1
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The path difference between two waves $\mathrm{Y}_1=\mathrm{a}_1 \sin \left(\omega \mathrm{t}-\frac{2 \pi \mathrm{x}}{\lambda}\right)$ and $\mathrm{Y}_2=\mathrm{a}_2 \cos \left(\omega \mathrm{t}-\frac{2 \pi \mathrm{x}}{\lambda}+\phi\right)$ is

A
$\frac{\lambda \phi}{2 \pi}$
B
$\frac{\lambda}{2 \pi}\left(\phi+\frac{\pi}{2}\right)$
C
$\frac{2 \pi}{\lambda}\left(\phi-\frac{\pi}{2}\right)$
D
$\frac{2 \pi}{\lambda} \phi$
2
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The fundamental frequency of an air column in a pipe open at both ends is ' $\mathrm{f}_1$ '. Now $80 \%$ of its length is immersed in water, the fundamental frequency of the air column becomes $f_2$. The ratio of $f_1: f_2$ is

A
$5: 2$
B
$4: 5$
C
$5: 4$
D
$2: 5$
3
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The pitch of a whistle of an engine appears to drop by $30 \%$ of original value when it passes a stationary observer. If the speed of sound in air is $350 \mathrm{~ms}^{-1}$, then the speed of engine in $\mathrm{ms}^{-1}$ is

A
840
B
700
C
175
D
150
4
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The displacement of a wave is given by $y=0.002 \sin (100 t+x)$ where ' $x$ 'and ' $y$ ' are in metre and ' $t$ ' is in second. This represents a wave

A
of wavelength one metre
B
travelling with a velocity of $100 \mathrm{~m} / \mathrm{s}$ in the negative $x$-direction
C
of frequency $\left(\frac{100}{\pi}\right) \mathrm{Hz}$
D
travelling with a velocity of $\left(\frac{50}{\pi}\right) \mathrm{m} / \mathrm{s}$ in the positive x -direction
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