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Two identical beakers A and B contain eq...

Two identical beakers `A` and `B` contain equal volumes of two different liquids at `60^(@)C` each and left to cool down. Liquid in A has density of `8xx10^(2)kg//m^(2)` and specific heat of `2000J kg^(-1)K^(-1)` while liquid in `B` has density of `10^(3)kg m^(-3)` and specific heat of `400J kg^(-1)K^(-1)`. Which of the following best describes their temperature versus time graph schematically? (assume the emissivity of both the beakers to be the same)

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
B
`"Mass"_A=Vxx8xx10^(2)" mass" _B=Vxx10^(3)`
`:. " mass _B gtmass_A`
`|("msd"theta)/(dt)|=k|(theta-theta_0)|" " implies" "|("d"theta)/(dt)|=k/(ms)|theta-theta_0|`
`m_As_A=Vxx8xx10^2xx2000 " "m_Bs_B=Vxx10^3xx4000`
`:.m_Bs_Bgtm_As_A " ":.` slopw of A will greater in magnitude at t = 0
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