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QAIPMT-2008-Ph-2247: NEET 2008 Physics - Class 11 AIPMT-2008-Ph-2247 Solution: On a new scale of temperature (which is linear) and called the…

On a new scale of temperature (which is linear) and called the W scale, the freezing and boiling points of water are 39∘W39^\circ W and 239∘W239^\circ W respectively. What will be the temperature on the new scale, corresponding to a temperature of 39∘C39^\circ C on the Celsius scale?

Multiple Choice Options

  • A 200∘W200^\circ W
  • B 139∘W139^\circ W
  • C 78∘W78^\circ W
  • D 117∘W117^\circ W

Step-by-Step Verified Solution

W is the temperature on new scale corresponding to 39�C on �C scale. So, (C � 0)/(100 � 0) = (W � 39)/(239 � 39) _ C/100 = (W � 39)/200 _ W = (C/100) _ 200 + 39 = (39/100) _ 200 + 39 = 78 + 39 = 117 So, temperature on new scale is 117�W corresponding to 39�C.

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