NEET Practice Questions (MCQs) with Answers & Solutions

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A wave of the frequency of 500 Hz has a velocity of 360 m/sec. The distance between two nearest points 60° out of phase, is :

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Explanation

The distance between two points i.e. path difference between them Δ=λ2π×ϕ=λ2π×π3=λ6=v6n  (  v=nλ)

Δ=3606×500=0.12m=12cm

Sound waves of wavelength greater than that of audible sound are called :

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Explanation

Infrasonic waves have frequency less than (20 Hz) audible sound and wavelength more than audible sound.

The ratio of masses of nitrogen and oxygen is 14:16. The temperature at which the speed of sound in nitrogen will be same at that in oxygen at 55°C is -

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Explanation

v=γRTMTNT0=MNM0TN273+55=1416=78

TN=287K=14°C

A wavelength 0.60 cm is produced in air and it travels at a speed of 300 ms–1. It will be an 

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Explanation

n=vλ=3000.6×102Hz=36×105Hz=50,000Hz

⇒ Wave is ultrasonic.

An observer standing near the seashore observes 54 waves per minute. If the wavelength of the water wave is 10m then the velocity of a water wave is :

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Explanation

Number of waves per minute = 54

∴ Number of waves per second = 54/60

Now v = n=5460×10=9m/s.

The equation of a wave is y=2sinπ(0.5x200t), where x and y are expressed in cm and t in sec. The wave velocity is :

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Explanation

Comparing given equation with standard equation of progressive wave. The velocity of wave

v=ω(Co-efficient of t)k(Co-efficient of x)=200π0.5π=400cm/s

Equation of a progressive wave is given by

y=0.2cosπ0.04t+.02xπ6

The distance is expressed in cm and time in second. What will be the minimum distance between two particles having the phase difference of π/2 :

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Explanation

Comparing with y=acos(ωt+kxϕ),

We get k=2πλ=0.02πλ=100cm

Also, it is given that phase difference between particles Δϕ=π2.

Hence path difference between them Δ=λ2π×Δϕ=λ2π×π2=λ4=1004=25cm 

Two waves are given by y1=asin(ωtkx) and y2=acos(ωtkx). The phase difference between the two waves is :

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Explanation

y1=asin(ωtkx)

and y2=acos(ωtkx)=asinωtkx+π2

Hence phase difference between these two is π2.

If the amplitude of waves at distance r from a point source is A, the amplitude at a distance 2r will be :

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Explanation

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A wave is reflected from a rigid support. The change in phase on reflection will be : 

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Explanation

After reflection from rigid support, a wave suffers a phase change of π.

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