A transverse wave is described by the equation y=Y0sin2πft-2πλx. The maximum particle velocity is four times the wave velocity if :

(1) λ=πY04

(2) λ=πY02

(3) λ=πY0

(4) λ=2πY0

Subtopic:  Types of Waves |
 81%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

A transverse wave of amplitude 0.5 m and wavelength 1 m and frequency 2 Hz is propagating in a string in the negative x-direction. The expression for this wave is :

(1) y(x,t)=0.5sin(2πx4πt)

(2) y(x,t)=0.5cos(2πx+4πt)

(3) y(x,t)=0.5sin(πx2πt)

(4) y(x,t)=0.5cos(2πx+2πt)

Subtopic:  Types of Waves |
 78%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

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 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

Which one of the following does not represent a traveling wave :

1. y=sin(xvt)

2. y=ymsink(x+vt)

3. y=ymsin(xvt)

4. y=f(x2vt2)

Subtopic:  Wave Motion |
 85%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

The wave equations of two particles are given by y1=asin(ωtkx), y2=asin(kx+ωt), then:

1. they are moving in the opposite direction.
2. the phase between them is 90°.
3. the phase between them is 45°.
4. the phase between them is 0°.


 

Subtopic:  Wave Motion |
 79%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

A transverse wave is represented by the equation y=y0sin2πλ(vtx)

For what value of λ, the maximum particle velocity equal to two times the wave velocity?

(1) λ=2πy0

(2) λ=πy0/3

(3) λ=πy0/2

(4) λ=πy0

Subtopic:  Wave Motion |
 73%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

A wave travels in a medium according to the equation of displacement given by y(x,t)=0.03sinπ(2t0.01x) where y and x are in metres and t in seconds. The wavelength of the wave is :

1. 200 m

2. 100 m

3. 20 m

4. 10 m

Subtopic:  Wave Motion |
 88%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

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 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

The frequency of the sinusoidal wave y=0.40cos[2000t+0.80x] would be :

(1) 1000 π Hz

(2) 2000 Hz

(3) 20 Hz

(4) 1000πHz

Subtopic:  Wave Motion |
 89%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

The equation of a plane progressive wave is given by y=0.025sin(100t+0.25x). The frequency of this wave would be :

(1) 50πHz

(2) 100πHz

(3) 100 Hz

(4) 50 Hz

Subtopic:  Wave Motion |
 89%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh