Question

Please solve this with method​

Answer 1

Given:

A new temperature scale "M" reads 20° M when water freezes and reads 70° M when water boils.

To find:

Temperature in "M" scale corresponding to 10°C.

Calculation:

In this type of questions , it is best to first derive the relationship between the new scale "M" and Celsius "C".

Always remember the following expression:

For a particular reading in new scale (let x):

$\rm \therefore \: \dfrac{x - Lower \: Point}{Higher \: Point} = constant$

• Here higher point means boiling of water temperature and lower point means freezing of water temperature.

$\rm \therefore \: \dfrac{x - Lower \: Point}{Higher \: Point} = \dfrac{10- Lower \: Point}{Higher \: Point}$

• For Celsius scale, higher point is 100°C and lower point is 0°C.

• Reading temperature will be 10°C, because we are trying to find a temperature in M scale corresponding to that .

$\rm \implies \: \dfrac{x - 20}{70 - 20} = \dfrac{10- 0}{100 - 0}$

$\rm \implies \: \dfrac{x - 20}{70 - 20} = \dfrac{10}{100 }$

$\rm \implies \: \dfrac{x - 20}{50} = \dfrac{10}{100 }$

$\rm \implies \: x - 20 = 5$

$\rm \implies \: x = 25$

So, reading in M scale is 25° M corresponding to 10°C.

Hope It Helps.