The moment of inertia of a uniform semicircular disc of mass $M$ and radius $r$ about a line perpendicular to the plane of the disc passing through its center is:

  • A
    $\frac{1}{4} M r^2$
  • B
    $\frac{2}{5} M r^2$
  • C
    $M r^2$
  • D
    $\frac{1}{2} M r^2$

Explore More

Similar Questions

Which of the following aquatic ferns is used as an excellent biofertilizer?

In the triangle with vertices at $A(6, 3), B(-6, 3)$ and $C(-6, -3)$,the median through $A$ meets $BC$ at $P$,the line $AC$ meets the $x$-axis at $Q$,while $R$ and $S$ respectively denote the orthocentre and centroid of the triangle. Then the correct matching of the coordinates of points in List-$I$ to List-$II$ is
List-$I$ List-$II$
$(i) P$ $(A) (0, 0)$
$(ii) Q$ $(B) (6, 0)$
$(iii) R$ $(C) (-2, 1)$
$(iv) S$ $(D) (-6, 0)$
$(E) (-6, -3)$
$(F) (-6, 3)$

$(i) (ii) (iii) (iv)$

From the figure describing the photoelectric effect,we may infer correctly that:

If the sum of the roots of the equation $x^2 + px + q = 0$ is three times their difference,then which of the following is true?

An alternating voltage $E = 200 \sqrt{2} \sin(100 t)$ is connected to a $1 \mu F$ capacitor through an $AC$ ammeter. The reading of the ammeter shall be: (in $\text{ mA}$)

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo