For the stationary wave y=4sinπx15cos(96πt), the distance between a node and the next antinode is :

(1) 7.5

(2) 15

(3) 22.5

(4) 30

Concept Questions :-

Standing waves
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The equation of a stationary wave is y=0.8cosπx20sin200πt, where x is in cm and t is in sec. The separation between consecutive nodes will be :

(1) 20 cm

(2) 10 cm

(3) 40 cm

(4) 30 cm

Concept Questions :-

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A wave represented by the given equation y=acos(kxωt) is superposed with another wave to form a stationary wave such that the point x = 0 is a node. The equation for the other wave is :

(1) y=asin(kx+ωt)

(2) y=acos(kx+ωt)(3) y=acos(kxωt)

(4) y=asin(kxωt)

Concept Questions :-

Standing waves
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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 :

(1) 1.21 Å

(2) 2.42 Å

(3) 6.05 Å

(4) 3.63 Å

Concept Questions :-

Standing waves
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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 :

(1) Zero

(2) π/2

(3) π

(4) 3π/2

Concept Questions :-

Standing waves
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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 :

(1) 104 m/s

(2) 1 m/s

(3) 10–4 m/s

(4) Not derivable from the above data

Concept Questions :-

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

(1) 20n

(2) 10n

(3) 5n

(4) n10

Concept Questions :-

Standing waves
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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 :

1. 5 cm

2. π cm

3. 3 cm

4. 40 cm

Concept Questions :-

Standing waves
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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 :

(1) Z1 and Z2

(2) Z1 and Z4

(3) Z2 and Z3

(4) Z3 and Z4

Concept Questions :-

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

(1) ct / π

(2) ct / 2π

(3) π / 2k

(4) π / k

Concept Questions :-

Standing waves
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