Question

1. A beam of light in water (n = 1.33) enters a transparent medium at an angle of incidence of 47.0^o, and is refracted at an angle of refraction 37.0^o to the normal. What is the refractive index of the medium?

2. If a converging lens forms a real, inverted image 18.0 cm to the right of the lens when the object is placed 44.0 cm to the left of a lens, determine the focal length of the lens in cm.

3. A 4.0-cm-tall object is placed 40.0 cm from a diverging lens of focal length 20.0 cm. What is the nature and location of the image?

A) A real image, 1.3 cm tall, 13.3 cm same side as the object

B) A virtual image, 2.0 cm tall, 10 cm other side of the object

C) A virtual image, 1.3 cm tall, 13.3 cm same side as the object

D) A real image, 4.0 cm tall, 20 cm other side of the object

E) A virtual image, 4.0 cm tall, 20 cm other side of the object

Answer 1

1) applying snell's law

putting in the values we get

n₂ = 1.616

2)

given v= +18 cm and u = -44 cm

applying the len's formula

we get f= 12.77 cm

3)

given f=-20 cm

u=-40 cm

applying

we get

v=-13.33 cm

now we know that m= -v/u = -0.333

m is negative so image is virtual

same side of the object and h_i=mh₀ = 1.33 cm

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-V.K