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All questions of Waves for JAMB Exam

A sound source of frequency 600 Hz is moving towards an observer with velocity 20m/s. The speed of sound is 340m/s. The frequency heard by observer will be
  • a)
    630.5hz
  • b)
    30hz
  • c)
    637.5hz
  • d)
    63.5 Hz
Correct answer is option 'C'. Can you explain this answer?

Preeti Khanna answered
F(s)/F(l) = [V+V(s)]/[V+V(l)]
V = velocity of sound = 340m/s
V(l) = velocity of listener = 0
F(l) = frequency heard by listener = ?
V(s) = velocity of source = -20m/s (because, it's source to listener)
F(s) = frequency of source = 600hz
By putting these values in the above formula and solving we get,
F(l) = 637.5 Hz.
Hence C is correct.

Which region in the electromagnetic spectrum will have the highest speed?
  • a)
    Radio
  • b)
    Visible
  • c)
    All the regions have same speed
  • d)
    Microwaves
Correct answer is option 'C'. Can you explain this answer?

Alok Mehta answered
The entire electromagnetic spectrum, from the lowest to the highest frequency (longest to shortest wavelength), includes all radio waves (e.g., commercial radio and television, microwaves, radar), infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays.

Phenomenon of beats is not used in
  • a)
    Tuning musical instruments
  • b)
    Detecting the presence of dangerous gases in mines
  • c)
    Designing low frequency oscillators
  • d)
    Radars for detecting submarines
Correct answer is option 'D'. Can you explain this answer?

Top Rankers answered
Radar uses electromagnetic energy pulses. The radio-frequency (rf) energy is transmitted to and reflected from the reflecting object. A small portion of the reflected energy returns to the radar set. This returned energy is called an ECHO. Radar sets use the echo to determine the direction and distance of the reflecting object.
It does not work on phenomena of beats.

Pure sound notes from two sources make the molecules of air at a location vibrate simple harmonically in accordance with the equations.
y1 = 0.008 sin (604 n t) and
y2 = 0.007 sin (610 n t) respectively.
The number of beast heard by a person at the location will be:
  • a)
    3
  • b)
    1
  • c)
    2
  • d)
    4
Correct answer is option 'A'. Can you explain this answer?

Tarun Kaushik answered
Given that two sources produce pure sound notes as follows: y1= 0.008 sin (604 n t) y2= 0.007 sin (610 n t) To find the number of beats heard by a person at the location, we need to first understand the concept of beats.
Beats: When two sound waves of slightly different frequencies are superimposed, we hear a periodic variation in the loudness of sound. This variation is called beats.
The number of beats heard per second is given by the difference between the frequencies of the two sound waves.
Mathematically, the beat frequency is given by fbeat = |f1 - f2| where f1 and f2 are the frequencies of the two sound waves. In this problem, the frequencies of the two sound waves are 604 n and 610 n, respectively.
Therefore, the beat frequency is fbeat = |604 n - 610 n| = 6 n Since the beat frequency is 6 n, the number of beats heard per second is 6. Since each beat corresponds to two sound waves (one from each source), the total number of sound waves heard per second is twice the number of beats, which is 12.
However, the question asks for the number of distinct sounds heard, which is equal to the number of beats. Therefore, the answer is 3 (Option A).
 

Light of wavelength 500 nm is incident on a slit of width 0.1 mm. The width of the central bright line on the screen is 2m. What is the distance of the screen?​
a)1 m
b)200 m
c)0.75 m
d)0.5 m
Correct answer is option 'B'. Can you explain this answer?

Swara Sharma answered
Beta(central Maxima)=2lambda D(distance of the screen)/d(distance between slits).

beta=2m.

wavelength= 500nm=5×10^-7m.

d=0.1mm=1×10^-4m.

2=2×5×10^-7 D/10^-4.

1=5×10^-3 D .

1/5×10^-3=D .

1000/5=D.

