Tag: power of the lens

Questions Related to power of the lens

A convex lens of focal length 40 cm is in contact with a concave lens of focal length 25 cm. The power of he combination, is :

  1. $+ 6.67 D$

  2. $- 6.5 D$

  3. $- 1.5 D$

  4. $+ 6.5 D$


Correct Option: C
Explanation:

Given,


$f _1=+40cm$


$f _2=-25cm$

Power, $P=\dfrac{1}{f}$

The power of combination,

$P=\dfrac{1}{f _1}+\dfrac{1}{f _2}$

$P=\dfrac{100}{+40cm}+\dfrac{100}{-25cm}$

$P=-1.5D$

The correct option is C.

A far sighted person can see object beyond 71 cm clearly if separation between glasses and eye lens is 2 cm ,then find focal length of glass ?

  1. 23 cm

  2. 34.5 cm

  3. 18.4 cm

  4. 73 cm


Correct Option: D

If the magnitude of dispersive power of two lenses are $0.024$ and $0.036$. There focal length will be for abberation free combination.

  1. $30\ cm,\ -40\ cm$

  2. $30\ cm,\ -45\ cm$

  3. $10\ cm,\ 30\ cm$

  4. $20\ cm,\ -35\ cm$


Correct Option: B

In displacement method,magnification for two positions of the lens are 2 and 0.5 and the distance between the two position of the lens is 30 cm. if the focal length of lens is

  1. 15cm

  2. 20cm

  3. 25cm

  4. 30cm


Correct Option: B

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