GATE IN 2011 Question Paper (13-Feb-2011) (Shift-2)

The level of water, stored in a truncated conical bath, is measured by a gamma-ray radiation sensor. The initial level of water is $1m$, and the level is increasing due to water inflow at the constant rate of $0.125m^3/s$. Assume mass absorption coefficient of water is $77\times 10^{-4}{m}^2/kg$ and density of water is $1000kg/m^3$.



(Figure is not to scale.)

M1, M2 and M3 in the circuit shown below are matched N-channel enhancement mode MOSFETS operating in saturation mode, forward voltage drop of each diode is $0.7V$, reverse leakage current of each diode is negligible and the opamp is ideal.

M1, M2 and M3 in the circuit shown below are matched N-channel enhancement mode MOSFETS operating in saturation mode, forward voltage drop of each diode is $0.7V$, reverse leakage current of each diode is negligible and the opamp is ideal.