A metallic sphere cools from 50^{circ} C to 40^{circ} C in 300 ,s. If atmospheric temperature around

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10-2.Transmission of Heat

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A metallic sphere cools from $50^{\circ} C$ to $40^{\circ} C$ in $300 \,s.$ If atmospheric temperature around is $20^{\circ} C ,$ then the sphere's temperature after the next $5$ minutes will be close to$.....C$

A

$33$

B

$35$

C

$31$

D

$28$

(JEE MAIN-2020)

Solution

$\frac{50-40}{300}=\beta\left(\frac{50+40}{2}-20\right)$

$\frac{40-T}{300}=\beta\left(\frac{40+T}{2}-20\right)$

$\therefore \quad T=\frac{100}{3}$

Standard 11

Physics

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