   Chapter 10, Problem 71P ### University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185

#### Solutions ### University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185
Textbook Problem

# One half the γ rays from 99 m T c are absorbed by a 0.170-mm-thicklead shielding. Half of the y rays that pass through the first layer of lead are absorbed in a second layer of equal thickness. What thickness of lead will absorb all but one in 1000 of these γ rays?

To determine

To find:

Thickness of lead absorbed in 1000 of γ -rays.

Explanation

Given data:

The gamma rays from 99mTc are absorbed by a 0.170 mm thick lead shielding.

Formula used:

The expression for a total thickness of the layer is given as,

D=x×L thickness

Where x is the number of layers.

Calculation:

The rays that pass through the first layer of lead are absorbed in the second layer of equal thickness.

Considering the number of layer present as x,

For 1000 rays

(12)x=11000

Solving for x;

xln(12)=ln(11000)

x(0

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