A metallic sphere of radius $10 cm$ is kept in front of a parallel beam of light of intensity $10^{- 2} {Wm}^{- 2}$ . Calculate the approximate force to the closest integer (in piconewton) exerted by the beam on the sphere.

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Detailed Solution

$F = \frac{I}{c} ({πR}^{2}) = \frac{10^{- 2} \times π \times {(10 \times 10^{- 2})}^{2}}{3 \times 10^{8}} = 1.047 \times 10^{- 12} N \approx 1 \times 10^{- 12} N = 1 pN$

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