The temperature in the Fahrenheit scale corresponding to 253 K is-

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UP TGT Science 2011 Official Paper (held on 2016)
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  1. -4° F
  2. 4° F
  3. 12° F
  4. 36° F

Answer (Detailed Solution Below)

Option 1 : -4° F
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Detailed Solution

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Concept:

Celsius scale:

  • In this scale lower fixed point (ice point) is taken  and upper fixed point  (steam point) is taken 100°.
  • The temperature measured on this scale all in degree Celsius (°C).

Fahrenheit scale:

  • This scale of temperature has lower fixed point (ice point) as 32° F and upper fixed point  (steam point)as 212° F.
  • The change in temperature of 1° F corresponds to a change of less than 1° on Celsius scale.

Kelvin scale:

  • The Kelvin temperature scale is also known as thermodynamic scale. The triple point of water is also selected to be the zero of scale of temperature.
  • The temperatures measured on this scale are in Kelvin (K).

All these temperatures are related to each other by the following relationship –

\(\frac{{F - 32^\circ }}{9} = \frac{C}{5} = \frac{{K - 273}}{5}\)
Calculation: 
Given – the temperature on the Kelvin scale is in 253 K.

The relation between Fahrenheit and Kelvin is

\(\frac{{F - 32^\circ }}{9} = \frac{{K - 273}}{5}\)

\(\therefore \frac{{F - 32^\circ }}{9} = \frac{{253 - 273}}{5}\)

F = - 4° F

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