# GATE Papers >> EEE >> 2019 >> Question No 15

Question No. 15

The mean-square of a zero-mean random process is $\frac{kT}C$ , where k is Boltzmann’s constant, T is the absolute temperature, and C is a capacitance. The standard deviation of the random process is

##### Answer : (B) $\sqrt{\frac{kT}C}$

Solution of Question No 15 of GATE 2019 EEE Paper

Mean square value = $\frac{\mathrm{kT}}{\mathrm C}$

Standard deviation = $\sqrt{\mathrm{mean}\;\mathrm{square}\;\mathrm{value}}=\sqrt{\frac{\mathrm{kT}}{\mathrm C}}$