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In a new temperature scale say °ρ, the boiling and freezing points of water at one atmosphere are 100°ρ and 300°ρ respectively. Correlate this scale with the Centigrade scale. The reading of 0°ρ on the Centigrade scale is: 
  • a)
    0°C
  • b)
    50°C
  • c)
    100°C
  • d)
    150°C
Correct answer is option 'D'. Can you explain this answer?
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Given Information

- Boiling point of water at one atmosphere = 100
- Freezing point of water at one atmosphere = 300

Correlation with Centigrade Scale

- The Centigrade scale is also known as the Celsius scale.
- The boiling point of water at one atmosphere on the Celsius scale is 100°C.
- The freezing point of water at one atmosphere on the Celsius scale is 0°C.
- Therefore, the new temperature scale has a difference of 300-100=200 between the boiling and freezing points.
- On the Celsius scale, the difference between the boiling and freezing points is 100-0=100.
- To correlate the two scales, we need to find the temperature difference between 0 on the Celsius scale and the freezing point on the new scale.
- This temperature difference is (300-0)/(100-0) = 3.
- Therefore, the freezing point on the new scale is -3°C (since 0°C is the freezing point on the Celsius scale).
- Similarly, the boiling point on the new scale is (100-300)/(100-0) * (100-0) = -200°C.
- Therefore, the new temperature scale has a range of -200°C to -3°C.
- The reading of 0 on the Celsius scale is equivalent to -150°C on the new scale, since this is the halfway point between the freezing and boiling points.

Conclusion

- The reading of 0 on the Celsius scale is equivalent to -150°C on the new temperature scale where the boiling and freezing points of water at one atmosphere are 100 and 300 respectively.
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In a new temperature scale say °ρ, the boiling and freezing ...
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In a new temperature scale say °ρ, the boiling and freezing points of water at one atmosphere are 100°ρ and 300°ρ respectively. Correlate this scale with the Centigrade scale. The reading of 0°ρ on the Centigrade scale is:a)0°Cb)50°Cc)100°Cd)150°CCorrect answer is option 'D'. Can you explain this answer?
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In a new temperature scale say °ρ, the boiling and freezing points of water at one atmosphere are 100°ρ and 300°ρ respectively. Correlate this scale with the Centigrade scale. The reading of 0°ρ on the Centigrade scale is:a)0°Cb)50°Cc)100°Cd)150°CCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about In a new temperature scale say °ρ, the boiling and freezing points of water at one atmosphere are 100°ρ and 300°ρ respectively. Correlate this scale with the Centigrade scale. The reading of 0°ρ on the Centigrade scale is:a)0°Cb)50°Cc)100°Cd)150°CCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a new temperature scale say °ρ, the boiling and freezing points of water at one atmosphere are 100°ρ and 300°ρ respectively. Correlate this scale with the Centigrade scale. The reading of 0°ρ on the Centigrade scale is:a)0°Cb)50°Cc)100°Cd)150°CCorrect answer is option 'D'. Can you explain this answer?.
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