WAVES QUIZ-1

JEE Advanced paper is considered to be one of the toughest entrance exams in India. Moreover, this Physics is considered the toughest subject because it is the most application-based. The student needs to get the basics right and then move on to mastering advanced concepts. Waves consist of nearly about 4-5 % of marks in the Physics section.

Q1. The frequency of a sonometer wire is 10 Hz. When the weights producing the tension are completely immersed in water the frequency becomes 80 Hz and on immersing the weights in a certain liquid the frequency becomes 60 Hz. The specific gravity of the liquid is
•  1.42
•  1.77
•  1.82
•  1.21
Solution

Q2. The mathematical form of three travelling waves is given by
Y1 = (2 cm) sin⁡(3x-6t)
Y2 = (3 cm) sin(4x-12t)
And Y3 = (4 cm) sin(5x-11t)
of these waves
•  Wave 1 has the greatest wave speed and greatest maximum transverse string speed
•  Wave 2 has the greatest wave speed and wave 1 has the greatest maximum transverse string speed
•  Wave 3 has the greatest wave speed and wave 1 has the greatest maximum transverse string speed
•  Wave 2 has the greatest wave speed and wave 3 has the greatest maximum transverse string speed
Solution
(d)
For the wave, y=A sin ⁡(kx - Ï‰t), the wave speed is Ï‰ / k and the maximum transverse string is A Ï‰

Q3.
•  Zero
•
•
•
Solution

Q4. A closed organ pipe and an open organ pipe of same length produce 2 beats when they are set into vibration simultaneously in their fundamental mode. The length of the open organ pipe is now halved and of the closed organ pipe is doubled; the number of beats produced will be
•  8
•  7
•  4
•  2
Solution

Q5. The amplitude of a wave disturbance propagating along positive X-axis is given by y = 1 / ( 1 + x2 ) at t=0 and y = 1 / [ 1 + (x-2)2 ] at t = 4 s where x and y are in metre. The shape of wave disturbance does not change with time. The velocity of the wave is
•  0.5 m/s
•  1 m/s
•  2 m/s
•  4 m/s
Solution

Q6.
•  300 m/s
•  30 m/s
•  400 m/s
•  40 m/s
Solution

Q7. An air column closed at one end and opened at the other end, resonates with a tuning fork of frequency v when its length is 45 cm and 99 cm and at two other lengths in between these values. The wavelength of sound in air column is
•  180 cm
•  108 cm
•  54 cm
•  36 cm
Solution

Q8. Two waves having intensity I and 9I produce interference. If the resultant intensity at a point is 7I, what is the phase difference between the two waves?
•
•  60°
•  90°
•  120°
Solution

Q9. A siren placed at a railway platform is emitting sound of frequency 5 kHz. A passenger sitting in a moving train A records a frequency of 5.5 kHz while the train approaches the siren. During his return journey in a different train B he records a frequency of 6.0 kHz while approaching the same siren. The ratio of velocity of train B to that of train A is
•  242 / 252
•  2
•  5 / 6
•  11 / 6
Solution

Q10. A closed organ pipe has length ‘l’. The air in it is vibrating in 3rd overtone with maximum amplitude ‘a’. The amplitude at a distance of l/7 from closed end of the pipe is equal to
•  a
•  a / 2
•  (a√3) / 2
•  Zero
Solution

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