PHYSICS - OPTICS MATRIX METHOD Question: A fortune teller’s spherical crystal ba
ID: 3162931 • Letter: P
Question
PHYSICS - OPTICS
MATRIX METHOD
Question: A fortune teller’s spherical crystal ball has a refractive index of 1.50, and a diameter of 16 cm. Part 1 of this question is asked in a previous Chegg post, and the question asked for what the system matrix is of the crystal ball in air. Part 2 of this question is as follows: Where will sunlight be focused by the crystal ball? Specify with respect to the back vertex of crystal ball.
** Note: there will be a part 3 and part 4 follow-up questions to this question posted in 2 other posts, if anyone is interested in them **
Explanation / Answer
Refractive index of the ball is =1.5
that means its a glass material
Diameter of the ball is =16 cm
Radius of the ball =16/2=8 cm
hence the radius of curvature of the ball is R=8cm
hence when a sun light fall on the ball it will focus at distance from the optical center that is focal length
f=R/2=8/2=4 cm from the optical centre
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