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If a metallic sphere gets cooled from 62...

If a metallic sphere gets cooled from `62^(@)C` to `50^(@)C` in utesmin10 and in the next utes min10 gets cooled to `42^(@)C` , then the temperature of the surroundings is

A

`30^@` C

B

`36^@` C

C

`26^@` C

D

`20^@` C

Text Solution

Verified by Experts

The correct Answer is:
C
Since, `(T_1-T_2)/(t)=K[(T_1+T_2)/(2)-T_0]`
`implies (62-50)/(10)=K[(62+50)/(2)-T_0]` ….(i)
and `(50-42)/(10)=K[(50+42)/(2)-T_0]` …(ii)
By equation (i) and (ii) -
`(12)/(8)=(56-T_0)/(46 - T_0) implies T_0 = 26^@ C`
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