An experiment is conducted to determine the focal length (f) of a convex lens using the lens formula. An object is placed at a distance u = 20 cm from the lens, and its image is formed on a screen at a distance v = 40 cm from the lens. Calculate the focal length of the convex lens.
16.67 cm
13.33 cm
20 cm
23 cm
Given values:
Object distance (u) = 20 cm
Image distance (v) = 40 cm
The lens formula relates the object distance, image distance, and focal length (f) of a lens:
Step 1: Substitute the given values into the lens formula:
Step 2: Solve for the focal length f:
Step 3: Calculate the sum in the denominator:
Step 4: Calculate the reciprocal of the sum:
Step 5: Calculate the focal length f:
f = 13.33 cm
The focal length of the convex lens is 13.33 cm.
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