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NEET 2014
Exam
NEET
Year
2014
Subject
Physics
Chapter
Thermal Properties of Matter

NEET 2014 · Physics · Thermal Properties of Matter

Certain quantity of water cools from 70 ^ o C to 60 ^ o C in the...

Certain quantity of water cools from 70oC{70}^{o}C to 60oC{60}^{o}C in the first 55 minutes and to 54oC{54}^{o}C in the next 55 minutes. The temperature of the surroundings is:

Options

  1. A45oC{45}^{o}C
  2. B20oC{20}^{o}C
  3. C42oC{42}^{o}C
  4. D10oC{10}^{o}C

Correct answer

A. 45oC{45}^{o}C

Step-by-step solution

60−705=−K(65−T)\dfrac{60 - 70}{5} = - K\left(65 - T\right)
54−605−K(57−T)\dfrac{54 - 60}{5} - K\left(57 - T\right)
−10−6=65−T57−T\dfrac{- 10}{- 6} = \dfrac{65 - T}{57 - T}
285−5T=195−3T285 - 5T = 195 - 3T
90=2T90 = 2T
T=45oT = {45}^{o}
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