The acceleration due to the gravity on the moon is one-sixth of the acceleration due to gravity on the earth. If the average density of the moon is three fifth that of earth, the moon's radius in terms of earth's radius $R_{\mathrm{e}}$ is

• A

  $0.16\mathrm{ }{R}_{\mathrm{e}}$
• Correct answer
  B

  $0.27\mathrm{ }{R}_{\mathrm{e}}$
• C

  $0.32\mathrm{ }{R}_{\mathrm{e}}$
• D

  $0.36\mathrm{ }{R}_{\mathrm{e}}$

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