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A metal sphere cools from 66° C to 57° C in 10 minutes and to 44° C in the next 10 minutes. The ratio of fall of temperature of first 10 minutes to next ten minutes is ____________. -

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Question

A metal sphere cools from 66° C to 57° C in 10 minutes and to 44° C in the next 10 minutes. The ratio of fall of temperature of first 10 minutes to next ten minutes is ____________.

Options

  • `13/9`

  • `7/6`

  • `9/13`

  • `4/7`

MCQ
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Solution

A metal sphere cools from 66° C to 57° C in 10 minutes and to 44° C in the next 10 minutes. The ratio of fall of temperature of first 10 minutes to next ten minutes is `9/13`.

Explanation:

`"R"_1 = (66 - 57)/10 = 9/10`

`"R"_2 = (57° - 44°)/10 = 13/10`

`therefore "R"_1/"R"_2 = (9//10)/(13//10) = 9/13 `

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Newton’s Law of Cooling
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