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A thermometer initially at 100°C is dipped at t = 0 into an oil bath, maintained at 150°C. If the
recorded temperature is 130°C after 1 minute, then the time constant of thermometer (in min) is
  • a)
    1.98
  • b)
    1.35
  • c)
    1.26
  • d)
    1.09
Correct answer is option 'D'. Can you explain this answer?
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A thermometer initially at 100°C is dipped at t = 0 into an oil ba...
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A thermometer initially at 100°C is dipped at t = 0 into an oil ba...
°F is placed in a room that is kept at a constant temperature of 70°F. After 10 minutes, the thermometer reads 80°F.

Assuming that the thermometer follows a linear relationship with time, we can use the formula for a straight line to calculate the temperature at any given time:

y = mx + b

where y is the temperature, x is the time in minutes, m is the slope (change in temperature per minute), and b is the y-intercept (initial temperature).

We can plug in the values we know:

y = mx + b
80 = m(10) + 100

Solving for m:

m = (80 - 100)/10
m = -2

So the temperature is decreasing by 2°F per minute.

Now we can use the formula to find the temperature at 20 minutes:

y = mx + b
y = -2(20) + 100
y = 60

So after 20 minutes, the thermometer will read 60°F.
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A thermometer initially at 100°C is dipped at t = 0 into an oil bath, maintained at 150°C. If therecorded temperature is 130°C after 1 minute, then the time constant of thermometer (in min) isa)1.98b)1.35c)1.26d)1.09Correct answer is option 'D'. Can you explain this answer?
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A thermometer initially at 100°C is dipped at t = 0 into an oil bath, maintained at 150°C. If therecorded temperature is 130°C after 1 minute, then the time constant of thermometer (in min) isa)1.98b)1.35c)1.26d)1.09Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A thermometer initially at 100°C is dipped at t = 0 into an oil bath, maintained at 150°C. If therecorded temperature is 130°C after 1 minute, then the time constant of thermometer (in min) isa)1.98b)1.35c)1.26d)1.09Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A thermometer initially at 100°C is dipped at t = 0 into an oil bath, maintained at 150°C. If therecorded temperature is 130°C after 1 minute, then the time constant of thermometer (in min) isa)1.98b)1.35c)1.26d)1.09Correct answer is option 'D'. Can you explain this answer?.
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