A tall man, of height \(6\) feet, wants to see his full image. The required minimum length of the mirror will be:

1. \(12\) feet 2. \(3\) feet
3. \(6\) feet 4. Any length
Subtopic:  Reflection at Plane Surface |
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Choose the correct mirror image of the figure:
       

1. 2.
3. 4.
Subtopic:  Reflection at Plane Surface |
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Two plane mirrors, \(A\) and \(B\) are aligned parallel to each other, as shown in the figure. A light ray is incident at an angle of \(30^\circ\) at a point just inside one end of \(A\). The plane of incidence coincides with the plane of the figure. The maximum number of times the ray undergoes reflections (excluding the first one) before it emerges out is:
   
1. \(28\)                     
2. \(30\)
3. \(32\)         
4. \(34\)

Subtopic:  Reflection at Plane Surface |
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An object is placed \(20\) cm in front of a concave mirror of a radius of curvature \(10\) cm. The position of the image from the pole of the mirror is:
1. \(7.67\) cm
2. \(6.67\) cm
3. \(8.67\) cm
4. \(9.67\) cm

Subtopic:  Reflection at Spherical Surface |
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Match the corresponding entries of Column 1 with Column 2. (Where \(m\) is the magnification produced by the mirror)
Column 1 Column 2
A. \(m= -2\) I.  convex mirror
B.  \(m= -\frac{1}{2}\) II. concave mirror 
C.  \(m= +2\) III.  real Image
D. \(m= +\frac{1}{2}\) IV.  virtual Image
A B C D
1. I & III I & IV I & II III & IV
2. I & IV II & III II & IV II & III
3. III & IV II & IV II & III I & IV
4. II & III II & III II & IV I & IV
Subtopic:  Reflection at Spherical Surface |
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When a concave mirror of focal length \(f\) is immersed in water, its focal length becomes \(f'\), then:
1. \(f' = f\)
2.  \(f'<f\)
3.  \(f'>f\)
4.  The information is insufficient to predict
Subtopic:  Reflection at Spherical Surface |
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A concave mirror gives an image three times as large as the object placed at a distance of \(20\) cm from it. For the image to be real, the focal length should be:
1. \(10\) cm 2. \(15\) cm
3. \(20\) cm 4. \(30\) cm
Subtopic:  Reflection at Spherical Surface |
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A thin rod of length \(\frac{f}{3}\) lies along the axis of a concave mirror of focal length \(f\). One end of its magnified, real image touches an end of the rod. The length of the image is:

1. \(f\) 2. \(\dfrac{f}{2}\)
3. \(2f\) 4. \(\dfrac{f}{4}\)
Subtopic:  Reflection at Spherical Surface |
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The distance between the object and its real image formed by a concave mirror is minimum when the distance of the object from the centre of curvature of the mirror is: [\(f\rightarrow\) focal length of the mirror]

1. Zero 2. \(\dfrac{f}{2}\)
3. \(f\) 4. \(2f\)
Subtopic:  Reflection at Spherical Surface |
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When a ray of light falls on a given plate at an angle of incidence \(60^{\circ}\), the reflected and refracted rays are found to be normal to each other. The refractive index of the material of the plate is:
1. \(\frac{\sqrt{3}}{2} \) 2. \(1.5 \)
3. \(1.732 \) 4. \( 2\)
Subtopic:  Refraction at Plane Surface |
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