Chapter 34: Q 62 (page 993)

The illumination lights in an operating room use a concave mirror to focus an image of a bright lamp onto the surgical site. One such light uses a mirror with a 30 cm radius of curvature. If the mirror is 1.2 m from the patient, how far should the lamp be from the mirror?

Short Answer

Expert verified

The distance of lamp from the mirror is 17 cm.

Step by step solution

Step 1. Given information is :Mirror is concaveRadius of curvature of mirror R = 30 cmDistance between mirror and the patient = 1.2 m

We need to find out the distance of lamp from the mirror.

Step 2. Finding Focal length and then using Mirror Formula.

Focal Length :

$f = \frac{R}{2} f = \frac{30 c m}{2} f = 15 c m$

Using Formula :

$\frac{1}{s} + \frac{1}{s'} = \frac{1}{f} \frac{1}{s} = \frac{1}{f} - \frac{1}{s'} \frac{1}{s} = \frac{s' - f}{f s'} s = \frac{f s'}{s' - f} s = \frac{(15 c m) (120 c m)}{120 c m - 15 c m} s = 17 c m$

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The illumination lights in an operating room use a concave mirror to focus an image of a bright lamp onto the surgical site. One such light uses a mirror with a 30 cm radius of curvature. If the mirror is 1.2 m from the patient, how far should the lamp be from the mirror?

Short Answer

Step by step solution

Step 1. Given information is :Mirror is concaveRadius of curvature of mirror R = 30 cmDistance between mirror and the patient = 1.2 m

Step 2. Finding Focal length and then using Mirror Formula.

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