A thin rod of length \(\dfrac{f}{3}\) 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 |
 58%
From NCERT
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A thin equiconvex lens of power \(P\) is cut into three parts \(A,B,\) and \(C\) as shown in the figure. If \(P_1,P_2\) and \(P_3\) are powers of the three parts respectively, then:
            

1. \(P_1=P_2=P_3\) 2. \(P_1>P_2=P_3\)
3. \(P_1<P_2=P_3\) 4. \(P_2=P_3=2P_1\)
Subtopic:  Lenses |
 71%
From NCERT
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A medium shows relation between \(i\) and \(r\) as shown. If the speed of light in the medium is \(nc\) then the value of \(n\) is:

         
1. \(1.5\) 2. \(2\)
3. \(2^{-1}\) 4. \(3^{-\frac{1}{2}}\)
Subtopic:  Refraction at Plane Surface |
 77%
From NCERT
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A person can see clearly objects only when they lie between \(50~\text{cm}\) and \(400~\text{cm}\) from his eyes. In order to increase the maximum distance of distinct vision to infinity, the type and power of the correcting lens, the person has to use will be:

1. \(\text{convex, +2.25 diopter}\) 2. \(\text{concave, -0.25 diopter}\)
3. \(\text{concave, -0.2 diopter}\) 4. \(\text{convex, +0.5 diopter}\)
 

Subtopic:  Human Eye |
 75%
From NCERT
NEET - 2016
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The speed of light in media \(M_1\) and \(M_2\) is \(1.5\times 10^{8}~\text{m/s}\) and \(2.0\times 10^{8}~\text{m/s}\) respectively. A ray of light enters from medium \(M_1\) to \(M_2\) at an incidence angle \(i\). If the ray suffers total internal reflection, the value of \(i\) is:
1. equal to \(\sin ^{-1}\left(\frac{2}{3}\right)\)
2. equal to or less than \(\sin ^{-1}\left(\frac{3}{5}\right)\) 
3. equal to or greater than \(\sin ^{-1}\left(\frac{3}{4}\right)\)
4. less than \(\sin ^{-1}\left(\frac{2}{3}\right)\)
Subtopic:  Total Internal Reflection |
 89%
From NCERT
NEET - 2010
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A boy is trying to start a fire by focusing sunlight on a piece of paper using an equiconvex lens of focal length \(10\) cm. The diameter of the sun is \(1.39\times 10^9~\text{m}\) and its mean distance from the earth is \(1.5\times 10^{11}~\text{m}.\) What is the diameter of the sun's image on the paper?
1. \( 9.2 \times 10^{-4}~\text{m} \)
2. \(6.5 \times 10^{-4}~\text{m} \)
3. \(6.5 \times 10^{-5}~\text{m} \)
4. \( 12.4 \times 10^{-4}~\text{m} \)

Subtopic:  Lenses |
 60%
From NCERT
NEET - 2008
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Two convex lenses of focal lengths \(10~\text{cm}\) and \(30~\text{cm}\) are kept at a separation of \(20~\text{cm}.\) Then the correct statement is:
1. the effective focal length is \(15~\text{cm}.\)
2. the chromatic aberration is minimized.
3. the combination behaves like a convergent lens.
4. all of these.
Subtopic:  Lenses |
 83%
From NCERT
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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 |
 78%
From NCERT
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An object is placed \(20~\text{cm}\) in front of a concave mirror of a radius of curvature \(10~\text{cm}.\) The position of the image from the pole of the mirror is:
1. \(7.67~\text{cm}\)
2. \(6.67~\text{cm}\)
3. \(8.67~\text{cm}\)
4. \(9.67~\text{cm}\)

Subtopic:  Reflection at Spherical Surface |
 91%
From NCERT
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If \(C_1,~C_2 ~\mathrm{and}~C_3\) are the critical angle of glass-air interface for red, violet and yellow color, then:

1. \(C_3>C_2>C_1\) 2. \(C_1>C_2>C_3\)
3. \(C_1=C_2=C_3\) 4. \(C_1>C_3>C_2\)
Subtopic:  Total Internal Reflection |
 71%
From NCERT
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