Answer :
Answer:
The focal length for given convex lens = 0.0714 m
Explanation:
Given data
Radius ([tex]R_{1}[/tex]) = 12.5 cm
Radius ([tex]R_{2}[/tex]) = 16.7 cm
Since the radius of curvature is positive so these are the convex lens.
Now focal length is given by
⇒ [tex]\frac{1}{f}[/tex] = [tex]\frac{1}{R_{1} }[/tex] + [tex]\frac{1}{R_{2} }[/tex]
⇒ Put the values of [tex]R_{1}[/tex] and [tex]R_{2}[/tex] in the above formula we get,
⇒ [tex]\frac{1}{f}[/tex] = [tex]\frac{1}{12.5}[/tex] + [tex]\frac{1}{16.7}[/tex]
⇒ [tex]\frac{1}{f}[/tex] = 0.13988
⇒ f = [tex]\frac{1}{0.13988}[/tex]
⇒ f = 7.14 cm
⇒ f = 0.0714 m
Thus the focal length for given convex lens = 0.0714 m