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Thermal properties of Matter

Newton’s law of cooling

A liquid in a beaker has temperature (t) at time t and _{0} is

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A liquid in a beaker has temperature $θ (t)$ at time $t$ and $θ_{0}$ is temperature of surroundings, then according to Newton's law of cooling, the correct graph between $lo g_{e} (θ - θ_{0})$ and $t$ is

Name: Video solution 1: A liquid in a beaker has temperature θ(t) at time t and θ0 is temperature of surroundings, then according to Newton's law of cooling, the correct graph between loge(θ−θ0) and t is
Uploaded: 2023-01-23T02:20:14.000Z
Duration: 2 min
Description: Video solution 1: A liquid in a beaker has temperature θ(t) at time t and θ0 is temperature of surroundings, then according to Newton's law of cooling, the correct graph between loge(θ−θ0) and t is

Views: 6,435 students

Updated on: Jan 23, 2023

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2012

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Amelia Discussed

A liquid in a beaker has temperature

θ (t)

at time

t

and

θ_{0}

is temperature of surroundings, then according to Newton's law of cooling, the correct graph between

lo g_{e} (θ - θ_{0})

and

t

5 mins ago

Discuss this question LIVE

5 mins ago

Text solutionVerified

Exp. (a)
According to Newton's law of cooling, rate of fall in temperature is proportional to the difference in temperature of the body with surrounding, i.e.,

- \frac{d θ}{d t} = k (θ - θ_{0}) \Rightarrow \int \frac{d θ}{θ - θ _{0}} = \int - k d t

\Rightarrow ln (θ - θ_{0}) = k t + C

which is a straight line with negative slope.

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Question Text	A liquid in a beaker has temperature $θ (t)$ at time $t$ and $θ_{0}$ is temperature of surroundings, then according to Newton's law of cooling, the correct graph between $lo g_{e} (θ - θ_{0})$ and $t$ is
Updated On	Jan 23, 2023
Topic	Thermal properties of Matter
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	156
Avg. Video Duration	2 min

A liquid in a beaker has temperature $θ (t)$ at time $t$ and $θ_{0}$ is temperature of surroundings, then according to Newton's law of cooling, the correct graph between $lo g_{e} (θ - θ_{0})$ and $t$ is

Text solutionVerified

Filo tutor solutions (1)

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A liquid in a beaker has temperature θ(t) at time t and θ0​ is temperature of surroundings, then according to Newton's law of cooling, the correct graph between loge​(θ−θ0​) and t is

Text solutionVerified

Filo tutor solutions (1)

Questions from JEE Mains 2012 - PYQs

Practice questions from Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

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A liquid in a beaker has temperature $θ (t)$ at time $t$ and $θ_{0}$ is temperature of surroundings, then according to Newton's law of cooling, the correct graph between $lo g_{e} (θ - θ_{0})$ and $t$ is