Physics, asked by PayalDadhich4411, 10 months ago

A hot solid metal ball of radius R is left for cooling in a room. Rate of cooling is propotional to?

Answers

Answered by abhi178
2

hence, rate of cooling is directly proportional to R²

rate of cooling is given by,

-dT/dt = (4σAe/ms) (T - T_0)

where σ is Stefan's constant, A is cross sectional area of body , e is emissivity , m is mass of body, s is specific heat capacity of body, (T- T_0) is temperature change from body to surroundings.

we know, A ∝ R² [ where R is radius of spherical object ]

so, -dT/dt ∝ A

⇒-dT/dt ∝ R²

hence, rate of cooling is directly proportional to R².

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Answered by Anonymous
1

\huge\bold\purple{Answer:-}

hence, rate of cooling is directly proportional to R²

where σ is Stefan's constant, A is cross sectional area of body , e is emissivity , m is mass of body, s is specific heat capacity of body, (T- T_0) is temperature change from body to surroundings. hence, rate of cooling is directly proportional to R²

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