Question

The first-order thermometer used has a time constant of 50 s. If it is subjected to a sinusoidal input cycling at 0.002 Hz, then the time lag produced in the instrument will be:

• A. 0.0025 s
• B. 0.001 s
• C. 0.002 s
• D. 0.004 s

Hint:

Analyze input frequency relative to time constants for accurate lag predictions.

Answer 1

The Correct Option is C

Time lag in first-order systems depends on the time constant and the frequency of input. Calculation involves detailed system dynamics, and the result here is given as 0.002 s.