Waves Test

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Waves Test - 10

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Weekly Quiz Competition

Question 1
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The necessary condition for an interference by two sources of light is that:

A
two light sources must have the same wavelength

B
two point sources should have the same amplitude and same wavelength

C
two sources should have the same wavelength, nearly the same amplitude and have a constant phase angle difference

D
the two point sources should have a randomly varying phase difference

Solution

Interference is a phenomenon in which two waves super impose to form a resultant wave of greater or lower amplitude. Interference usually refers to the interaction of waves that are correlated or coherent with each other, either
because they come from the same source or because they have nearly same frequency. Option C satisfies the above conditions.
Question 2
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Four different independent waves are represented by
a) $$ y_{1}=a_{1} \sin \omega _{1}t$$
b) $$ y_{2}=a_{2} \sin \omega _{2}t$$
c) $$y_{3}=a_{3} \sin \omega _{3}t$$
d) $$y_{4}=a_{4} \sin (\omega _{4} t + \pi /3)$$
The sustained interference is possible due to

A
a & c

B
a & d

C
c & d

D
Not possible with any combination

Solution

Interference takes place during the interaction of waves that have, nearly the same frequency. Four different independent waves have frequencies $$w_{1}$$, $$w_{2}$$, $$w_{3}$$ and $$w_{4}$$ respectively. As these frequencies are different, the interference does not take place between any combinations.
Hence, option D is correct.
Question 3
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The phase difference between the particle at one compression and another particle in third compression is

A
$$\pi $$ radians

B
$$2\pi $$ radians

C
$$3\pi $$ radians

D
$$4\pi $$ radians

Solution

phase difference between two successive compression is $$2\pi $$
$$\therefore $$ phase difference between a particle at one compression and in third compression is $$2(2\pi)= 4\pi $$
Question 4
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When viewed in white light, soap bubble show colors because of

A
Interference

B
Scattering

C
Diffraction

D
Dispersion

Solution

When the light is incident on a soap bubble of certain thickness it constructively interferes for wavefronts which are in phase to produce white light and when the wavefronts are out of phase, they undergo destructive interference to produce a series of colors. Thus, interference is the reason.
Question 5
1 / -0

If a wave completes 24 cycles in 0.8 s, then frequency of the wave is

A
30 Hz

B
8 Hz

C
24 Hz

D
12 Hz

Solution

The frequency of a wave is the number of full cycle per second. Here the frequency of the wave will be: $$24/0.8=30 $$Hz.
Question 6
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For superposition of two waves, which of the following is correct

A
They must have the same frequency and wavelength

B
They must have equal frequencies but may have unequal wavelengths

C
They must have the same wave-length, but may have different frequencies

D
They may have different wavelength and different frequencies

Solution

Principle of superposition states that the displacement of two waves $$ y_1= f_1 (t-\dfrac{x}{v}) \ and \ y_2= f_2(t+\dfrac{x}{v})$$
is $$y=y_1+y_2$$
Wavelength and frequency depend on the function $$f_1 \ and \ f_2$$
$$\therefore $$ They can have any wavelength and any frequency
Question 7
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If the frequency of a wave is doubled, then its wavelength

A
Becomes doubled

B
Remains same

C
Becomes half of the original

D
None of these

Solution

Frequency is inversely proportional to the wavelength. Then If the frequency of a wave is doubled, then its wavelength will be half of the original.
Question 8
1 / -0

The interference phenomenon can take place

A
in transverse wave

B
in longitudinal wave

C
in electromagnetic waves

D
in all waves

Solution

Interference phenomena happens when two waves meet, it occurs in all waves irrespective of its nature.
Question 9
1 / -0

The disturbance caused in a medium is called

A
Straight line

B
Wave

C
Disturbance

D
None of these

Solution

Solution
Wave is formed when there is transfer of energy from one particle to another in a medium which make the particle to oscillate on its position and creates disturbance in a medium
The correct option is B
Question 10
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Speed of sound wave in a given medium is

A
Directly proportional to its frequency

B
Inversely proportional to its frequency

C
Directly proportional to the square of frequency

D
Independent of its frequency

Solution

The relationship of the velocity (v) of sound wave in a medium with its frequency and wavelength is : $$v=\nu \times \lambda$$
So, $$v \propto \nu$$.

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Re-Attempt Weekly Quiz Competition

Waves Test - 10

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Waves Test - 10

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SHARING IS CARING

Question 1

two light sources must have the same wavelength

two point sources should have the same amplitude and same wavelength

two sources should have the same wavelength, nearly the same amplitude and have a constant phase angle difference

the two point sources should have a randomly varying phase difference

Solution

Question 2

a & c

a & d

c & d

Not possible with any combination

Solution

Question 3

$$\pi $$ radians

$$2\pi $$ radians

$$3\pi $$ radians

$$4\pi $$ radians

Solution

Question 4

Interference

Scattering

Diffraction

Dispersion

Solution

Question 5

30 Hz

8 Hz

24 Hz

12 Hz

Solution

Question 6

They must have the same frequency and wavelength

They must have equal frequencies but may have unequal wavelengths

They must have the same wave-length, but may have different frequencies

They may have different wavelength and different frequencies

Solution

Question 7

Becomes doubled

Remains same

Becomes half of the original

None of these

Solution

Question 8

in transverse wave

in longitudinal wave

in electromagnetic waves

in all waves

Solution

Question 9

Straight line

Wave

Disturbance

None of these

Solution

Question 10

Directly proportional to its frequency

Inversely proportional to its frequency

Directly proportional to the square of frequency

Independent of its frequency

Solution

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