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A $\text{J}$-type thermocouple has an output voltage $V_{\theta }=\left ( 13650+50\: \theta _{x} \right ) \mu \;V$, where $\theta _{x}$ is the junction temperature in Celsius ($^{\circ}C$). The thermocouple is used with reference junction compensation, as shown in the figure. The Instrumentation amplifier used has a gain $G=20$. If $\theta _{Ref}$ is $1 ^{\circ}C$, for an input $\theta _{x}$ of $100 ^{\circ}C$, the output $V_{o}$ of the instrumentation amplifier in millivolt is

  1. $\text{98 mV}$
  2. $\text{99 mV}$
  3. $\text{100 mV}$
  4. $\text{101 mV}$
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