Refer to Exercise 7. Assume that p = 4.3 ± 0.1 cm and q =2.1 ± 0.2 cm. Estimate f, and find the relative uncertainty in the estimate.

Problem 7E

The lens equation says that if an object is placed at a distance p from a lens, and an image is formed at a distance q from the lens, then the focal length f satisfies the equation 1/f = 1/p+1/q. Assume that p = 2.3 ± 0.2 cm and q = 3.1 ± 0.2 cm.

a. Estimate f, and find the uncertainty in the estimate.

b. Which would provide a greater reduction in the uncertainty in f: reducing the uncertainty in p to 0.1 cm or reducing the uncertainty in q to 0.1 cm?

Step 1 of 2:

Here the experiment is to estimate the focal length of a lens. The focal satisfies the equation

=+

where p denotes the distance of the object placed from the lens and q denotes the distance at which image is formed.

Also it is given that p=4.3,q=2.1,=0.1,=0.2.

Using these we have to estimate f and relative uncertainty in the estimate.