The earth receives $8.4 J / minute / m^{2}$ energy from the sun. If the solar energy in $10 \times 10^{4} m^{2}$ area is concentrated in a cup filled with 100g water at $0 ° C$ , the time (in sec) after which water will start boiling is:

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answer is C.

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Detailed Solution

$E n e r g y r e c e i v e d b y s u n = 8.4 J / \min - m t^{2}$

$A r e a = 10 \times 10^{4} m t^{2}$

$∴ \frac{8.4 \times 10^{5}}{60} = \frac{E}{t} = \frac{m s Δ θ}{t} \Rightarrow \frac{8.4 \times 10^{5}}{60} = \frac{0.1 \times 4200 \times (100)}{t} \Rightarrow t = 3 \sec$

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