A metallic sphere cools from 50° C to 40° C in 300 s If atmospheric temperature around is 20° C, then the sphere's temperature after the next 5 minutes will be close to :

Question

A metallic sphere cools from 50° C to 40° C in 300 s If atmospheric temperature around is 20° C, then the sphere's temperature after the next 5 minutes will be close to : (A) 33° C (B) 35° C (C) 31° C (D) 28° C

Tardigrade Admin · Accepted Answer

(50-40/300)=β((50+40/2)-20) (40- T /300)=β((40+ T /2)-20) ∴ T =(100/3)

Q. A metallic sphere cools from $5 0^{\circ} C$ to $4 0^{\circ} C$ in $300 s$ If atmospheric temperature around is $2 0^{\circ} C$ , then the sphere's temperature after the next 5 minutes will be close to :

$3 3^{\circ} C$

$3 5^{\circ} C$

$3 1^{\circ} C$

$2 8^{\circ} C$

$\frac{50 - 40}{300} = β (\frac{50 + 40}{2} - 20)$
$\frac{40 - T}{300} = β (\frac{40 + T}{2} - 20)$
$∴ T = \frac{100}{3}$

Q. A metallic sphere cools from 50∘C to 40∘C in 300s If atmospheric temperature around is 20∘C, then the sphere's temperature after the next 5 minutes will be close to :

33∘C

35∘C

31∘C

28∘C