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A mercury thermometer with bulb idealized as a sphere of 1 mm radius is used for measuring the temperature of fluid whose temperature is varying at a fast rate. For mercury
k = 10 W/m K
α = 0.00005 m²/s
h = 10 W/m² K
If the time for the temperature change of the fluid is 3 second, what should be the radius of thermocouple to read the temperature of the fluid?
For the thermocouple material
k = 100 W/m K
α = 0.0012 m²/s
h = 18 W/m² K
Options:
A .  .864 mm
B .  .764 mm
C .  .664 mm
D .  .564 mm
Answer: Option A
Answer: (a)..864 mm

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