A bucket full of hot water cools from 75- C to 70- C in time T 1- from 70- C to 65- C in time T 2- and from 65- C to 60 O C in time T 3 thenA- T1-T2-T3B- T1T2-T3D- T1-T2-T3

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Dimensional Analysis

A bucket full...

Question

A bucket full of hot water cools from $75^{o} C t o 70^{o} C$ in time $T_{1}$ , from $70^{o} C t o 65^{o} C$ in time $T_{2}$ , and from $65^{o} C t o 60^{O} C$ in time $T_{3}$ then

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C

According to Newton's law of cooling
Rate of cooling $μ$ Mean temperature difference
$\Rightarrow \frac{F a l l i n t e m p e r a t u r e}{T i m e} \propto (\frac{θ_{1} + θ_{2}}{2} - θ_{0})$
$∵ (\frac{θ_{1} + θ_{2}}{2})_{1} > (\frac{θ_{1} + θ_{2}}{2})_{2} > (\frac{θ_{1} + θ_{2}}{2})_{3}$
$\Rightarrow T_{1} < T_{2} < T_{3}$

Suggest Corrections

Similar questions

A bucket full of hot water cools from $75^{\circ} C$ to $70^{\circ} C$

in time $T_{1}$ , from $70^{\circ} C$ to $65^{\circ} C$ in time $T_{2}$ and

from $65^{\circ} C$ to $60^{\circ} C$ in time $T_{3}$ , then

Q. A bucket full of hot water cools from

75^{\circ} C

70^{\circ} C

in time

t_{1}

, from

70^{\circ} C

65^{\circ} C

in time

t_{2}

and from

65^{\circ} C

60^{\circ} C

in time

t_{3}

, then

A bucket full of hot water cools from $75^{\circ} C$ to $70^{\circ} C$ in time $T_{1}$ , from $70^{\circ} C$ to $65^{\circ} C$ in time $T_{2}$ and from $65^{\circ} C$ to $60^{\circ} C$ in time $T_{3}$ . Then

Q. A bucket full of hot water is kept in a room and it cools from

75^{\circ} C

70^{\circ} C

T_{1}

minutes, from

70^{\circ} C

65^{\circ} C

T_{2}

minutes and from

65^{\circ} C

60^{\circ} C

T_{3}

minutes. Then

Q. A vessel full of hot water is kept in a room and it cools from

80

^{o}

C to

75

^{o}

C in

T_{1}

minutes, from

75

^{o}

C to

70

^{o}

C in

T_{2}

minutes and from

70

^{o}

C to

65

^{o}

C in

T_{3}

minutes. Then :

Join BYJU'S Learning Program

A bucket full of hot water cools from 75o C to 70o C in time T1, from 70o C to 65o C in time T2, and from 65o C to 60O C in time T3 then

The correct option is C According to Newton's law of cooling Rate of cooling μ Mean temperature difference ⇒FallintemperatureTime∝(θ1+θ22−θ0) ∵(θ1+θ22)1>(θ1+θ22)2>(θ1+θ22)3 ⇒T1<T2<T3

A bucket full of hot water cools from $75^{o} C t o 70^{o} C$ in time $T_{1}$ , from $70^{o} C t o 65^{o} C$ in time $T_{2}$ , and from $65^{o} C t o 60^{O} C$ in time $T_{3}$ then