Easy MCQ +4 / -1 PYQ · JEE Mains 2024

On celcius scale the temperature of body increases by $40^{\circ} \mathrm{C}$. The increase in temperature on Fahrenheit scale is :

  1. A $75^{\circ} \mathrm{F}$
  2. B $70^{\circ} \mathrm{F}$
  3. C $72^{\circ} \mathrm{F}$ Correct answer
  4. D $68^{\circ} \mathrm{F}$

Solution

<p>To find the increase in temperature on the Fahrenheit scale, we use the relationship between the Celsius and Fahrenheit temperature scales. The formula to convert Celsius to Fahrenheit is:</p> <p>$F = \frac{9}{5}C + 32$</p> <p>However, since we are interested in the <strong>increase</strong> in temperature, we can ignore the "+ 32" part of the formula, because this constant does not affect the change in temperature, only the absolute temperatures. Thus, to find the increase in temperature on the Fahrenheit scale, we can use:</p> <p>$\Delta F = \frac{9}{5}\Delta C$</p> <p>Given that the increase in temperature is $40^{\circ}C$, we can substitute this value into the equation:</p> <p>$\Delta F = \frac{9}{5} \times 40^{\circ}C$</p> <p>$\Delta F = 9 \times 8$</p> <p>$\Delta F = 72^{\circ}F$</p> <p>Therefore, the increase in temperature on the Fahrenheit scale is $72^{\circ}F$. So, the correct answer is:</p> <p>Option C $72^{\circ} \mathrm{F}$</p>

About this question

Subject: Physics · Chapter: Thermodynamics · Topic: Zeroth and First Law

This question is part of PrepWiser's free JEE Main question bank. 271 more solved questions on Thermodynamics are available — start with the harder ones if your accuracy is >70%.

Drill 25 more like these. Every day. Free.

PrepWiser turns these solved questions into a daily practice loop. Chapter-wise drills, full mocks, AI doubt chat. No auto-renew.

Start free →