Physics MCQs for NEET — Practice Questions with Answers

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A standing wave having 3 nodes and 2 antinodes is formed between two atoms having a distance 1.21 Å between them. The wavelength of the standing wave is :

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In stationary waves, the distance between a node and its nearest antinode is 20 cm. The phase difference between two particles having a separation of 60 cm will be :

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Explanation

λ4=20λ=80cm, also Δϕ=λ2π.Δx

Δϕ=6080×2π=3π2

A standing wave is represented by

Y=Asin(100t)cos(0.01x)

where Y and A are in millimetre, t is in seconds and x is in metre. The velocity of the wave is :

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Explanation

By comparing given equation with y=asin(ωt)coskx

v=ωk=1000.01=104 m/s

Two waves are approaching each other with a velocity of 20 m/s and frequency n. The distance between two consecutive nodes is :

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Explanation

Distance between the consecutive node =λ2,

but λ=vn=20n so λ2=10n

The stationary wave produced on a string is represented by the equation y=5cos(πx/3)sin40πt where x and y are in cm and t is in seconds. The distance between consecutive nodes is :

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Explanation

On comparing the given equation with standard equation 2πλ=π3λ=6cm.

Hence, distance between two consecutive nodes ⇒ λ = 3 cm

The following equations represent progressive transverse waves Z1=Acos(ωtkx), Z2=Acos(ωt+kx), Z3=Acos(ωt+ky) and Z4=Acos(2ωt2ky). A stationary wave will be formed by superposing :

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Explanation

When two waves of equal frequency and traveling in the opposite direction superimpose, then the stationary wave is produced. Hence Z1 and Z2 produce stationary waves.

Two traveling waves y1=Asin[k(xct)] and y2=Asin[k(x+ct)] are superimposed on the string. The distance between adjacent nodes is :

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Explanation

The distance between adjacent nodes x=λ2

Also, k=2πλ.

Hence, x=πk.

A string fixed at both ends is vibrating in two segments. The wavelength of the corresponding wave is :

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Explanation

When a string fixed at both ends vibrates in two segments, it means there is one node at the center. The wavelength of the standing wave is twice the length of the string segment, which is equal to the full length of the string (l).

A 1 cm long string vibrates with the fundamental frequency of 256 Hz. If the length is reduced to 14cm  keeping the tension unaltered, the new fundamental frequency will be :

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Explanation

n1ln2n1=l1l2

n2=l1l2n1=1×2561/4=1024Hz

Standing waves are produced in a 10 m long stretched string. If the string vibrates in 5 segments and the wave velocity is 20 m/s, the frequency is :

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Explanation

String vibrates in five segment so 52λ=lλ=2l5

Hence n=vλ=5×v2l=5×202×10=5 Hz

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