From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through A. 0.25 cm B. 0.50 cm C. 0.75 cm D. 1.00 cm

The correct answer is $\boxed{\text{B) 0.50 cm}}$.

The center of mass (CM) of a circular plate is located at its geometric center. When a circular plate with a diameter of 6 cm is cut out of a circular plate with a diameter of 6 cm, the CM of the remainder shifts towards the center of the cut-out circle. The radius of the cut-out circle is 3 cm, so the diameter of the cut-out circle is 6 cm. The distance between the CM of the original circle and the CM of the cut-out circle is 3 cm. Therefore, the CM of the remainder shifts 0.5 cm towards the center of the cut-out circle.

Option A is incorrect because the CM of the remainder shifts 0.5 cm, not 0.25 cm.

Option C is incorrect because the CM of the remainder shifts 0.5 cm, not 0.75 cm.

Option D is incorrect because the CM of the remainder shifts 0.5 cm, not 1 cm.