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Assume that an ordinary mercury-in-glass thermometer follows first order dynamics with a time constant of $10\:s$. It is at a steady state temperature of $0^{\circ}C$. At time $t=0$, the thermometer is suddenly immersed in a constant temperature bath at $100^{\circ}C$. The time required (in $s$) for the thermometer to read $95^{\circ}C$, approximately is

  1. $60$
  2. $40$
  3. $30$
  4. $20$
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