An engine has an efficiency of 1/6. When the temperature of sink is reduced by 62^o C, its efficiency is doubled. The temperature of the source is:

124^o C

37^o C

62^o C

99^o C

Solution

99^o C

Efficiency of engine is given by
$straight eta space equals space 1 space minus straight T subscript 1 over straight T subscript 2 straight T subscript 1 over straight T subscript 2 space equals space 1 space minus straight eta space equals space 1 space minus space 1 over 6 space equals space 5 over 6 space.. space left parenthesis straight i right parenthesis In space other space case comma fraction numerator straight T subscript 2 minus 62 over denominator straight T subscript 1 end fraction space equals space 1 minus straight eta space equals space 1 minus 2 over 6 space equals space 2 over 3.. space left parenthesis ii right parenthesis Using space eq space left parenthesis straight i right parenthesis space straight T subscript 2 space minus space 62 space equals space 2 over 3 straight T subscript 1 space equals space 2 over 3 space straight x space 6 over 5 straight T subscript 2 1 fifth straight T subscript 2 space equals space 62 straight T subscript 2 space equals space 310 space straight K space space equals space 310 minus 273 space equals space 37 to the power of straight o straight C here space straight T subscript 1 space equals space 6 over 5 straight T 2 space equals space 6 over 5 space straight x space 310 space equals space 372 space straight K space space equals space 372 minus 273 space equals space 99 to the power of 0 straight C$

Some More Questions From Mechanical Properties of Fluids Chapter

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Mechanical Properties Of Fluids

An engine has an efficiency of 1/6. When the temperature of sink is reduced by 62^o C, its efficiency is doubled. The temperature of the source is:

124^o C

37^o C

62^o C

99^o C

Some More Questions From Mechanical Properties of Fluids Chapter

Is there any relation between uniform circular motion and simple harmonic motion?

What is periodic motion?

Write down the expression for the instantaneous velocity and acceleration of particle vibrating in simple harmonic motion.

How do you define the mean position of particle executing simple harmonic motion?

Define amplitude.

What is the net displacement of the particle executing simple harmonic motion in one complete oscillation?

Are all the periodic motions simple harmonic?

Does the time period of particle vibrating in simple harmonic motion depend upon its displacement?

Where will the particle executing simple harmonic motion have acceleration maximum and speed zero?

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Mechanical Properties Of Fluids

An engine has an efficiency of 1/6. When the temperature of sink is reduced by 62o C, its efficiency is doubled. The temperature of the source is: 124o C 37o C 62o C 99o C

Some More Questions From Mechanical Properties of Fluids Chapter

Is there any relation between uniform circular motion and simple harmonic motion?

What is periodic motion?

Write down the expression for the instantaneous velocity and acceleration of particle vibrating in simple harmonic motion.

How do you define the mean position of particle executing simple harmonic motion?

Define amplitude.

What is the net displacement of the particle executing simple harmonic motion in one complete oscillation?

Are all the periodic motions simple harmonic?

Does the time period of particle vibrating in simple harmonic motion depend upon its displacement?

Where will the particle executing simple harmonic motion have acceleration maximum and speed zero?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

An engine has an efficiency of 1/6. When the temperature of sink is reduced by 62^o C, its efficiency is doubled. The temperature of the source is:

124^o C

37^o C

62^o C

99^o C