Chapter 18, Problem 4STP

To determine

To Choose: The correct option.

Answer to Problem 4STP

Option C

Explanation of Solution

Given:

Object distance, $u=1.86\text{m}$

Focal length of the convex lens, $f=0.0470\text{m}$

Formula used:

Lens formula:

  $\frac{1}{v}+\frac{1}{u}=\frac{1}{f}$

Here, v is the image distance, u is the object distance and fis the focal length.

Calculations:

Substitute the values:

  $\begin{array}{l}\frac{1}{v}+\frac{1}{u}=\frac{1}{f}\\ \frac{1}{v}+\frac{1}{1.86}=\frac{1}{0.0470}\\ \frac{1}{v}=-\frac{1}{1.86}+\frac{1}{0.0470}\\ v=\frac{-1.86\times 0.0470}{-1.86+0.0470}\\ v=0.0482\text{m = 4}\text{.82 cm}\end{array}$

Conclusion:

Thus, option C is correct.