Recommended MCQs - 119 Questions Waves Physics NEET Practice Questions, MCQs, Past Year Questions (PYQs), NCERT Questions, Question Bank, Class 11 and Class 12 Questions, and PDF solved with answers

1.	Both light and sound waves in the air are transverse.
2.	The sound waves in the air are longitudinal while the light waves are transverse.
3.	Both light and sound waves in the air are longitudinal.
4.	Both light and sound waves can travel in a vacuum.

Q1:

82% From NCERT AIPMT - 2006

Subtopic: Types of Waves |

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The displacement of a particle is given by $y = 5\times 10^{-4}\sin\left(100t-50x\right),$ where $x$ is in metres and $t$ is in seconds. The velocity of the wave is:
1. $5000~\text{m/s}$
2. $2~\text{m/s}$
3. $0.5~\text{m/s}$
4. $300~\text{m/s}$

Q2:

90% From NCERT

Subtopic: Wave Motion |

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If a wave is travelling in a positive $x\text-$direction with $A= 0.2~\text{m},$ $v=360~\text{m/s},$ and $\lambda= 60~\text{m},$ then the correct expression for the wave will be:

1.	${y}=0.2 \sin \left[2 \pi\left(6{t}+\frac{x}{60}\right)\right]$
2.	${y}=0.2 \sin \left[ \pi\left(6{t}+\frac{x}{60}\right)\right]$
3.	${y}=0.2 \sin \left[2 \pi\left(6{t}-\frac{x}{60}\right)\right]$
4.	$y=0.2 \sin \left[ \pi\left(6{t}-\frac{x}{60}\right)\right]$

Q3:

87% From NCERT AIPMT - 2002

Subtopic: Wave Motion |

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A wave traveling in the +ve $x\text-$direction having maximum displacement along $y\text-$direction as $1~\text{m}$, wavelength $2\pi~\text{m}$ and frequency of $\frac{1}{\pi}~\text{Hz}$, is represented by:

1.	$y=\sin (2 \pi x-2 \pi t)$	2.	$y=\sin (10 \pi x-20 \pi t)$
3.	$y=\sin (2 \pi x+2 \pi t)$	4.	$ y=\sin (x-2 t)$

Q4:

88% From NCERT AIPMT - 2013

Subtopic: Wave Motion |

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The equation $y(x,t) = 0.005 \cos (\alpha x- \beta t)$ describes a wave traveling along the $x\text-$axis. If the wavelength and the time period of the wave are $0.08~\text{m}$ and $2.0~\text{s}$, respectively, then $\alpha$ and $\beta$ in appropriate units are:
1. $\alpha = 25.00\pi, \beta = \pi$
2. $\alpha = \frac{0.08}{\pi}, \beta = \frac{2.0}{\pi}$
3. $\alpha = \frac{0.04}{\pi}, \beta = \frac{1.0}{\pi}$
4. $\alpha = 12.50\pi, \beta = \frac{\pi}{2.0}$

Q5:

87% From NCERT

Subtopic: Wave Motion |

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The equation of a progressive wave is given by $y = 4\sin\left\{ \pi\left(\frac{t}{5}-\frac{x}{9}\right)+\frac{\pi}{6}\right\}$, where $x$ and $y$ are in metres and $t$ in seconds.
Which of the following is correct?
1. $v = 5~\text{m/s}$
2. $\lambda = 18~\text{m}$
3. $A = 0.04~\text{m}$
4. $\nu= 50~\text{Hz}$

Q6:

86% From NCERT

Subtopic: Wave Motion |

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If a travelling wave pulse is given by $y=\frac{20}{4+(x+4 t)^2}~\text{m}$, then:

1.	the pulse is traveling along the negative $x\text-$axis.
2.	the speed of the pulse is $4$ m/s.
3.	the amplitude of the pulse is $5$ m.
4.	all of these.

Q7:

85% From NCERT

Subtopic: Wave Motion |

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A transverse wave is represented by y = Asin(ωt -kx). At what value of the wavelength is the wave velocity equal to the maximum particle velocity?

1. $π$ A/2

2. $π$ A

3. 2 $π$ A

4. A

Q8:

85% From NCERT AIPMT - 2010

Subtopic: Wave Motion |

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Given the equation for a wave on the string, $y = 0.5\sin(5x-3t)$ where $y$ and $x$ are in metres and $t$ in seconds, the ratio of the maximum speed of particle to the speed of wave is:

1.	$1:1$	2.	$5:2$
3.	$3:2$	4.	$4:5$

Q9:

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Subtopic: Wave Motion |

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The wave described by $y = 0.25\sin(10\pi x-2\pi t),$ where $x$ and $y$ are in metres and $t$ in seconds, is a wave traveling along the:

1.	$-\text{ve}~x$ direction with frequency $1$ Hz.
2.	$+\text{ve}~x$ direction with frequency $\pi$ Hz and wavelength $\lambda = 0.2~\text{m}$.
3.	$+\text{ve}~x$ direction with frequency $1$ Hz and wavelength $\lambda = 0.2~\text{m}$.
4.	$-\text{ve}~x$ direction with amplitude $0.25$ m and wavelength $\lambda = 0.2~\text{m}$.

Q10:

85% From NCERT NEET - 2008

Subtopic: Wave Motion |

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1.	\({y}=0.2 \sin \left[2 \pi\left(6{t}+\frac{x}{60}\right)\right]\)
2.	\({y}=0.2 \sin \left[ \pi\left(6{t}+\frac{x}{60}\right)\right]\)
3.	\({y}=0.2 \sin \left[2 \pi\left(6{t}-\frac{x}{60}\right)\right]\)
4.	\(y=0.2 \sin \left[ \pi\left(6{t}-\frac{x}{60}\right)\right]\)

1.	\(y=\sin (2 \pi x-2 \pi t)\)	2.	\(y=\sin (10 \pi x-20 \pi t)\)
3.	\(y=\sin (2 \pi x+2 \pi t)\)	4.	\( y=\sin (x-2 t)\)

1.	the pulse is traveling along the negative \(x\text-\)axis.
2.	the speed of the pulse is \(4\) m/s.
3.	the amplitude of the pulse is \(5\) m.
4.	all of these.

1.	\(-\text{ve}~x\) direction with frequency \(1\) Hz.
2.	\(+\text{ve}~x\) direction with frequency \(\pi\) Hz and wavelength \(\lambda = 0.2~\text{m}\).
3.	\(+\text{ve}~x\) direction with frequency \(1\) Hz and wavelength \(\lambda = 0.2~\text{m}\).
4.	\(-\text{ve}~x\) direction with amplitude \(0.25\) m and wavelength \(\lambda = 0.2~\text{m}\).

1.	\(1:1\)	2.	\(5:2\)
3.	\(3:2\)	4.	\(4:5\)