The displacement of a particle is given by y=5×104sin(100t50x), 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
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A tuning fork makes \(256\) vibrations per second in air. When the velocity of sound is \(330\) m/s, then the wavelength of the tone emitted is:
1. \(0.56\) m
2. \(0.89\) m
3. \(1.11\) m
4. \(1.29\) m
Subtopic:  Wave Motion |
 85%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.

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 α and β in appropriate units are:

1. α=25.00 π, β=π

2. α=0.08π, β=2.0π

3. α=0.04π, β=1.0π

4. α=12.50 π, β=π2.0

Subtopic:  Wave Motion |
 86%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

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
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

The equation of a progressive wave is given by y=4sinπt5x9+π6.
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%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

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
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

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
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

The wave described by y=0.25 sin(10πx-2πt), 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
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

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
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

Three progressive waves \(A,\) \(B\) and \(C\) are shown below. With respect to wave \(A,\)
       
1. wave \(C\) lags behind in phase by \(\pi/2\) and wave \(B\) leads by \(\pi/2\).
2. wave \(C\) leads in phase by \(\pi\) and wave \(B\) lags behind by \(\pi\).
3. wave \(C\) lags behind in phase by \(\pi/2\) and wave \(B\) leads behind by \(\pi\).
4. wave \(C\) lags behind in phase by \(\pi\) and wave \(B\) leads by \(\pi\).
Subtopic:  Wave Motion |
 80%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.