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A uniform circular disc of radius 'R' lies in the X-Y plane with the centre coinciding with the origin. The moment of inertia about an axis passing through a point on the X-axis at a distance x = 2R and perpendicular to the X-Y plane is equal to its moment of inertia about an axis passing through a point on the Y-axis at a distance y = d and parallel to the X-axis in the X-Y plane. The value of 'd' is

  1. fraction numerator 4 R over denominator 3 end fraction
  2. square root of 17 open parentheses R over 2 close parentheses
  3. square root of 15 open parentheses R over 2 close parentheses
  4. square root of 13 open parentheses R over 2 close parentheses

The correct answer is: square root of 17 open parentheses R over 2 close parentheses


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