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Amplitude and Intensity of Resultant Wave Calculations due to Superposition of 2 Waves | Theory & Numericals

 Amplitude and Intensity of Resultant Wave Calculations due to Superposition of 2 Waves

Theory and Numericals

 

Problems For Practice 1. The phase difference between two light waves reaching a point is is π / 2 What is the resultant amplitude if the individual amplitudes are 3 mm and 4 mm ? 2. Two light waves superposing at the midpoint of the screen are coming from coherent sources of light of phase difference 3 π radian. Their amplitudes are 1 cm each. What will be the resultant amplitude at the given point ? 3. Two coherent monochromatic light beams of intensities I and 41 are superposed. What will be the maximum and minimum possible intensities ? [IIT] 

NCERT CLASS 11 WAVES EXEMPLAR SOLUTIONS DOWNLOAD PDF

 NCERT CLASS 11 WAVES EXEMPLAR SOLUTIONS DOWNLOAD PDF

 

 
A transverse harmonic wave on a string is described by y (x,t) =
3.0 sin (36t + 0.018x + π/4)
where x and y are in cm and t is in s. The positive direction of x is
from left to right.
(a) The wave is travelling from right to left.
(b) The speed of the wave is 20m/s.
(c) Frequency of the wave is 5.7 Hz.
(d) The least distance between two successive crests in the wave
is 2.5 cm.
15:11


15:35 In the given progressive wave
y = 5 sin (100πt – 0.4πx )
where y and x are in m, t is in s. What is the
(a) amplitude
(b) wave length
(c) frequency
(d) wave velocity
(e) particle velocity amplitude

For the harmonic travelling wave y = 2 cos 2π (10t–0.0080x + 3.5)
where x and y are in cm and t is second. What is the phase
difference between the oscillatory motion at two points separated
by a distance of
(a) 4 m
(b) 0.5 m
(c) λ/2
(d)3λ/4
 (at a given instant of time)
(e) What is the phase difference between the oscillation of a
particle located at x = 100cm, at t = T s and t = 5 s


15:10 For the travelling harmonic wave
y(x, t) = 2.0 cos 2π (10t – 0.0080 x + 0.35)
where x and y are in cm and t in s. Calculate the phase difference between oscillatory
motion of two points separated by a distance of
(a) 4 m,
(b) 0.5 m,
(c) λ/2,
(d) 3λ/4
15:10