engineering recuitment GATE IN Test Series 2023-24 Mock Test Sensors and Industrial Instrumentation Measurement of Temperature Temperature Measurement
The characteristics of a thermometer measuring ambient temperature is \(\frac{{4dTi}}{{dt}} + {T_i} - {T_a} = 0,\) where Ti and Ta are the indicated and ambient temperatures, respectively both in °C, and time in second. The -3dB cut off frequency in the response of the thermometer is
1
\(\frac{1}{{2\pi }}Hz\)
2
4π Hz
3
\(\frac{1}{{8\pi }}Hz\)
4
2π Hz