Which one of the following statements is true?

 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.
Subtopic:  Types of Waves |
81%
From NCERT
AIPMT - 2006
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The displacement of a particle is given by $y=5×{10}^{-4}\mathrm{sin}\left(100t-50x\right)$, where x is in metres and t is in seconds. The velocity of the wave is:

1. 5000 m/sec

2. 2 m/sec

3. 0.5 m/sec

4. 300 m/sec

Subtopic:  Wave Motion |
89%
From NCERT
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If a wave is travelling in a positive X-direction with A = 0.2 m, velocity = 360 m/s, and λ = 60 m, then the correct expression for the wave will be:

 1 $$\mathrm{y}=0.2 \sin \left[2 \pi\left(6 \mathrm{t}+\frac{\mathrm{x}}{60}\right)\right]$$ 2 $$\mathrm{y}=0.2 \sin \left[ \pi\left(6 \mathrm{t}+\frac{\mathrm{x}}{60}\right)\right]$$ 3 $$\mathrm{y}=0.2 \sin \left[2 \pi\left(6 \mathrm{t}-\frac{\mathrm{x}}{60}\right)\right]$$ 4 $$\mathrm{y}=0.2 \sin \left[ \pi\left(6 \mathrm{t}-\frac{\mathrm{x}}{60}\right)\right]$$
Subtopic:  Wave Motion |
85%
From NCERT
AIPMT - 2002
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A wave traveling in the +ve $$x$$-direction having maximum displacement along $$y$$-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. $$y=\sin (x-2 t)$$

Subtopic:  Wave Motion |
86%
From NCERT
AIPMT - 2013
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The equation $$y(x,t) = 0.005 ~cos (\alpha x- \beta t)$$ describes a wave traveling along the x-axis. If the wavelength and the time period of the wave are 0.08 m and 2.0 s, respectively, then $\mathrm{\alpha }$ and $\mathrm{\beta }$ in appropriate units are:

1. $\mathrm{\alpha }=25.00$ $\mathrm{\pi },$ $\mathrm{\beta }=\mathrm{\pi }$

2. $\mathrm{\alpha }=\frac{0.08}{\mathrm{\pi }},$ $\mathrm{\beta }=\frac{2.0}{\mathrm{\pi }}$

3. $\mathrm{\alpha }=\frac{0.04}{\mathrm{\pi }},$ $\mathrm{\beta }=\frac{1.0}{\mathrm{\pi }}$

4. $\mathrm{\alpha }=12.50$ $\mathrm{\pi },$ $\mathrm{\beta }=\frac{\mathrm{\pi }}{2.0}$

Subtopic:  Wave Motion |
86%
From NCERT
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The equation of a progressive wave is given by $y=4\mathrm{sin}\left\{\pi \left(\frac{t}{5}-\frac{x}{9}\right)+\frac{\pi }{6}\right\}$.
Which of the following is correct​​​​?
1. v = 5 m / sec
2.  λ = 18 m
3.  a = 0.04 m
4.  n = 50 Hz

Subtopic:  Wave Motion |
85%
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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 axis. 2 the speed of the pulse is $$4$$ m/s. 3 the amplitude of the pulse is $$5$$ m. 4 all of these.

Subtopic:  Wave Motion |
85%
From NCERT
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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. $\pi$A/2

2. $\pi$A

3. 2$\pi$A

4. A

Subtopic:  Wave Motion |
84%
From NCERT
AIPMT - 2010
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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

Subtopic:  Wave Motion |
83%
From NCERT
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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 -ve x direction with frequency 1 Hz 2 +ve x direction with frequency π Hz and wavelength λ =0.2 m 3 +ve x direction with frequency 1 Hz and wavelength λ = 0.2 m 4 - ve x direction with amplitude 0.25 m and wavelength λ = 0.2 m

Subtopic:  Wave Motion |
84%
From NCERT
NEET - 2008
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