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Question

# During the day time, the atmospheric temperature rises by 180F. What is the corresponding rise on Celsius scale?

A
100C
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B
200C
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C
300C
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D
400C
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Solution

## The correct option is A 100C We have relation between Celsius scale and Fahrenheit scale , TC−0100=TF−32180 ,Let the initial atmospheric temperature be TF=xoF ,Hence , TC−0100=x−32180 ,or TC=(5/9)(x−32)oC ,If temperature rises by 18oF ,Then final temperature , T′F=(x+18)oFHence , T′C−0100=x+18−32180 ,or T′C=(5/9)(x−14)oC ,Therefore rise in temperature , T′C−TC=(5/9)(x−14−x+32)=10oC

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