$A$ $20 \, cm$ length of a certain solution causes right-handed rotation of $38^\circ$. $A$ $30 \, cm$ length of another solution causes left-handed rotation of $24^\circ$. The optical rotation caused by a $30 \, cm$ length of a mixture of the above solutions in the volume ratio $1 : 2$ is:

  • A
    Left-handed rotation of $14^\circ$
  • B
    Right-handed rotation of $14^\circ$
  • C
    Left-handed rotation of $3^\circ$
  • D
    Right-handed rotation of $3^\circ$

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