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A double convex lens has focal length 25 cm. The radius of curvature of one of the surfaces is double of the other. Find the radii if the refractive index of the material of the lens is 1.5 :

(A)

100 cm, 50 cm

(B)

25 cm, 50 cm

(C)

18.75 cm, 37.5 cm

(D)

50 cm, 100 cm

NEET - Medical UG-2019 Medium

Answer & Solution:

\(\large{Given: ~f=25cm~~\mu=1.5~~R_2=2R_1\\{\Large{1\over f}}=(\mu-1)({\Large{1\over R_1}}-{\Large{1\over R_2}})\\{\Large{1\over 25}}=(0.5)({\Large{1\over R_1}}-{\Large{1\over 2R_1}})\\R_1=18.75cm~~~R_2=37.50cm }\)

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Other Questions of the same topic

Q1:

The refracting angle of a prism is A, and refractive index of the material of the prism is cot(A/2). The angle of minimum deviation is :-

(A)

180° - 2A

(B)

90° - A

(C)

180° + 2A

(D)

180° - 3A

NEET - Medical UG-2015 Hard

Q2:

Two identical thin plano-convex glass lenses (refractive index 1.5) each having radius of curvature of 20 cm are placed with their convex surfaces in contact at the centre. The intervening space is filled with oil of refractive index 1.7. The focal length of the combination is :-

(A)

-25 cm

(B)

-50cm

(C)

50 cm

(D)

-20 cm

NEET - Medical UG-2015 Hard

Q3:

In a diffraction pattern due to a single slit of width 'a' the first minimum is observed at an angle \(\large 30^{\circ}\) when light of wavelength 5000  Å  is incident on the slit. The first secondary maximum is observed at an angle of : 

(A)

\(\large sin^{-1}\left ( \frac{3}{4} \right )\)

(B)

\(\large sin^{-1}\left ( \frac{1}{4} \right )\)

(C)

\(\large sin^{-1}\left ( \frac{2}{3} \right )\)

(D)

\(\large sin^{-1}\left ( \frac{1}{2} \right )\)

NEET - Medical UG-2016 Medium

Q4:

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 (a) Convex mirror
(B) \(\large m=-\frac{1}{2}\) (b) Concave mirror
(C) m = +2 (c) Real image
(D) \(\large m=+\frac{1}{2}\) (d) Virtual image

 

(A)

A -> c and d; B -> b and d; C -> b and c; D -> a and d

(B)

A -> c and b; B -> b and c; C -> b and d; D -> a and d

(C)

A -> c and a; B -> a and d; C -> b and c; D -> c and d

(D)

A -> d and b; B -> b and c; C -> b and d; D -> b and c

NEET - Medical UG-2016 Hard

Chemistry Biology

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