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1^(@)C rise in temperature is equal to a...

`1^(@)`C rise in temperature is equal to a rise of

A

`1^@F`

B

`9//5^@F`

C

`5//9^@F`

D

`33^@F`

Text Solution

Verified by Experts

The correct Answer is:
B
The relationship between Celsius and Fahrenheit is
`(""^@C)/(5) = (""^@F - 32)/(9)`
If corresponds to `C_1 ""^@C and C_2 ""^@C` the temperatures in Fahrenheit’s scale is `f_1 ""^@F and f_2 ""^@F` then
`(C_1)/(5) = (f_1 - 32)/(9) and (C_2)/(5) = (f_2 - 32)/(9)`
`(C_1)/(5) - (C_2)/(5) = (f_1 - 32)/(9) - (f_2 - 32)/(9)`
`(C_1 - C_2)/(5) = (f_1 - 32- f_2 + 32)/(9)`
`1/5 = (Delta F)/(9) [C_1 - C_2 = 1 and f_1 - f_2 = Delta F]`
` = Delta F = 9//5^@F`
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