Home
Class 11
PHYSICS
A bucket full of hot water cools from 75...

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^(@)C` in time `T_(3)`, then

A

`t_1=t_2=t_3`

B

`t_1 gt t_2 gt t_3`

C

`t_1 lt t_2 lt t_3`

D

`t_1 gt t_2 lt_3`

Text Solution

Verified by Experts

The correct Answer is:
C
Rate of cooling  Mean temperature difference
`implies ("Fall in temperature (T)")/("Time (t)") prop ((T_1+T_2)/(2) -T_0)`
`therefore ((T_1 +T_2)/(2))_1 gt ((T_1+T_2)/(2))_2 gt ((T_1+T_2)/(2))_3`
`implies `t_1 lt t_2 lt t_3`
Promotional Banner

Topper's Solved these Questions

  • TRANSMISSION OF HEAT

    ERRORLESS|Exercise PAST YEARS QUESTIONS|21 Videos

  • TRANSMISSION OF HEAT

    ERRORLESS|Exercise Assertion & Reason|22 Videos

  • TRANSMISSION OF HEAT

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Radiation (Stefan.s law))|25 Videos

  • THERMOMETRY, THERMAL EXPANSION AND CALORIMETRY

    ERRORLESS|Exercise ASSERTION & REASON|10 Videos

  • UNITS, DIMENSIONS AND MEASUREMENT

    ERRORLESS|Exercise ASSERTION & REASON |17 Videos

Similar Questions

Explore conceptually related problems

A beaker full of hot water is kept in a room and it cools from 80^(@)C to 75^(@)C in t_(1) mminutes , from 75^(@)C to 65^(@)C in t_(2) minutes and from 70^(@)C to 65^(@)C in t_(3) min, then

A vessel full of hot water is kept in a room and it cools from 80^(@)C to 75^(@)C in T_(1) minutes, from 75^(@)C to 70^(@)C in T_(2) minutes and from 70^(@)C to 65^(@)C in T_(3) minutes Then .

A substance cools from 75^@C to 70^@C in T_1 minute, from 70^@C to 65^@C in T_2 minute and from 65^@C to 60^@C in T_3 minute, then.

A body cools from 70^(@)C to 60^(@)C in 8minute The same body cools from 60^(@)C to 50^(@)C in .

A bucket full of hot water is kept in a room and it cools from 75°C to 70°C in T1 minutes, from 70°C to 65°C in T_2 minutes and from 65°C to 60°C in T_3 minutes. Then –

A body cools down from 65^(@)C to 60^(@)C in 5minutes. It will cool down from 60^(@)C to 55^(@)C in

A body in a room cools from 85^(@)C to 80^(@)C in 5 minutes. Then the time taken to cool from 80^(@)C to 75^(@)C is

A body takes 4 minutes to cool from 100^(@)C to 70^(@)C . To cool from 70^(@)C to 40^(@)C it will take (room temperture os 15^(@)C )

A container contains hot water at 100^(@)C . If in time T_(1) temperature falls to 80^(@)C and in time T_(2) temperature falls to 60^(@)C from 80^(@)C , then

A liquid cools down from 70^(@)C to 60^(@)C in 5 minutes. The time taken to cool it from 60^(@)C to 50^(@)C will be