Question

A new scale N of temperature is divided in such a way that the freezing point of water is 100°N
the boiling point is 400°N. The Celsius and the new temperature scale readings will be same at
(a) -40°C
(b) 40°C
(c) -50°C
(d) 50°C

please can someone do this step by step ( urgent))
please do this​

Answer 1

Answer:

Sorry I can't explain it.

Answer 2

Given :

In new scale N :

The freezing point of water is 100°N .

The boiling point is 400°N.

To find :

Where in Celsius and the new temperature scale readings will be same .

Solution :

We know , freezing point of water in Celsius is 0° and the boiling point is 100° .

Therefore :

$\dfrac{T_c-0}{100-0}=\dfrac{T_n-100}{400-100}$

We need to find the temperature in Celsius where  .

Therefore , $T_c=T_n$

$\dfrac{T_c}{100}=\dfrac{T_c-100}{300}\\\\T_c=-50^{\circ}C$

So , The Celsius and the new temperature scale readings will be same at -50°C .

Therefore , option ( C ) is correct .

Learn More :

Thermodynamics

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