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Chapter Test: Waves - 1 - JEE MCQ


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30 Questions MCQ Test Physics for JEE Main & Advanced - Chapter Test: Waves - 1

Chapter Test: Waves - 1 for JEE 2025 is part of Physics for JEE Main & Advanced preparation. The Chapter Test: Waves - 1 questions and answers have been prepared according to the JEE exam syllabus.The Chapter Test: Waves - 1 MCQs are made for JEE 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Chapter Test: Waves - 1 below.
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Chapter Test: Waves - 1 - Question 1

The path difference between two waves 
y1= A1 sin wt and y2= A2 cos (wt + f) will be 

Detailed Solution for Chapter Test: Waves - 1 - Question 1

y1 = A1 sin wt

y2 = A2 cos (wt + f)

Now, y2 can be rewritten as A2 sin (wt + f + π/2)

So, the phase difference is f + π/2

Path Difference = (λ/2π)(f + π/2)

Hence, the correct option is b.

Chapter Test: Waves - 1 - Question 2

The equation for two waves obtained by two light sources are as given below :

y1= A1 sin 3wt, y2 = A2 cos (3wt + p/6). What will be the value of phase difference at the time t _

Detailed Solution for Chapter Test: Waves - 1 - Question 2

y1=Asin3 ωt
y2=A2cos(3ωt+p/6)
y2=A2cosd2
y1=A sin(3ωt+p/2- p/2)
   =A sin(p/2+3ωt- p/2)
y1=A cos(3ωt- p/2)  [sin(p/2+θ)=Cosθ]
y1=A1cosd1
d2-d1=(3ωt+p/6)- (3ωt- p/2)
=p/6+p/2=2p/3

Chapter Test: Waves - 1 - Question 3

In Young's double slit experiment 62 fringes are visible in the field of view with sodium light (l = 5893Å). If green light (l = 5461Å) is used then the number of visible fringes will be _

Detailed Solution for Chapter Test: Waves - 1 - Question 3

Wavelength of light used is inversely proportional to number of fringes observed.

Chapter Test: Waves - 1 - Question 4

In young's double slit experiment, interference pattern is observed on the screen L distance apart from slits, average distance between adjacent fringes is x and slits separation is d, then the wavelength of light will be _

Detailed Solution for Chapter Test: Waves - 1 - Question 4

Fringe width = λD/d
where λ us wavelength
D is the distance between slits & screen
d is the distance between slits
ATQ: x = Lλ/d => λ = xd/L

Chapter Test: Waves - 1 - Question 5


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Chapter Test: Waves - 1 - Question 8


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Chapter Test: Waves - 1 - Question 9

A tuning fork of frequency n is sounded at the open end of a long cylindrical tube having a side opening and fitted with a movable reflecting piston. On moving the piston through 9 cm, the intensity of sound heard by the listener changes from maximum to minimum. If speed of sound is 360 m/s, value of n is 


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Chapter Test: Waves - 1 - Question 10


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Chapter Test: Waves - 1 - Question 11

In a resonance pipe the first and second resonance are obtained at lengths 22.7 cm and 70.2 cm respectively. What will be the end correction -

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Chapter Test: Waves - 1 - Question 12

A wall is moving with velocity u and a source of sound moves with velocity u/2 in the same direction as shown in the figure. Assuming that the sound travels with velocity 10u. The ratio of incident sound wavelength on the wall to the reflected sound wavelength by the wall, is equal to -


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Chapter Test: Waves - 1 - Question 13

One end of a thin metal tube is closed by thin diaphragm of latex and the tube is lower in water with closed end downward. The tube is filled with a liquid 'x'. A plane progressive wave inside water hits the diaphragm making an angle 'θ' with its normal. Assuming Snell's law to hold true for sound. Maximum angle 'θ' for which sound is not transmitted through the walls of tube is (velocity of sound in liquid x = 740√3 m/s and in water = 1480 m/s)

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Chapter Test: Waves - 1 - Question 17

A tuning fork and an air column in resonance tube whose temperature is 51°C produces 4 beats in 1 second when sounded together. When the temperature of the air column decreases, the number of beats per second decreases. When the temperature remains 16°C, only 1 beat per second is produced. Then the

frequency of the tuning fork is -

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Chapter Test: Waves - 1 - Question 18

A boat at anchor is rocked by waves whose crests are 100 m apart and velocity is 25 m/s. The boat bounces up once in every -

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Chapter Test: Waves - 1 - Question 19

A closed organ pipe of length L is vibrating in its first overtone. There is a point Q inside the pipe at a distance 7 L/9 from the open end. The ratio of pressure amplitude at Q to the maximum pressure amplitude in the pipe is

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Chapter Test: Waves - 1 - Question 20

A balloon filled with CO2, then for sound wave this will behave as a -

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Chapter Test: Waves - 1 - Question 24

The first overtone of an open organ pipe and the fundamental tone of a closed organ pipe give 5 beats per second when sounded together. If the length of the closed pipe is 25 cm, what are the possible lengths of the open organ pipe (Speed of sound in air = 340 m/sec) -

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Chapter Test: Waves - 1 - Question 26

The superposition takes place between two waves of frequency f and amplitude a. The maximum intensity Imax = constant ×____

Detailed Solution for Chapter Test: Waves - 1 - Question 26

Resultant amplitude

Chapter Test: Waves - 1 - Question 27

A point mass is subjected to two simultaneous sinusoidal displacements in the x-directions: x1(t)=Asinωt and x2(t)=Asin(ωt+2π/3). Adding a third sinusoidal displacement x(t)=Bsin(ωt+ϕ) brings the mass to a complete rest. The values of B and ϕ are respectively

Detailed Solution for Chapter Test: Waves - 1 - Question 27

Conclude from the vector triangle (equilateral).

Chapter Test: Waves - 1 - Question 28

The ends of a stretched wire of length L are fixed at x=0 and x=L. In one experiment, the displacement of the wire is y1=Asin(πx/L) sin ωt and the energy is E1, and in another experiment the displacement is y2=Asin(2πx/L)sin2ωt and the energy is E2. Then

Detailed Solution for Chapter Test: Waves - 1 - Question 28

A stationary wave has the equation of the form
y = Asin kx sin ωt

Thus, the wave velocities are the same in both the cases. Also, they have the same amplitude. The frequency for y2 is twice the frequency for y
Now, since energy ∝ (frequency)
∴E2 = 4E1

Chapter Test: Waves - 1 - Question 29

A vibrating string of certain length ℓ under a tension T resonates with a mode corresponding to the first overtone (third harmonic) of an air column of length 75 cm inside a tube closed at one end. The string also generates 4 beats per second when excited along with a tuning fork of frequency n. Now when the tension of the string is slightly increased the number of beats reduces 2 per second. Assuming the velocity of sound in air to be 340 m/s, the frequency n of the tuning fork in Hz is

Detailed Solution for Chapter Test: Waves - 1 - Question 29

The frequency (v) produced by the air column is given by

Chapter Test: Waves - 1 - Question 30

A segment of wire vibrates with a fundamental frequency of 450 Hz under a tension of 9 kgwt. Then tension at which the fundamental frequency of the same wire becomes 900 Hz is

Detailed Solution for Chapter Test: Waves - 1 - Question 30

Fundamental frequency of wire

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