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A solid sphere with an initial temperature $T{_1}$ is immersed in a large thermal reservoir of temperature $T{_0}$. The sphere reaches a steady temperature after a certain time $t{_1}$. If the radius of the sphere is doubled, the time required to reach steady-state will be

  1. $t{_1}/4$
  2. $t{_1}/2$
  3. $2{t_1}$
  4. $4{t_1}$
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