Question

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 be

• A. \(210^{\circ }\text{W}\)
• B. \(175^{\circ }\text{W}\)
• C. \(105^{\circ }\text{W}\)
• D. \(70^{\circ }\text{W}\)

Hint:

For two linear scales, the reading above the freezing point divided by the fundamental interval is equal on both scales.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept
For two linear temperature scales, \(\dfrac{\text{reading}-\text{freezing point}}{\text{boiling point}-\text{freezing point}}\) is the same on both.

Step 2: Set up
\(\dfrac{W-35}{235-35}=\dfrac{C-0}{100-0}\)

Step 3: Calculation
With \(C=70\): \(\dfrac{W-35}{200}=0.7\), so \(W-35=140\) and \(W=175\).

Final Answer:
70°C corresponds to 175°W. \[ \boxed{\text{(B) }175^{\circ}\text{W}} \]