If `H_(C) , H_(K)` and`H_(F)` are heat required to raise the temperature of one gram of water by one degree in Celcius , Kelvin and Fahrenheit temperature scales respectively then :-

Options

A. `H_(K)gtH_(C)gtH_(F)`
B. `H_(F)gtH_(C) gtH_(K)`
C. `H_(K) = H_(C) gt H_(F)`
D. `H_(K) = H_(C) = H_(F)`

Answer

C

Explanation

`H_(C) = msDeltatheta = ms (1)^(@)C`
`H_(K) = msDeltatheta = ms (1)K = ms (1)^(@)C`
`H_(F) = msDeltatheta = ms(1^(@)F) = ms (5//9)^(@)C`
`therefore H_(C) = H_(K) gt H_(T)`