Question

A new temperature scale uses X as a unit of temperature, where the numerical value of the temperature t_x in this scale is related to the absolute temperature T by t_x = 3T + 300. If the specific heat of a material using this unit is 1400 J kg¹ X^–1 its specific heat in the S.I. system of units is- c 

 (A) 4200 J kg^–1 K^–1 

 (B) 1400 J kg^–1 K^–1 

 (C) 466.7 J kg^–1 K^–1 

 (D) impossible to determine from the information provided  

Answer 1

Correct Option :- (A) 4200 J kg^–1 K^–1

Explanation :-

t_x = 3T + 300 

 If in SI system the temperature has to be changed by one unit then in the given side the temperature has to be changed by three units 

 so specific heat in SI scale = 3(1400) ⇒ 4200 J/(kg^– K^–)