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Converting a reading on a faulty or new linear temperature scale

This type of question, asked 3 times: 25 Jan 2023, 30 Jan 2023, 11 Apr 2023. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    25 Jan 2023

    99
    The graph between two temperature scales PP and QQ is shown in the figure. Between upper fixed point and lower fixed point there are 150 equal divisions of scale PP and 100 divisions on scale QQ. The relationship for conversion between the two scales is given by: -

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  2. Question 2

    30 Jan 2023

    115
    A faulty thermometer reads 5∘C5^{\circ}C in melting ice and 95∘C95^{\circ}C in steam. The correct temperature on absolute scale will be _____K\_\_\_\_\_K when the faulty thermometer reads 41∘C41^{\circ}C.

  3. Question 3

    11 Apr 2023

    16
    On a temperature scale ' XX '. The boiling point of water is 65∘X65^{\circ}X and the freezing point is −15∘X-15^{\circ}X. Assume that the XX scale is linear. The equivalent temperature corresponding to −95∘X-95^{\circ}X on the Fahrenheit scale would be:

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