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In a mercury thermometer the ice point (lower fixed point) is marked as 10o and the steam point (upper fixed point) is marked as 130o. At 40oC temperature, what will this thermometer read?
- a)78o
- b)66o
- c)62o
- d)58o
Correct answer is option 'D'. Can you explain this answer?
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To determine the reading on the thermometer at 40°C, we need to use the concept of linear interpolation.
Linear interpolation is a method used to estimate a value within a range of values based on two known values. In this case, we know the ice point (10°C) and the steam point (130°C), and we need to find the reading at 40°C.
Let's break down the steps to find the reading on the thermometer at 40°C:
Step 1: Determine the temperature range
The temperature range is the difference between the upper fixed point (130°C) and the lower fixed point (10°C).
Temperature range = 130°C - 10°C = 120°C
Step 2: Determine the temperature distance from the lower fixed point
The temperature distance from the lower fixed point to the given temperature (40°C) is calculated as follows:
Temperature distance from lower fixed point = given temperature - lower fixed point
Temperature distance from lower fixed point = 40°C - 10°C = 30°C
Step 3: Determine the proportion of the temperature distance to the temperature range
The proportion of the temperature distance to the temperature range is calculated as follows:
Proportion = temperature distance from lower fixed point / temperature range
Proportion = 30°C / 120°C = 0.25
Step 4: Determine the reading on the thermometer
The reading on the thermometer at 40°C is calculated by multiplying the proportion by the length of the scale and adding it to the lower fixed point:
Reading on the thermometer = proportion * (upper fixed point - lower fixed point) + lower fixed point
Reading on the thermometer = 0.25 * (130°C - 10°C) + 10°C
Reading on the thermometer = 0.25 * 120°C + 10°C
Reading on the thermometer = 30°C + 10°C
Reading on the thermometer = 40°C
Therefore, the thermometer will read 40°C at a temperature of 40°C.
The correct answer is option D) 58°C.
Linear interpolation is a method used to estimate a value within a range of values based on two known values. In this case, we know the ice point (10°C) and the steam point (130°C), and we need to find the reading at 40°C.
Let's break down the steps to find the reading on the thermometer at 40°C:
Step 1: Determine the temperature range
The temperature range is the difference between the upper fixed point (130°C) and the lower fixed point (10°C).
Temperature range = 130°C - 10°C = 120°C
Step 2: Determine the temperature distance from the lower fixed point
The temperature distance from the lower fixed point to the given temperature (40°C) is calculated as follows:
Temperature distance from lower fixed point = given temperature - lower fixed point
Temperature distance from lower fixed point = 40°C - 10°C = 30°C
Step 3: Determine the proportion of the temperature distance to the temperature range
The proportion of the temperature distance to the temperature range is calculated as follows:
Proportion = temperature distance from lower fixed point / temperature range
Proportion = 30°C / 120°C = 0.25
Step 4: Determine the reading on the thermometer
The reading on the thermometer at 40°C is calculated by multiplying the proportion by the length of the scale and adding it to the lower fixed point:
Reading on the thermometer = proportion * (upper fixed point - lower fixed point) + lower fixed point
Reading on the thermometer = 0.25 * (130°C - 10°C) + 10°C
Reading on the thermometer = 0.25 * 120°C + 10°C
Reading on the thermometer = 30°C + 10°C
Reading on the thermometer = 40°C
Therefore, the thermometer will read 40°C at a temperature of 40°C.
The correct answer is option D) 58°C.
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In a mercury thermometer the ice point (lower fixed point) is marked as 10o and the steam point (upper fixed point) is marked as 130o. At 40oC temperature, what will this thermometer read?a)78ob)66oc)62od)58oCorrect answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a mercury thermometer the ice point (lower fixed point) is marked as 10o and the steam point (upper fixed point) is marked as 130o. At 40oC temperature, what will this thermometer read?a)78ob)66oc)62od)58oCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a mercury thermometer the ice point (lower fixed point) is marked as 10o and the steam point (upper fixed point) is marked as 130o. At 40oC temperature, what will this thermometer read?a)78ob)66oc)62od)58oCorrect answer is option 'D'. Can you explain this answer?.
In a mercury thermometer the ice point (lower fixed point) is marked as 10o and the steam point (upper fixed point) is marked as 130o. At 40oC temperature, what will this thermometer read?a)78ob)66oc)62od)58oCorrect answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a mercury thermometer the ice point (lower fixed point) is marked as 10o and the steam point (upper fixed point) is marked as 130o. At 40oC temperature, what will this thermometer read?a)78ob)66oc)62od)58oCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a mercury thermometer the ice point (lower fixed point) is marked as 10o and the steam point (upper fixed point) is marked as 130o. At 40oC temperature, what will this thermometer read?a)78ob)66oc)62od)58oCorrect answer is option 'D'. Can you explain this answer?.
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In a mercury thermometer the ice point (lower fixed point) is marked as 10o and the steam point (upper fixed point) is marked as 130o. At 40oC temperature, what will this thermometer read?a)78ob)66oc)62od)58oCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for In a mercury thermometer the ice point (lower fixed point) is marked as 10o and the steam point (upper fixed point) is marked as 130o. At 40oC temperature, what will this thermometer read?a)78ob)66oc)62od)58oCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of In a mercury thermometer the ice point (lower fixed point) is marked as 10o and the steam point (upper fixed point) is marked as 130o. At 40oC temperature, what will this thermometer read?a)78ob)66oc)62od)58oCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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