An object is 50 cm from a concave mirror of radius of curvature of magnitude 60 cm.How far is the image from the mirror?
A)19 cm
B)35 cm
C)60 cm
D)75 cm
E)120 cm

Question

Quizplus · Accepted Answer

Using the mirror formula (1/f = 1/u + 1/v), where f is the focal length, u is the distance of the object from the mirror, and v is the distance of the image from the mirror, we can solve for v.

First, we need to find the focal length of the concave mirror. The formula for the focal length of a concave mirror is f = R/2, where R is the radius of curvature. In this case, R = -60 cm (negative because it is a concave mirror), so f = -30 cm.

Now we can plug in the values we have: 
1/-30 = 1/50 + 1/v 
Solving for v, we get: 
v = -75 cm

The negative sign just means that the image is formed behind the mirror. To get the actual distance of the image from the mirror, we just take the absolute value: 
|v| = 75 cm

So the image is 75 cm away from the concave mirror.

An Object Is 50 Cm from a Concave Mirror of Radius