If the roots of the equation $32 x^3-48 x^2+22 x-3=0$ are in arithmetic progression, then the square of the common difference of the roots is

• A

  $\frac{1}{4}$
• Correct answer
  B

  $\frac{1}{16}$
• C

  $\frac{1}{9}$
• D

  $\frac{1}{25}$

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