Inter-Conversion of Temperature in Different Scales
If a graph is...
Question
If a graph is plotted by taking the temperature in Fahrenheit along the Y-axis, and the corresponding temperature in Celsius along the X-axis, then the graph will be a straight line,
A
having a positive intercept on the Y-axis
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B
having a positive intercerpt on the X-axis
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C
passing through the origin
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D
having negative intercepts on the X and Y axes.
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Solution
The correct option is A having a positive intercept on the Y-axis
We know, relation between Celsius-Temperature Scale and Fahrenheit-Temperature scale as T°C=(T+32)°F
So, if we plot graph by taking temperature in °F along Y− axis and using (1) we have
⇒0°C=32°F
So, it will intercept Y− axis. (+ve)
Hence, the answer is having a positive intercept on the Y− axis.