Physics MCQs for NEET — Practice Questions with Answers

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The superposing waves are represented by the following equations : y1=5sin2π(10t0.1x), y2=10sin2π(20t0.2x) Ratio of intensities ImaxImin will be :

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Explanation

a1=5,  a2=10

ImaxImin=(a1+a2)2(a1a2)2=(5+10510)2=91

The displacement of a particle is given by x=3sin(5πt)+4cos(5πt). The amplitude of the particle is :

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Explanation

For the given super imposing waves

a1 = 3, a2 = 4 and phase difference ϕ=π2

A=a12+a22+2a1a2cosπ/2=(3)2+(4)2=5

The two interfering waves have intensities in the ratio 9 : 4. The ratio of intensities of maxima and minima in the interference pattern will be :

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Explanation

ImaxImin=I1I2+1I1I212=94+19422=251

If the ratio of amplitude of two waves is 4 : 3. Then the ratio of maximum and minimum intensity will be :

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Explanation

ImaxImin=a1a2+1a1a212=43+14312=491

Equation of motion in the same direction is given by y1=Asin(ωtkx), y2=Asin(ωtkxθ). The amplitude of the medium particle will be 

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Explanation

The resultant amplitude is given by

AR=A2+A2+2AAcosθ=2A2(1+cosθ)

=2Acosθ/2   (Hcosθ=2cos2θ/2)

The displacement of the interfering light waves are y1=4sinωt and y2=3sinωt+π2. What is the amplitude of the resultant wave :

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Explanation

Since, ϕ=π2

A=a12+a22=(4)2+(3)2=5

Two waves are represented by y1=asinωt+π6 and y2=acosωt. What will be their resultant amplitude :

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Explanation

A=(a12+a22+2a1a2cosϕ)

Putting a1 = a2 = a and ϕ=π3, we get A=3a

The amplitude of a wave represented by displacement equation y=1asinωt±1bcosωt will be

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Explanation

y=1asinωt±1bsinωt+π2

Here phase difference = π2

∴ The resultant amplitude

= 1a2+1b2=1a+1b=a+bab

A tuning fork sounded together with a tuning fork of frequency 256 Hz emits two beats. On loading the tuning fork of frequency 256 Hz with wax, the number of beats heard are 1 per second. The frequency of the other tuning fork is :

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Explanation

nA = Known frequency = 256, nB = ?

x = 2 bps, which is decreasing after loading (i.e. x↓) known tuning fork is loaded so nA

Hence nA↓ – nB = x↓ ... (i) → Correct

nBnA↓ = x↓ ... (ii) → Wrong

nB = nAx = 256 – 2 = 254 Hz.

If two tuning forks A and B are sounded together, they produce 4 beats per second. A is then slightly loaded with wax, they produce 2 beats when sounded again. The frequency of A is 256. The frequency of B will be :

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Explanation

nA = Known frequency = 256 Hz, nB = ?

x = 4 bps, which is decreasing after loading (i.e. x↓) also known tuning fork is loaded so nA

Hence nA↓ – nB = x↓ ... (i) → Correct

nBnA↓ = x↓ ... (ii) → Wrong

nB = nAx = 256 – 4 = 252 Hz.

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