A Person Can See Clearly Only Up To A Distance Of 30 Cm. He Wants To Read A Book Placed At A Distance Of 50 Cm From His Eyes. What Is The Power Of The Lens He Requires For His Spectacles?   

Why Kaysons ?

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

SPEAK TO COUNSELLOR ? CLICK HERE

Question

A person can see clearly only up to a distance of 30 cm. He wants to read a book placed at a distance of 50 cm from his eyes. What is the power of the lens he requires for his spectacles?   

Solution

Correct option is

–1.33 D

 

The person is myopic. This defect is correct by using a concave lens. Putting u = –50 cm and v = –30 cm in the lens formula  fives f = –75 cm. Therefore, the power of the lens

                           = – 1.33 D.  

SIMILAR QUESTIONS

Q1

A prism of refractive index of  has a refracting angle of 60o. At what angle must a ray be incident on it so that it suffers a minimum deviation?

Q2

A ray of light in a medium of refractive index μ1 is partly reflected and refracted at the boundary of a medium of refractive index μ2, as shown in fig. If BOC = 90o. The value of angle i is given by 

                                                           

Q3

A rectangular block of glass of refractive index μ and thickness d is placed over an ink dot made on a pice of paper lying on a table. When viewed from above, the dot will appear to be raised by an amount given by

Q4

Two transparent media A and B are separated by a plane boundary. The speed of light in medium A is  and in medium B  The critical angle for which a ray of light going from A toB is totally internally reflected is   

Q5

A convex glass lens (μg = 1.5) has a focal length of 8 cm when placed in air. What is the focal length of the lens when it is immersed in water (μw = 4/3)?

Q6

A plano-concave lens is made of glass of refractive index 1.5 and the radius of curvature of the curved face is 50 cm. The power of the lens is

Q7

A convex lens of focal length 50 cm and a concave lens of focal length 100 cm are separated by a distance of 10 cm. What is the power of the combination?    

Q8

How will the image formed by a convex lens be affected if the central portion of the lens is wrapped in black paper, as shown in fig.

                                                                            

Q9

The equi-convex lens, shown in the figure, has a focal length f. What will be the focal length of each half if the lens it cut along AB? (See fig.)

                                                                   

Q10

A person with defective eyesight is unable to see objects clearly nearer than 1.5 m. He wants to read a book placed at a distance of 30 cm from his eyes. Find the power of the lens he requires for his spectacles.