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NEET 2017
Exam
NEET
Year
2017
Subject
Physics
Chapter
Thermodynamics

NEET 2017 · Physics · Thermodynamics

A Carnot's engine having an efficiency of (1)/(10) as heat engine,...

A Carnot's engine having an efficiency of 110\dfrac{1}{10} as heat engine, is used as a refrigerator. If the work done on the system is 10J,10 J, the amount of energy absorbed from the reservoir at lower temperature is

Options

  1. A1J1\text{J}
  2. B90J90\text{J}
  3. C99J99\text{J}
  4. D100J100\text{J}

Correct answer

B. 90J90\text{J}

Step-by-step solution

β=\beta = coefficient of performance of refrigerator

η=η = efficiency of heat engine

β=1−ηη\beta = \dfrac{1 - η}{η}

=1−110110=910110= \dfrac{1 - \dfrac{1}{10}}{\dfrac{1}{10}} = \dfrac{\dfrac{9}{10}}{\dfrac{1}{10}}

β=9\beta = 9

β=Q2W\beta = \dfrac{{Q}_{2}}{W}

∵Q2=∵ {Q}_{2} = heat absorbed from sink and W=W = work done in a cycle

Q2=9×10=90J{Q}_{2} = 9 \times 10 = 90J
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