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QJEEM19Pha59b: JEE Main 2019 Physics - Class 12 JEEM19Pha59b Solution: A concave mirror has radius of curvature of 40 cm. It is at the …

A concave mirror has radius of curvature of 40 cm. It is at the bottom of a glass that has water filled up to 5 cm (see figure). If a small particle is floating on the surface of water, its image as seen, from directly above the glass, is at a distance d from the surface of water. The value of d is dose to: (Refractive index of water = 1.33) JEE Main 2019 (Online) 12th April Morning Slot Physics - Geometrical Optics Question 159 English

Multiple Choice Options

  • A 11.7 cm
  • B 6.7 cm
  • C 13.4 cm
  • D 8.8 cm

Step-by-Step Verified Solution

Light incident from particle P will be reflected at mirror.

u = 5cm, f = m−R2=−20cm

1v+1u=1f;   v1=+203cm

This image will act as object for light getting refracted at water surface.

So, object distance d=5+203=353cm

Below water surface.
After refraction, final image is at

d′=d(μ2μ1)=(353)(14/3)

= 354=8.75cm

≈ 8.8 cm

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