Mirrors at an angle
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Q.
Two plane mirrors are inclined at an angle of . A ray is an incident on one of the mirrors with a certain angle of incidence. The reflected ray from this mirror is incident on the second mirror such that it gets reflected parallel to the first mirror. Find the angle of incidence at the two mirrors. Also, show that the sum of angles of incidence on the first and second mirrors is equal to the angle of inclination between the two mirrors.
Q. a grating has 5.7 *10^3 lines per cm. if x rays of wavelength is 546 nm and is incident on grating find the angle of reflection for the first order diffraction maximum.
Q. If an incident ray is directed towards a corner reflector as shown, at what angle(θ) does the reflected ray emerge?
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1029995/original_14.png)
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1029995/original_14.png)
- 22∘
- 68∘
- 44∘
- 46∘
Q. Paragraph : Two plane mirrors are kept at an angle 90∘, as shown in the figure. It is obvious that M_1 will form an image of point object O, and M_2 will also form an image of it. But a third image is also seen.
The rays after reflection from M1, fall onto M2.This means which of the following :
![](https://s3-us-west-2.amazonaws.com/infinitestudent-images/ckeditor_assets/pictures/13216/content_101.png)
The rays after reflection from M1, fall onto M2.This means which of the following :
- The image formed in M1 behaves as the object for M2.
- The image formed in M1 doesn't behave as the object for M2.
- M2 will form infinite number of images for the object O.
- M2 can't form an image of object O, in absence of M1.
Q. A light bulb is placed between two plane mirrors inclined at an angle of 60∘ .The number of images formed are
- 6
- 2
- 5
- 4
Q. Two plane mirrors M1 and M2 are placed at an angle of 90∘. A point object is at a distance of d and l from mirrors M1 and M2 respectively. Then
![](https://s3-us-west-2.amazonaws.com/infinitestudent-images/ckeditor_assets/pictures/616910/original_4.png)
![](https://s3-us-west-2.amazonaws.com/infinitestudent-images/ckeditor_assets/pictures/616910/original_4.png)
- Number of images formed are 2
- Images formed lie on a circle with P as a centre and radius √d2+l2
- Number of images formed are more than 2
- None of these
Q. Two vertical plane mirrors are inclined at an angle of 60∘ with each other. A ray of light travelling horizontally is reflected first from one mirror and then from the other. The resultant deviation is
- 60∘
- 120∘
- 180∘
- 240∘
Q. In the figure shown below, a ray is incident on a plane mirror. Find the value of θ for which the ray retraces its path after the third reflection.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1223263/original_Capture.PNG)
- θ=α2
- θ=α
- θ=2α
- θ=α4
Q. A screen is placed 50 cm from a single slit, which is illuminated with light of wavelength 2. If distance between the first and third minima in diffraction pattern is 3 mm and width of slit is 0.2 mm then
Q. A plane mirror makes an angle of 30∘ with horizontal. If a vertical ray strikes the mirror, find the angle between mirror and reflected rayA plane mirror makes an angle of 30∘ with horizontal. If a vertical ray strikes the mirror, find the angle between mirror and reflected ray
- 30∘
- 45∘
- 60∘
- 90∘
Q. Two plane mirrors are arranged at right angles to each other as shown in figure. A ray of light is incident on the horizontal mirror at an angle θ . For what value of θ the ray emerges parallel to the incoming ray after reflection from the vertical mirror?
![](https://s3-us-west-2.amazonaws.com/infinitestudent-images/ckeditor_assets/pictures/15706/content_71.jpg)
![](https://s3-us-west-2.amazonaws.com/infinitestudent-images/ckeditor_assets/pictures/15706/content_71.jpg)
- 60∘
- 30∘
- 45∘
- All of these
Q. Paragraph : Two plane mirrors kept at an angle 90∘, as shown in the figure. It is obvious that M1 will form an image of point object O, and M2 will form an image of it. But in practical scenario, a third image is also seen.
![](https://s3-us-west-2.amazonaws.com/infinitestudent-images/ckeditor_assets/pictures/13220/content_101.png)
The third image formed is :
![](https://s3-us-west-2.amazonaws.com/infinitestudent-images/ckeditor_assets/pictures/13220/content_101.png)
The third image formed is :
- The image of I1, in M2.
- The image of I2, in M1.
- The image of I1, in M1.
- The image of I2, in M2.