Tag: ray optics and optical instruments

Questions Related to ray optics and optical instruments

The refractive index of the material of a double convex lens is $1.5$ and its focal lengths in $5cm$. If the radii of curvature are equal, the value of the radius of curvature is

  1. 5.0

  2. 6.5

  3. 8.0

  4. 9.5


Correct Option: A

In a plano convex lens, the radius of curvature of the convex iens is 10 cm, if the plane side is polished , then the focal length is (Refractive index=1.5)

  1. $20.5 cm$

  2. $10 cm$

  3. $15.5 cm$

  4. $5 cm$


Correct Option: A

When a thin convex lens of focal length $10cm$ is kept in contact with a diverging lens, the power of the combination is found to be $-10D$. The focal length of the other lens is

  1. $-5cm$

  2. $10cm$

  3. $-25cm$

  4. $5cm$


Correct Option: B

A lens made from a material of absolute refractive index $\mathrm { n } _ { 1 }$  and it is placed in a medium of absolute refractive index $\mathrm { n } _ { 2 }$   The focal length of the lens is related to $\mathrm { n } _ { 1 } \text { and } \mathrm { n } _ { 2 }$ as:

  1. $f \alpha \left( n _ { 1 } - n _ { 2 } \right)$

  2. $f \alpha \frac { 1 } { \left( n _ { 1 } - n _ { 2 } \right) }$

  3. $f \alpha \left( n _ { 1 } + n _ { 2 } \right)$

  4. $f \alpha \frac { 1 } { \left( n _ { 1 } + n _ { 2 } \right) }$


Correct Option: A

Two lenses of power 12 and -2 dioptre are placed in contact. The focal length of the combination is 

  1. 10cm

  2. 15cm

  3. 12cm

  4. 8.33cm


Correct Option: A

Two thin convex lenses of focal length 10 cm  and 15 cm are separated by a distance of 10 cm. The  focal length of combination is   :-

  1. 4.2 cm

  2. 6 cm

  3. 10 cm

  4. 15 cm


Correct Option: B

A convex lens of focal length 10 cm is being placed in contact with a concave lens of focal length 20 cm. The focal length of the combination is.

  1. -20 cm

  2. 20 cm

  3. 10 cm

  4. -10 cm


Correct Option: B

A point object is placed at a distance of $15 cm$ from a convex lens. The image is formed on the other side at a distance of $30cm$ from the lens. When a concave lens is placed in contact with the convex lens, the image shifts away further by $30 cm$. Calculate the focal lengths of the concave and convex lenses.

  1. $10 cm, 60 cm$

  2. $ 20 cm, 30 cm$

  3. $60 cm, 10 cm$

  4. $30 cm, 20 cm$


Correct Option: C

Two plano-convex lenses of glass of refractive index $1.5$ have radii of curvature $20\ cm$ and $30\ cm$. They are placed in contact with curved surfaces towards each other and the space between them is filled with a liquid of refractive index $4/3$. The focal length of the combination is

  1. $48\ cm$

  2. $72\ cm$

  3. $12\ cm$

  4. $28\ cm$


Correct Option: B

An achromatic combination of a concave and convex lenses  has power 5D. If the power of convex lens is 4 D then the magnitue of focal length of concave lens is 

  1. 10 cm

  2. 200 cm

  3. 100 cm

  4. 20 cm


Correct Option: B