JEE Main 202523 JanuaryMorning Shift

Exam: JEE Main
Year: 2025
Date: 23 January
Shift: Morning Shift
Subject: Physics
Chapter: Center of Mass, Momentum and Collision

JEE Main 2025 · 23 January · Morning Shift · Physics · Center of Mass, Momentum and Collision

Consider a circular disc of radius 20 cm with centre located at the...

Consider a circular disc of radius 20 cm with centre located at the origin. A circular hole of radius 5 cm is cut from this disc in such a way that the edge of the hole touches the edge of the disc. The distance of centre of mass of residual or remaining disc from the origin will be

Options

A2.0 cm
B1.5 cm
C1.0 cm
D0.5 cm

Correct answer

C. 1.0 cm

Step-by-step solution

\text{ mass of disc }=\mathrm{m}\text{ mass of cut part }=\frac{m}{16} X_{c o m}=\frac{m \times 0-\frac{m}{16} \times 15}{m-\frac{m}{16}}=1 \mathrm{~cm} .

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