The frequency of the sinusoidal wave $y=0.40\mathrm{cos}\left[2000\text{\hspace{0.17em}}t+0.80\text{\hspace{0.17em}}x\right]$ would be :

(1) 1000 π Hz

(2) 2000 Hz

(3) 20 Hz

(4) $\frac{1000}{\pi }Hz$

Concept Questions :-

Wave motion
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The equation of a plane progressive wave is given by $y=0.025\mathrm{sin}\left(100t+0.25x\right)$. The frequency of this wave would be :

(1) $\frac{50}{\pi }Hz$

(2) $\frac{100}{\pi }Hz$

(3) 100 Hz

(4) 50 Hz

Concept Questions :-

Wave motion
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

In the given progressive wave equation, what is the maximum velocity of particle $Y=0.5\mathrm{sin}\left(10\pi t-5x\right)$cm

(1) 5 cm/s

(2) 5π cm/s

(3) 10 cm/s

(4) 10.5 cm/s

Concept Questions :-

Wave motion
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Two waves of frequencies 20 Hz and 30 Hz travel out from a common point. The phase difference between them after 0.6 sec is :

(1) Zero

(2) $\frac{\pi }{2}$

(3) π

(4) $\frac{3\pi }{4}$

Concept Questions :-

Beats
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Difficulty Level:

A simple harmonic progressive wave is represented by the equation : $y=8\mathrm{sin}2\pi \left(0.1x-2t\right)$ where x and y are in cm and t is in seconds. At any instant the phase difference between two particles separated by 2.0 cm in the x-direction is :

(1) 18°

(2) 36°

(3) 54°

(4) 72°

Concept Questions :-

Wave motion
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The equation of progressive wave is $y=a\mathrm{sin}\left(200\text{\hspace{0.17em}}t-x\right)$. where x is in meter and t is in second. The velocity of wave is :

(1) 200 m/sec

(2) 100 m/sec

(3) 50 m/sec

(4) None of these

Concept Questions :-

Wave motion
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A wave equation that gives the displacement along y-direction is given by $y=0.001\mathrm{sin}\left(100t+x\right)$ where x and y are in meter and t is time in seconds. This represented a wave :

(1) Of frequency $\frac{100}{\pi }$Hz

(2) Of wavelength one metre

(3) Traveling with a velocity of $\frac{50}{\pi }$ms–1 in the positive X-direction

(4) Traveling with a velocity of 100 ms–1 in the negative X-direction

Concept Questions :-

Wave motion
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A wave travelling in positive X-direction with A = 0.2 m has a velocity of 360 m/sec. if λ = 60 m, then the correct expression for the wave is :

(1) $y=0.2\mathrm{sin}\text{\hspace{0.17em}}\left[2\pi \left(6t+\frac{x}{60}\right)\right]$

(2) $y=0.2\mathrm{sin}\text{\hspace{0.17em}}\left[\pi \left(6t+\frac{x}{60}\right)\right]$

(3) $y=0.2\mathrm{sin}\text{\hspace{0.17em}}\left[2\pi \left(6t-\frac{x}{60}\right)\right]$

(4) $y=0.2\mathrm{sin}\text{\hspace{0.17em}}\left[\pi \left(6t-\frac{x}{60}\right)\right]$

Concept Questions :-

Wave motion
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Two waves represented by the following equations are travelling in the same medium ${y}_{1}=5\mathrm{sin}2\pi \left(75t-0.25x\right)$, ${y}_{2}=10\mathrm{sin}2\pi \left(150t-0.50x\right)$

The intensity ratio I1/I2 of the two waves is :

(1) 1 : 2

(2) 1 : 4

(3) 1 : 8

(4) 1 : 16

Concept Questions :-

Wave motion
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Which of the following is not true for this progressive wave $y=4\mathrm{sin}2\pi \left(\frac{t}{0.02}-\frac{x}{100}\right)$ where y and x are in cm and t in sec

(1) Its amplitude is 4 cm

(2) Its wavelength is 100 cm

(3) Its frequency is 50 cycles/sec

(4) Its propagation velocity is 50 × 103 cm/sec

Concept Questions :-

Wave motion