Certain theoretical calculations using quantum and relativistic concepts show that an accelerating observer (with constant linear acceleration) measures a temperature even in empty space. Using dimensional analysis, one can express this temperature in terms of the Boltzmann constant $k_B$, acceleration $a$ and the fundamental constants of special relativity $c$ and of quantum mechanics $h$. If temperatures measured by two observers are in the ratio $T_1 / T_2=9$ then the ratio of their accelerations $a_1 / a_2$ is equal to

• A

  81
• Correct answer
  B

  9
• C

  3
• D

  $\sqrt{3}$

Hence, the correct answer is option: 'B'.