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Q.

At what temperature, if any, do the following pairs of readings give the same reading on Fahrenheit and Kelvin scales?

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answer is 574.6.

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Detailed Solution

If the temperature is q at which the reading of two scales is same, then θ−32180=θ−273.15100 i.e. ,θ=574.6∘i. e. , reading on Fahrenheit and Kelvin scales coincides at 574.6°.
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At what temperature, if any, do the following pairs of readings give the same reading on Fahrenheit and Kelvin scales?