200m=D

Which region in the electromagnetic spectrum has the highest frequency?
  • a)
    Frequency is same for the complete spectrum
  • b)
    Gamma Radiation Region
  • c)
    Radio
  • d)
    Visible
Correct answer is option 'B'. Can you explain this answer?

A gamma ray or gamma radiation is a penetrating electromagnetic radiation arising from the radioactive decay of atomic nuclei. It consists of the shortest wavelength electromagnetic waves and so imparts the highest photon energy

Which of the following is not an example of coherent source produced by the division of wavefront?
  • a)
    Fresnel’s biprism
  • b)
    Lloyd’s mirror
  • c)
    Young’s double slit experiment
  • d)
    Interference by thin films
Correct answer is option 'D'. Can you explain this answer?

Suresh Iyer answered
The correct answer is option D
In A,B,C there is a single source (coherent source)while in D there is an interference of thin films whose sources are different ,therefore not coherent.

If the Young’s apparatus is immersed in water, the effect on fringe width will​
  • a)
    remain same
  • b)
    decrease
  • c)
    increase
  • d)
    Cant say because the experiment cannot be carried in any other medium except air
Correct answer is option 'B'. Can you explain this answer?

Kalyan Joshi answered
Effect of Immersing Young's Apparatus in Water on Fringe Width

When the Young's apparatus is immersed in water, the effect on the fringe width can be explained as follows:

1. Refractive Index of Water: Water has a higher refractive index than air. This means that light passing through water will be bent more than in air.

2. Path Difference: Path difference is the difference in the distance traveled by two waves from the source to the point where they interfere with each other. When the apparatus is immersed in water, the path difference between the two waves will change due to the change in refractive index.

3. Decrease in Fringe Width: As the path difference changes, the interference pattern will also change. The fringe width will decrease because the change in the path difference will cause the interference pattern to become more spread out.

4. Explanation: The fringe width is inversely proportional to the square root of the refractive index. Since the refractive index of water is higher than air, the fringe width will decrease when the apparatus is immersed in water.

Conclusion

In conclusion, when the Young's apparatus is immersed in water, the fringe width will decrease due to the change in refractive index, which leads to a change in the path difference and the interference pattern.

A rotating calcite crystal is placed over an ink dot. On seeing through the crystal one finds:
  • a)
    Two stationary dots
  • b)
    Two dots moving along straight lines
  • c)
    One dot rotating about the other
  • d)
    Both dots rotating about a common axis
Correct answer is option 'C'. Can you explain this answer?

Anaya Patel answered
In calcite crystal there is a phenomenon of double refraction. So, we see one dot as a stationary object whereas the other being refracted at a little displaced position seems to be rotating about the first dot.

An unpolarised beam of intensity Io is incident on a polarizer and analyser placed in contact. The angle between the transmission axes of the polarizer and the analyser is θ. What is the intensity of light emerging out of the analyser?​
  • a)
    (I0 cos 2θ)/2
  • b)
    I0 cos2θ
  • c)
    I0 cosθ
  • d)
    I0
Correct answer is option 'A'. Can you explain this answer?

Nikita Singh answered
 Suppose the angle between the transmission axes of the analyser and the polarizer is θ. The completely plane polarized light form the polarizer is incident on the analyser. If E0 is the amplitude of the electric vector transmitted by the polarizer, then intensity I0 of the light incident on the analyser is
I ∞ E02
 
The electric field vector E0 can be resolved into two rectangular components i.e E0 cosθ and E0 sinθ. The analyzer will transmit only the component ( i.e E0 cosθ ) which is parallel to its transmission axis. However, the component E0sinθ will be absorbed by the analyser. Therefore, the intensity I of light transmitted by the analyzer is,
 
I ∞ ( E0 x cosθ )2
 
I / I0 = ( E0 x cosθ )2 / E02 = cos2θ
 
I = I0 x cos2θ
when light passes from polarizer it's intensity becomes half and when passed through analyser it becomes,
I = I0 x cos2θ/2
 

Infrared waves are produced by
  • a)
    Permanent magnets
  • b)
    dipole oscillations
  • c)
    static charges
  • d)
    all hot bodies and molecules
Correct answer is option 'D'. Can you explain this answer?

