Ray Optics and Optical Instruments

JEE Main 2025 (Online) 22nd January Morning ShiftMCQHard📈 Topic in 24% papers+4−1

Ques. 1JEE Main 2025, 22 January (Morning Shift)

In the diagram given below, there are three lenses formed. Considering negligible thickness of each of them as compared to |R1| and |R2|, i.e., the radii of curvature for upper and lower surfaces of the glass lens, the power of the combination is [figure]

- 16 ( 1|R1|- 1|R2| )
- 16 ( 1|R1|+ 1|R2| )
16 ( 1|R1|+ 1|R2| )
16 ( 1|R1|- 1|R2| )

Answer

(1) - 16 ( 1|R1|- 1|R2| )

Solution

Surface power P= 2- 1R; plane surfaces give 0; powers add.

Water glass: centre of curvature on the incident side, R=-|R1|: P1= 3/2-4/3-|R1|=- 16|R1|

Glass water: R=-|R2|: P2= 4/3-3/2-|R2|=+ 16|R2|

P=P1+P2=- 16 ( 1|R1|- 1|R2| )

Answer: (1)

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Ques. 2JEE Main 2025, 22 January (Morning Shift)

Given is a thin convex lens of glass (refractive index ) and each side having radius of curvature R. One side is polished for complete reflection. At what distance from the lens, an object be placed on the optic axis so that the image gets formed on the object itself?

R/
R/(2 -1)
R/(2 -3)

Ques. 3JEE Main 2025, 22 January (Morning Shift)

The driver sitting inside a parked car is watching vehicles approaching from behind with the help of his side view mirror, which is a convex mirror with radius of curvature R=2 m. Another car approaches him from behind with a uniform speed of 90 km/hr. When the car is at a distance of 24 m from him, the magnitude of the acceleration of the image of the car in the side view mirror is ' a '. The value of 100a is m/s2.

Ques. 4JEE Main 2025, 22 January (Evening Shift)

A symmetric thin biconvex lens is cut into four equal parts by two planes AB and CD as shown in figure. If the power of original lens is 4D then the power of a part of the divided lens is [figure]

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