MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Deducing Mathematically

For an engine...

Question

For an engine operating between the temperature $t_{1}^{o} C$ and $t_{2}^{o} C$ , the efficiency will be

A

\frac{t_{1} - t_{2}}{t_{1}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

\frac{t_{1} - t_{2}}{t_{1} + 273}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

\frac{t_{2} + 273}{t_{1} + 273}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

\frac{t_{2}}{t_{1}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D $\frac{t_{1} - t_{2}}{t_{1} + 273}$
The efficiency of the cycle $η$ = $1 - \frac{T_{2}}{T_{1}}$
$T_{2}$ = $t_{2}$ + 273
$T_{1}$ = $t_{1}$ + 273
$∴$ 1 - $\frac{T_{2}}{T_{1}}$ = 1 - $\frac{t_{2} + 273}{t_{1} + 273}$ = $\frac{t_{1} - t_{2}}{t_{1} + 273}$

Suggest Corrections

thumbs-up

0

Similar questions

Q. A carnot engine operating between temperature

T_{1}

T_{2}

has the efficiency of

\frac{1}{6}

. When the temperature

T_{2}

is lowered by 62K, it efficiency becomes

\frac{1}{3}

, Then temperature

T_{1}

T_{2}

respectively are

Q. A Carnot engine operating between temperatures

T_{1}

T_{2}

\frac{1}{6}

T_{2}

62 K

, its efficiency increases to

\frac{1}{3}

T_{1}

T_{2}

are, respectively :

Q. A Carnot engine operating between temperatures

T_{1}

T_{2}

has efficiency 0.2. When

T_{2}

is reduced by 60 K, its efficiency increases to 0.4. Then,

T_{1}

T_{2}

are respectively

I, I I, I I I

are three isotherms respectively at

T_{1}, T_{2}

T_{3}

. The temperatures will be in the order:

Q. A carnot engine operating between temperature

T_{1}

T_{2}

has the efficiency of

\frac{1}{6}

. When the temperature

T_{2}

is lowered by 62K, it efficiency becomes

\frac{1}{3}

, Then temperature

T_{1}

T_{2}

respectively are

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Rotational Kinematics

PHYSICS

Watch in App

explore_more_icon

Explore more

Deducing Mathematically

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon