On a new scale of temperature (which is linear) and called the W scale, the freezing and boiling points of water are 39°W and 239°W respectively. What will be the temperature on the new scale, corresponding to a temperature of 39°C on the Celsius scale?

Question

On a new scale of temperature (which is linear) and called the W scale, the freezing and boiling points of water are 39°W and 239°W respectively. What will be the temperature on the new scale, corresponding to a temperature of 39°C on the Celsius scale? (A) 78°W (B) 117°W (C) 200°W (D) 139°W

Tardigrade Admin · Accepted Answer

In general, whenever we are to go from any known scale to any unknown scale, then we follow the equation

\frac{( T e m p er a t u re o n kn o w n sc a l e ) - ( L FP f or kn o w n sc a l e )}{( U FP - L FP ) _{kn o w n}}

=

\frac{( T e m p er a t u reo n u nkn o w n sc a l e ) - ( L FP f or u nkn o w n sc a l e )}{( U FP - L FP ) _{u nkn o w n}}

or

\frac{39 - 0}{100 - 0} = \frac{t - 39}{239 - 39}

or

t = 11 7^{\circ} W

Note : LFP - Lower fixed point
UFP - Upper fixed point

Q. On a new scale of temperature (which is linear) and called the W scale, the freezing and boiling points of water are 39 $^{\circ}$ W and 239 $^{\circ}$ W respectively. What will be the temperature on the new scale, corresponding to a temperature of 39 $^{\circ}$ C on the Celsius scale?

78 $^{\circ}$ W

117 $^{\circ}$ W

200 $^{\circ}$ W

139 $^{\circ}$ W

Q. On a new scale of temperature (which is linear) and called the W scale, the freezing and boiling points of water are 39∘W and 239∘W respectively. What will be the temperature on the new scale, corresponding to a temperature of 39∘C on the Celsius scale?

78∘W

117∘W

200∘W

139∘W

Q. On a new scale of temperature (which is linear) and called the W scale, the freezing and boiling points of water are 39 $^{\circ}$ W and 239 $^{\circ}$ W respectively. What will be the temperature on the new scale, corresponding to a temperature of 39 $^{\circ}$ C on the Celsius scale?

78 $^{\circ}$ W

117 $^{\circ}$ W

200 $^{\circ}$ W

139 $^{\circ}$ W