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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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