 \mathrm{~Hz}$$
2
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

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 $$90^{\circ}$$ ?

A
$$\frac{\pi}{4}$$
B
$$\frac{\pi}{8}$$
C
$$\frac{\pi}{16}$$
D
$$\frac{\pi}{32}$$
3
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

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 $$\left(\sin 30^{\circ}=0.5\right)$$

A
$$\frac{\pi}{3} \mathrm{~rad}$$
B
$$\frac{\pi}{2} \mathrm{~rad}$$
C
$$\frac{2 \pi}{5} \mathrm{~rad}$$
D
$$\frac{2 \pi}{3} \mathrm{~rad}$$
4
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

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

A
$$\frac{\mathrm{V}}{(l+0.3 \mathrm{r})}$$
B
$$\frac{\mathrm{V}}{(l+1.2 \mathrm{r})}$$
C
$$\frac{\mathrm{V}}{(l+0.6 \mathrm{r})}$$
D
$$\frac{\mathrm{V}}{2(l+1.2 \mathrm{r})}$$
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