Waves · Physics · MHT CET (Biology)

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MCQ (Single Correct Answer)

1

The loudness and pitch of sound note respectively depend upon

MHT CET (PCB) 2025 9th April Evening Shift
2

A uniform metal wire has length ' $L$ ', mass ' $M$ ' and area of cross-section ' A '. It is under tension ' $T$ ' and ' $V$ ' is the speed of transverse wave along the wire. The density of the wire is

MHT CET (PCB) 2025 9th April Evening Shift
3

A transverse wave is moving along a string. The linear density of a vibrating string is $2 \times 10^{-3} \mathrm{~kg} / \mathrm{m}$. The wave equation is $y=0.02 \sin (2 x+10 t) m$. The tension in the string is

MHT CET (PCB) 2025 9th April Evening Shift
4

An open organ pipe and a closed organ pipe have the frequency of their second overtone identical. The ratio of length of closed pipe to that of open pipe is (Neglect end correction)

MHT CET (PCB) 2025 9th April Evening Shift
5

A wave is travelling in the negative x direction having displacement 3 cm along Y direction, wavelength $2 \pi \mathrm{~m}$ and frequency $\left(\frac{1}{2 \pi}\right) \mathrm{Hz}$ is represented as ( $t=$ time)

MHT CET (PCB) 2025 9th April Morning Shift
6

A passenger is sitting in a train which is moving fast. The engine blows a whistle of frequency ' n '. If the apparent frequency of sound heard by the passenger is $n^1$ then

MHT CET (PCB) 2025 9th April Morning Shift
7

Two points on a travelling wave having frequency 500 Hz and velocity $300 \mathrm{~m} / \mathrm{s}$ are $30^{\circ}$ out of phase, then the minimum distance between the two points is

MHT CET (PCB) 2025 9th April Morning Shift
8

A simple harmonic progressive wave is given by $y=A \sin 2 \pi\left(n t-\frac{x}{\lambda}\right)$. If the wave velocity is equal to $=\frac{1}{3}$ (maximum particle velocity) then the wavelength $\lambda$ is given by

MHT CET (PCB) 2025 9th April Morning Shift
9

The third overtone of a closed pipe of length ' $\mathrm{L}_{\mathrm{c}}$ ' has the same frequency as the third overtone of an open pipe of length ' $L_0$ '. The ratio ' $\mathrm{L}_{\mathrm{c}}$ ': ' $\mathrm{L}_0$ ' is equal to (Neglecting end correction)

MHT CET (PCB) 2024 22th April Evening Shift
10

Two sounding sources send waves at certain temperature in air of wavelength 60 cm and 60.6 cm respectively. The frequency of sources differ by 5 Hz . The velocity of sound in air at same temperature is

MHT CET (PCB) 2024 22th April Evening Shift
11

A simple harmonic progressive wave is given by equation $y=\operatorname{asin} 2 \pi\left(n t-\frac{x}{\lambda}\right)$. If the wave velocity is equal to $\frac{1}{4} \times$ (maximum particle velocity), then the wavelength ' $\lambda$ ' is (Given $\rightarrow \mathrm{a}=$ amplitude, $\mathrm{n}=$ frequency, $\mathrm{t}=$ time, $\mathrm{y}=$ displacement, $\mathrm{x}=$ distance )

MHT CET (PCB) 2024 22th April Evening Shift
12

Three tuning forks $\mathrm{A}, \mathrm{B}$ and C have respective frequencies $\mathrm{n}_1, \mathrm{n}_2$ and $\mathrm{n}_3$ related as $\mathrm{n}_1=1.03 \mathrm{n}_2$ and $n_3=0.99 n_2$. When $A$ and $C$ are sounded together 4 beats are heard per second. The frequencies of fork B and C are respectively

MHT CET (PCB) 2024 22th April Evening Shift
13

A pipe closed at one end vibrating in fifth overtone is in unison with open pipe vibrating in its fifth overtone. The ratio of $l_{\mathrm{c}}: l_{\mathrm{o}}$ is $\left[l_{\mathrm{c}}=\right.$ vibrating length of closed pipe, $l_0=$ vibrating length of open pipe]

MHT CET (PCB) 2024 22th April Morning Shift
14

Two uniform strings ' $A$ ' and ' $B$ ' made of steel are made to vibrate under same tension. If the first overtone of ' $A$ ' is equal to second overtone of ' B ' and radius of ' A ' is twice that of ' B '. Then the ratio of length of string ' $A$ ' to that of ' $B$ ' is

MHT CET (PCB) 2024 22th April Morning Shift
15

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

MHT CET (PCB) 2024 22th April Morning Shift
16

The equation of simple harmonic progressive wave is given by $y=A \sin (100 \pi t-4 x)$. The distance between two particles having a phase difference of $\left(\frac{\pi}{4}\right)^c$ is

MHT CET (PCB) 2024 22th April Morning Shift