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The freezing point on a thermometer is m...

The freezing point on a thermometer is marked as `-20^(@)` and the boiling point as `130^(@)`. A temperature of human body `(34^(@)C)` on this thermometer will be read as

A

`31^(@)`

B

`51^(@)`

C

`20^(@)`

D

None of these

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The correct Answer is:
To solve the problem, we need to determine how the temperature of the human body (34°C) will be represented on a thermometer that has a freezing point of -20°C and a boiling point of 130°C. ### Step-by-Step Solution: 1. **Identify the Scale Range**: - The freezing point of water is marked as -20°C. - The boiling point of water is marked as 130°C. - Therefore, the range of the thermometer is from -20°C to 130°C. 2. **Calculate the Actual Temperature Range**: - The actual temperature range for water is from 0°C (freezing point) to 100°C (boiling point). - The thermometer shows a range of 130 - (-20) = 150°C. 3. **Determine the Scale Factor**: - The actual temperature range (0°C to 100°C) corresponds to the thermometer range (-20°C to 130°C). - The scale factor can be calculated as follows: \[ \text{Scale Factor} = \frac{\text{Thermometer Range}}{\text{Actual Range}} = \frac{150}{100} = 1.5 \] 4. **Convert the Human Body Temperature**: - To find out what 34°C will read on this thermometer, we apply the scale factor: \[ \text{Reading on Thermometer} = \text{Actual Temperature} \times \text{Scale Factor} = 34 \times 1.5 = 51 \] 5. **Adjust for the Thermometer's Starting Point**: - Since the thermometer starts at -20°C, we need to adjust the reading: \[ \text{Final Reading} = 51 + 20 = 71 \] ### Conclusion: The temperature of the human body (34°C) will be read as 71°C on the thermometer.
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