The displacement of a particle is given by $y=5×{10}^{-4}\mathrm{sin}\left(100t-50x\right)$, where x is in meter and t is in  sec, find out the velocity of the wave :

(1) 5000 m/sec

(2) 2 m/sec

(3) 0.5 m/sec

(4) 300 m/sec

Concept Questions :-

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

Difficulty Level:

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

(1) $y=\mathrm{sin}\left(x-v\text{\hspace{0.17em}}t\right)$

(2) $y={y}_{m}\mathrm{sin}k\left(x+v\text{\hspace{0.17em}}t\right)$

(3) $y={y}_{m}\mathrm{sin}\left(x-v\text{\hspace{0.17em}}t\right)$

(4) $y=f\left({x}^{2}-v\text{\hspace{0.17em}}{t}^{2}\right)$

Concept Questions :-

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

Difficulty Level:

Wave equations of two particles are given by ${y}_{1}=a\mathrm{sin}\left(\omega \text{\hspace{0.17em}}t-kx\right)$, ${y}_{2}=a\mathrm{sin}\left(kx+\omega \text{\hspace{0.17em}}t\right)$, then :

(1) They are moving in the opposite direction

(2) The phase between them is 90°

(3) The phase between them is 180°

(4) The phase between them is 0°

Concept Questions :-

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

Difficulty Level:

A transverse wave is represented by the equation $y={y}_{0}\mathrm{sin}\frac{2\pi }{\lambda }\left(vt-x\right)$

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

(1) $\lambda =2\pi {y}_{0}$

(2) $\lambda =\pi {y}_{0}/3$

(3) $\lambda =\pi {y}_{0}/2$

(4) $\lambda =\pi {y}_{0}$

Concept Questions :-

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

Difficulty Level:

A wave travels in a medium according to the equation of displacement given by $y\left(x,\text{\hspace{0.17em}}t\right)=0.03\mathrm{sin}\pi \left(2t-0.01x\right)$ 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

Concept Questions :-

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

Difficulty Level:

Equation of a progressive wave is given by $y=4\mathrm{sin}\left\{\pi \left(\frac{t}{5}-\frac{x}{9}\right)+\frac{\pi }{6}\right\}$

Then which of the following is correct ?

(1) v = 5 m / sec

(2) λ = 18 m

(3) a = 0.04 m

(4) n = 50 Hz

Concept Questions :-

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

Difficulty Level:

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 :-

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