Wave Optics Test

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Wave Optics Test - 26

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Question 1
1 / -0

In double slit experiment, for light of which colour, the fringe width will be minimum?

A
Violet

B
Red

C
Green

D
Yellow

Solution

$$\beta \propto \lambda. $$
$$ \therefore \lambda_v =$$ minimum.
Correct answer is violet, as it has minimum wavelength . Fringe width is directly proportional to the wavelength. So, purple or violet has the minimum fringe width whereas red has maximum fringe width.
Question 2
1 / -0

The driver of a car traveling with speed 30 m/sec towards a hill sounds a horn of frequency 600 Hz. If the velocity of sound in air is 330 m/s, the frequency of reflected sound as heard by driver is :

A
500 Hz

B
550 Hz

C
555.5 Hz

D
720 Hz

Solution

$$n'=v\left[\dfrac{c+u}{c-u}\right]$$

$$=600\left[\dfrac{330+30}{330-30}\right]=720Hz$$
Question 3
1 / -0

A telescope has an objective lens of 10 cm diameter and is situated at a distance of one kilometer from two objects. The minimum distance between these two objects, which can be resolved by the telescope, when the mean wavelength of light is $$5000 \dot{A}$$, is of the order of :

A
5 m

B
5 mm

C
5 cm

D
0.5 m

Solution

We know,

Resolving Power = $$\theta = \dfrac{d} {D}$$ but $$\theta \approx \dfrac{\lambda} {a}$$

$$\left (Note : exact\ relation, \theta = \dfrac{1.22} {a}\lambda \right )$$

$$\dfrac{d} {D} = \dfrac{\lambda} {a} \Rightarrow = d = \dfrac{\lambda D} {a}$$

$$\Rightarrow d = \dfrac{5000 \times 10^{-10} \times 10^{3}} {10 \times 10^{-2}} = 5 mm$$
Question 4
1 / -0

Identify the correct statement from the following :

A
Wave nature of light was proposed by Huygens.

B
The direction of light ray and its wave front are opposite.

C
Huygen's wave theory could not explain phenomenon of reflection.

D
A monochromatic ray of light after passing through the prism should create a spectrum of seven colours.

Solution

Wave nature of light was proposed by Huygens. The direction of light ray and its wavefront are perpendicular to each other. Huygen's wave theory could not explain phenomenon of polarisation. A monochromatic ray of light after passing through the prism should be made of one colour only.
Question 5
1 / -0

The wave front is a surface in which:

A
All points are in the same phase

B
There is a pair of points in opposite phase

C
There is a pair of points with phase difference $$(\cfrac {\pi}{2})$$

D
There is no relation between the phase

Solution

A wavefront is the locus of points having the same phase.
Question 6
1 / -0

An astronomical telescope has a large aperture to

A
reduce spherical aberration

B
have high resolution

C
increase span of observation

D
have low dispersion

Solution
Question 7
1 / -0

The phenomenon of interference is shown by

A
Longitudinal mechanical waves only

B
Transverse mechanical waves only

C
Non-mechanical transverse waves only

D
All the above types of waves

Solution

Correct option is : (D) All kind of waves

$$\bullet$$Interference occurs in all kinds of waves, pattern depending upon the phases of the interfering waves.

$$\bullet$$Interference in longitudinal waves occurs in sound waves.

$$\bullet$$ Interference in transverse mechanical waves occurs in water ripples.

$$\bullet$$ Interference in transverse non mechanical waves occurs in light.
Question 8
1 / -0

An astronomical telescope has on objective and an eyepiece of focal lengths $$10 cm$$ and $$1 cm$$ respectively. Find its tube length in normal adjustment.

A
$$11\ cm$$

B
$$10\ cm$$

C
$$9\ cm$$

D
$$1\ cm$$

Solution

$$f_0=10 cm; \quad f_e=1 cm$$

In normal adjustment,
Magnifying power $$=\cfrac {f_0}{f_e}=\cfrac {10}{1}=10$$
Tube length $$=f_0+f_e$$
$$=(10+1)$$
$$=11\ cm$$
Question 9
1 / -0

Light is a form of .........

A
Energy

B
Wave

C
Both

D
none

Solution

A Light has a dual nature Sometimes it behaves like a particle (called a photon), which explains how light travels in straight lines, Sometimes it behaves like a wave, which explains how light bends around an object.
Question 10
1 / -0

Magnification of an object ($$m$$), is equal to

A
$$\cfrac {v+f}{f}$$

B
$$\cfrac {vf}{v-f}$$

C
$$\cfrac {f}{v+f}$$

D
None of these

Solution

we know,mirror formula
$$\cfrac {1}{f}=\cfrac{1}{v}+\cfrac{1}{u}, magnification(m)=\cfrac{-v}{u}$$
$$\cfrac{1}{u}=\cfrac{1}{f}-\cfrac{1}{v}$$
$$\cfrac{1}{u}=\cfrac{v-f}{fv}$$
$${u}=\cfrac{fv}{v-f}$$
$$(m)=\cfrac{-v}{u}$$,substituting $$u$$.
$$m=\cfrac{-v}{1}\times\cfrac{v-f}{fv}$$
$$m=\cfrac{f-v}{f}$$

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Wave Optics Test - 26

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Wave Optics Test - 26

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SHARING IS CARING

Question 1

Violet

Red

Green

Yellow

Solution

Question 2

500 Hz

550 Hz

555.5 Hz

720 Hz

Solution

Question 3

5 m

5 mm

5 cm

0.5 m

Solution

Question 4

Wave nature of light was proposed by Huygens.

The direction of light ray and its wave front are opposite.

Huygen's wave theory could not explain phenomenon of reflection.

A monochromatic ray of light after passing through the prism should create a spectrum of seven colours.

Solution

Question 5

All points are in the same phase

There is a pair of points in opposite phase

There is a pair of points with phase difference $$(\cfrac {\pi}{2})$$

There is no relation between the phase

Solution

Question 6

reduce spherical aberration

have high resolution

increase span of observation

have low dispersion

Solution

Question 7

Longitudinal mechanical waves only

Transverse mechanical waves only

Non-mechanical transverse waves only

All the above types of waves

Solution

Question 8

$$11\ cm$$

$$10\ cm$$

$$9\ cm$$

$$1\ cm$$

Solution

Question 9

Energy

Wave

Both

none

Solution

Question 10

$$\cfrac {v+f}{f}$$

$$\cfrac {vf}{v-f}$$

$$\cfrac {f}{v+f}$$

None of these

Solution

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