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Physics Exam  >  Physics Tests  >  Topic wise Tests for IIT JAM Physics  >  Waves NAT Level - 1 - Physics MCQ

Waves NAT Level - 1 - Physics MCQ


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10 Questions MCQ Test Topic wise Tests for IIT JAM Physics - Waves NAT Level - 1

Waves NAT Level - 1 for Physics 2024 is part of Topic wise Tests for IIT JAM Physics preparation. The Waves NAT Level - 1 questions and answers have been prepared according to the Physics exam syllabus.The Waves NAT Level - 1 MCQs are made for Physics 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Waves NAT Level - 1 below.
Solutions of Waves NAT Level - 1 questions in English are available as part of our Topic wise Tests for IIT JAM Physics for Physics & Waves NAT Level - 1 solutions in Hindi for Topic wise Tests for IIT JAM Physics course. Download more important topics, notes, lectures and mock test series for Physics Exam by signing up for free. Attempt Waves NAT Level - 1 | 10 questions in 30 minutes | Mock test for Physics preparation | Free important questions MCQ to study Topic wise Tests for IIT JAM Physics for Physics Exam | Download free PDF with solutions
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Waves NAT Level - 1 - Question 1
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Plane harmonic waves of frequency 500 Hz are produced in air with displacement amplitude 1 x 10-3 cm. Deduce energy flux in J/m2) in the wave (density of air =1.29 gm/lit, speed of sound in air = 340 m/s).


Detailed Solution for Waves NAT Level - 1 - Question 1


The correct answer is: 0.22

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Waves NAT Level - 1 - Question 2
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Plane harmonic waves of frequency 500 Hz are produced in air with displacement amplitude 1 x 10-3 cm.  Deduce pressure amplitude (in N/m2).  (density of air = 1.29 gm/lit, speed of sound in air = 340m/s)


Detailed Solution for Waves NAT Level - 1 - Question 2

Given A = 1 x 10-3 cm = 10-5 m, v = 500 Hz, v = 340 m/s, p = 1.29 g/lit = 1.29 kg/m3
Pressure amplitude

= 2 x 3.14 x 10-5 x 500 x 340 x 1.29
= 13.8 N/m2 
The correct answer is: 13.8

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Waves NAT Level - 1 - Question 3
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If the frequency of a tuning fork is 400 Hz and the velocity of sound in air is 320 m/s, find how far does the sound travel (in m) while the fork completes 30 vibrations?


Detailed Solution for Waves NAT Level - 1 - Question 3


∴ Distance travelled by the wave when the fork completes 1 vibration = 0.8 m.
So distance travelled by the wave when the fork completes 30 vibrations.
= 0.8 x 30
= 24m
The correct answer is: 24

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Waves NAT Level - 1 - Question 4
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The vibrations of a string of length 60 cm fixed at both ends are represented by the equation

where x and y are in cm and t in seconds. What is the maximum displacement of point x = 5cm ?

Detailed Solution for Waves NAT Level - 1 - Question 4

The given equation is :

This can be written as :

This shows that a = 2 cm, λ =30 cm and ω = 1440 cm/s
The maximum displacement is given by :

For x = 5 cm

The correct answer is: 3.464

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Waves NAT Level - 1 - Question 5
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A transverse harmonic wave of amplitude 0.02 m is generated at one end (x = 0) along horizontal string by a tuning fork of frequency 500 Hz. At a given instant of time, the displacement of the particle at x = 0.1 m is 0.005 m and that of the particle at x = 0.2 m is 0.005 m. Calculate the wavelength of the wave?

Detailed Solution for Waves NAT Level - 1 - Question 5

The general equation of this wave is given by

Here A = 0.02 m
Again, when x = 0.1m, y = -0.005 m

or


Again x = 0.2m, y = 0.005m





or λ = 0.2m
The correct answer is: 0.2

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Waves NAT Level - 1 - Question 6
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Equations of a stationary and a travelling waves are as follows :

The phase difference between two points  respectively for the two waves. The ratio  is :

Detailed Solution for Waves NAT Level - 1 - Question 6


sin kx1, or sin kx2 is not zero.
Therefore, neither of x1 or x2 is a node


The correct answer is: 0.857

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Waves NAT Level - 1 - Question 7
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A simple harmonic wave travelling x-axis is given by y = 5 sin 2π ( 0.2t - 0.5x) [x is in m and t in s]. Calculate the amplitude (in m ).

Detailed Solution for Waves NAT Level - 1 - Question 7

Here
But the standard progressive wave equation is :

Comparing equation (i) and (ii), we have

A = 5cm

The correct answer is: 5/100 

= 0.05m

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Waves NAT Level - 1 - Question 8
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The equation for the vibration of a string fixed at both ends vibrating in its third harmonic is given by :
 The length of the string is :

Detailed Solution for Waves NAT Level - 1 - Question 8


Wave number


or

The correct answer is: 15.7

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Waves NAT Level - 1 - Question 9
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A wave of frequency 400 Hz is travelling with a velocity 800 m/s. How far are two points situated whose displacement differs in phase by  ?

Detailed Solution for Waves NAT Level - 1 - Question 9

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Waves NAT Level - 1 - Question 10
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The amplitude of wave disturbance propagating in positive x-axis is given by  at t = 0 andat t= 2s, where x and y are in meters. The shape of the disturbance does not change during the propagation. The velocity (in m/s) of the wave is :

Detailed Solution for Waves NAT Level - 1 - Question 10

The given pulse is of the form

where v is the wave velocity 
Given equation is

Comparing eq. (1) and (2), we get

The correct answer is: 0.5

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