Yashika Singh answered
Option(d)becoz---> infrared radiation is heat or thermal radiation, any object which has a temperature radiates in the infrared. Even objects that we think of as being very cold, such as an ice cube, emit infrared. When an object is not quite hot enough to radiate visible light, it will emit most of its energy in the infrared

An echo repeats two syllables. If the velocity of sound is 330 m/s, then the distance of reflecting surface is
  • a)
    16.5 m
  • b)
    99 m
  • c)
    66 m
  • d)
    33.0 m
Correct answer is option 'C'. Can you explain this answer?

Rajesh Gupta answered
Let us say that we speak syllables at a rate of 2 to 9 per second. So let us say that a syllable takes a minimum of 0.1 sec for a fast speaker. Let us say that a sound pulse (syllable) is emitted starting at t = 0.

The effect of a syllable lasts on the ear for 0.1 sec. So if any echo reaches the year before t = 0.2 sec., then it is mixed with the direct sound present in the ear and so echo is not properly heard.

In this problem, two syllables are repeated in the echo. That is it took about 2 * 0.2 sec ie., 0.4 seconds for the sound to travel to the reflecting surface and come back to the ear.

The distance of the reflecting surface from the person
= 330 m/s * 0.4 sec / 2
= 66 meters.

Two coherent sources produce a dark fringe when phase difference between the interfering waves is(n integer)​
  • a)
  • b)
    (2n – 1)π
  • c)
    zero
  • d)
    n
Correct answer is option 'B'. Can you explain this answer?

Shruti Sarkar answered
Dark fringes will be produced when there are destructive interference. The condition for that is the two waves should have a phase difference of an odd integral multiple of π.

A beam of light has a wavelength of 650 nm in vacuum. What is the wavelength of these waves in the liquid whose index of refraction at this wavelength is 1.47?
  • a)
    472nm
  • b)
    442nm
  • c)
    462nm
  • d)
    452nm
Correct answer is option 'B'. Can you explain this answer?

Geetika Shah answered
We know that,
Wavelength of light in a material:
λ= λ0/n
where, λ=wavelength of material, λ0=wavelength of light in vacuum,
n=index of refraction of material.
So, 650x10-9m/1.47=442.177nm.

Diffraction of light gives the information of
  • a)
    Transverse nature
  • b)
    Longitudinal nature
  • c)
    Both transverse and longitudinal
  • d)
    Neither transverse nor longitudina
Correct answer is option 'D'. Can you explain this answer?

Vijay Bansal answered
Transverse and longitudinal waves. Light and other types of electromagnetic radiation are transverse waves. Water waves and S waves (a type of seismic wave) are also transverse waves. In transverse waves, the vibrations are at right angles to the direction of travel.

Diffraction pattern cannot be observed with:
a)one wide slit
b)two narrow slits
c)one narrow slit
d)large number of narrow slits
Correct answer is option 'A'. Can you explain this answer?

Pooja Mehta answered
If one illuminates two parallel slits, the light from the two slits again interferes. Here the interference is a more pronounced pattern with a series of alternating light and dark bands. ... He also proposed (as a thought experiment) that if detectors were placed before each slit, the interference pattern would disappear.

Weather forecasting uses
  • a)
    Visible Rays
  • b)
    Micro waves
  • c)
    Infra red Rays
  • d)
    Gamma Rays
Correct answer is option 'C'. Can you explain this answer?

Nandini Iyer answered
It's an infrared sensor that reads temperatures.This sensor allows satellites to measure the amount of energy radiated by Earth's surface, clouds, oceans, air, and so on. Infrared sensors can be used at night—a helpful feature for forecasters, considering that the imager can only pick up data during daylight hours.

The phenomena diffraction can take place in sound waves.
  • a)
    Yes
  • b)
    No
  • c)
    Only Interference
  • d)
    Under certain conditions only
Correct answer is option 'A'. Can you explain this answer?

