A concave spherical mirror has a radius of curvature of 45.9 cm. Choose the answ

Question

A concave spherical mirror has a radius of curvature of 45.9 cm. Choose the answer below that best describes the image that is formed by an object that is located 15.4 cm in front of the mirror. (a) Real, inverted, magnified 0.22 times, and is 9.30 cm in front of the mirror. (b) Virtual, erect, magnified 7.04 times, and is 108.4 cm behind the mirror. (c) Virtual, erect, magnified 2.23 times, and is 34.3 cm behind the mirror. (d) Virtual, erect magnified 3.04 times, and is 46.8 cm behind the mirror. (e) Real, inverted, magnified 0.22 times, and is 9.30 cm in front of the mirror. (f) _______.

Explanation / Answer

According to the question

We know that

Given

radius of curvature is 45.9 cm

Then,

45.9/2 = 22.95cm is the focal point.

(1/22.95 - 1/15.4)^-1= -46.8cm

-46.8cm is the image

Magnification formula is di/do or hi/ho

Then,

46.8cm/15.4cm = 3.04 times
So

The object is virtual ,erect ,magnified 3.04 times ,and is 46.8 cm behind the mirror

Therefore answer is option D

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