1
IIT-JEE 2007 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1

STATEMENT 1

If there is no external torque on a body about its center of mass, then the velocity of the center of mass remains constant.

Because

STATEMENT 2

The linear momentum of an isolated system remains constant.

A
Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
B
Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
C
Statement-1 is True, Statement-2 is False.
D
Statement-1 is False, Statement-2 is True.
2
IIT-JEE 2006
MCQ (Single Correct Answer)
+3
-1

A solid sphere of radius $R$ has moment of inertia $I$ about its geometrical axis. If it is melted into a disc of radius $r$ and thickness $t$. If its moment of inertia about the tangential axis (which is perpendicular to plane of the disc), is also equal to $I$, then the value of $r$ is equal to

IIT-JEE 2006 Physics - Rotational Motion Question 1 English
A

$\frac{2}{\sqrt{15}} R$

B

$\frac{2}{\sqrt{5}} R$

C

$\frac{3}{\sqrt{15}} R$

D

$\frac{\sqrt{3}}{\sqrt{15}} R$

3
IIT-JEE 2001
MCQ (Single Correct Answer)
+2
-1

One quarter section is cut from a uniform circular disc of radius $R$. This section has a mass $M$. It is made to rotate about a line perpendicular to its plane and passing through the centre of the original disc. Its moment of inertia about the axis of rotation is

IIT-JEE 2001 Physics - Rotational Motion Question 2 English
A

$\dfrac{1}{2} MR^2$

B

$\dfrac{1}{4} MR^2$

C

$\dfrac{1}{8} MR^2$

D

$\sqrt{2} MR^2$

4
IIT-JEE 2000
MCQ (Single Correct Answer)
+2
-1

A thin wire of length $L$ and uniform linear mass density $\rho$ is bent into a circular loop with centre at $O$ as shown. The moment of inertia of the loop about the axis $XX'$ is:

IIT-JEE 2000 Physics - Rotational Motion Question 3 English
A

$\frac{\rho L^3}{8\pi^2}$

B

$\frac{\rho L^3}{16\pi^2}$

C

$\frac{5\rho L^3}{16\pi^2}$

D

$\frac{3\rho L^3}{8\pi^2}$

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