On a new linear scale of temperature (called W scale) the freezing and boiling points of water are 35°W and 235°W respectively. The temperature on the new scale, corresponding to 70°C temperature on celsius scale, will

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Correct answer: B. 175^ ^ \,W

The relationship between any two linear temperature scales is given by:

\dfrac{W - W_{FP}}{W_{BP} - W_{FP}} = \dfrac{C - C_{FP}}{C_{BP} - C_{FP}}

Since the liquid is water, the freezing and boiling points on the Celsius scale are

0^{}^{\circ}\text{C}

and

100^{}^{\circ}\text{C}

respectively. Substituting the given values:

\dfrac{W - 35}{235 - 35} = \dfrac{C - 0}{100 - 0}

\dfrac{W - 35}{200} = \dfrac{C}{100}

W - 35 = 2C

For

C = 70^{}^{\circ}\text{C}

:

W - 35 = 2 \times 70

W - 35 = 140

W = 175^{}^{\circ}\text{W}

Answer:

175^{}^{\circ}\,\text{W}

On a new linear scale of temperature (called W scale) the freezing...

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