Current Electricity Charging Discharging Of Capacitors Question 106

Question: The temperature of the cold junction of thermoโ€‘couple is $ 0{}^\circ C $ and the temperature of hot junction is $ T{}^\circ C $ . The e.m.f. is $ E=16T-0.04T^{2}\mu $ volts. The temperature of inversion is

[EAMCET 1994]

Options:

A) $ 200{}^\circ C $

B) $ 400{}^\circ C $

C) $ 100{}^\circ C $

D) $ 300{}^\circ C $

Show Answer

Answer:

Correct Answer: B

Solution:

Comparing the given equation with $ E=\alpha ,t+\frac{1}{2}\beta ,t^{2} $ We get $ \alpha =16 $ and $ \frac{1}{2}\beta =-0.04,\Rightarrow \beta =-0.08 $

Therefore $ t _{n}=-\frac{\alpha }{\beta }=-\frac{16}{-0.08}=200{}^\circ C $ Also $ t _{i}=2t _{n}-t _{c} $

Therefore $ t _{i}=2\times (200)-0=400{}^\circ C $



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