Rohan Singh answered
YES, Sound waves, on the other hand, are longitudinal, meaning that they oscillate parallel to the direction of their motion. Since there is no component of a sound wave's oscillation that is perpendicular to its motion, sound waves cannot be polarized

Fundamental note in open pipe (v1=ν/2L) has _________ the frequency of the fundamental note in closed organ pipe (v2=ν/4L).
a)Twice
b)Half
c)Four times
d)Thrice
Correct answer is option 'A'. Can you explain this answer?

Riya Banerjee answered
Let L be a length of the pipe,
The fundamental frequency of closed pipe is
v2​=ν​/4L                                         .....(i)
where ν is the speed of sound in air.
Fundamental frequency of open pipe of same length is
v​1=ν/2L​                                            .....(ii)
After dividing v1 with v2,
v1/v2= ν/2L/ ν​/4L
v1=2v2

Which of the following undergoes largest diffraction?
  • a)
    Ultraviolet light
  • b)
    Infra red light
  • c)
    Radio waves
  • d)
    Y – rays
Correct answer is option 'C'. Can you explain this answer?

Anjana Sharma answered
Maximum diffraction occurs when size of obstacle is almost equal to wavelength of light wave. Hence maximum diffraction occurs for larger wavelength . As wavelength of radio wave is higher than others, maximum diffraction will occur for it.   

When two tuning forks are sounded together 4 beats are heard per second. One tuning fork is of frequency 346 Hz. When its prong is loaded with a little wax, the number of beats is increased to 6 per second. The frequency of the other fork is:
  • a)
    352 Hz
  • b)
    340 Hz
  • c)
    350 Hz
  • d)
    342 Hz
Correct answer is option 'C'. Can you explain this answer?

Suresh Reddy answered
Frequency of fork one is 346 Hz.
When the other fork is waxed, the beat is increased.
So, the frequency of other fork is less than the frequency of fork one.
So, 
beat = frequency of fork one − frequency of second fork
4=346− Frequency of second fork
Frequency of second fork =350 Hz

Do EM waves need a medium to travel through?
  • a)
    No
  • b)
    Yes
  • c)
    ether is required
  • d)
    None of the above
Correct answer is option 'A'. Can you explain this answer?

Gopikas S answered
The electromagnetic waves are not mechanical waves. There are vibrations of electric vector and magnetic vector in them. These vibrations do not need any particles present in the medium for their propagation. That's why electromagnetic waves do not require any medium for propagation.

Infra red rays are used
  • a)
    radar systems
  • b)
    In green house to keep plants warm
  • c)
    To treat muscular pain
  • d)
    Both b and c
Correct answer is option 'D'. Can you explain this answer?

Niki Niki answered
Infra red rays are basically heat radiation it gives warmth which support the plant growth. It also helps in treating muscle pain in the same way we use hot water massage for muscle cramps. Hope it helps:)

 Waves associated with moving protons, electrons, neutrons, atoms are known as
  • a)
    none of these
  • b)
    Gamma rays
  • c)
    Matter waves
  • d)
    Electromagnetic waves
Correct answer is option 'C'. Can you explain this answer?

Anjali Iyer answered
Matter waves are a central part of the theory of quantum mechanics, being an example of wave–particle duality. All matter can exhibit wave-like behavior. For example, a beam of electrons can be diffracted just like a beam of light or a water wave.

A piano wire having a diameter of 0.90 mm is replaced by another wire of the same length and material but with a diameter of 0.93 mm. If the tension of the wire is kept the same, then the percentage change in the frequency of the fundamental tone is nearly  
  • a)
    +3%
  • b)
    +3.3 %
  • c)
    -3.3%
  • d)
    -3% 
Correct answer is option 'C'. Can you explain this answer?

Preeti Iyer answered
Out of all the given quantities only frequency of the wire "f” and radius of the wire "R" changes and the remaining doesn't. Also if a quantity doesn't change (or is a constant) its derivative is zero. Given, initial radius = 0.45 mm and final radius = 0.465 mm so change in radius, ΔR = 0.015 mm

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