Question

A light bulb filament is one-hundredth of an inch thick, with an allowable error of 2 percent. What is the least allowable thickness of the filament?

Answer 1

0.00998 Inches

Explanation:

Thickness of the light bulb filament = 0.01 Inch

Allowable error = 2%.

2% of 0.01 = 0.02 X 0.01 =0.0002 Inch

Therefore, the allowable thickness of the bulb filament

`=0.01 \pm 0.0002 $ Inches`

We can then calculate the least allowable thickness of the filament as:

`=0.01 - 0.0002 \\=0.00998$ Inches`

The least allowable thickness of the filament is 0.00998 Inches.