A uniform wire of length 3.14 cm is bent in the form of a circle. The shift in its centre of mass is ______ cm.
Physics · Mixed Chapter
JEE Main Practice

Question

A uniform wire of length 3.14 cm is bent in the form of a circle. The shift in its centre of mass is ______ cm.

G1 Physics · Accepted Answer

Step 1: The circumference of the resulting circle is L = 3.14 cm. Step 2: Radius of the circle R = L/(2π) = 3.14/(2 × 3.14) = 0.5 cm. Step 3: The centre of mass of a uniform circular wire lies at its geometrical centre. Step 4: However, 'shift in its centre of mass' relative to the original straight wire needs an explicitly specified way to hold/position the wire as it is bent. The 0.5 cm key is exactly the circle radius, not a uniquely determined CM displacement from the given wording. Source-…