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NEET Physics : System of Particles and Rotational Motion

Multiple Choice Questions

91.

Side of an equilateral triangle is l. Three point masses each of magnitude m, are placed at the three vertices of the triangle. Moment of inertia of this system about one side of the triangle as axis is given by

$\frac{3 m l^{2}}{4}$
$\frac{4}{3} {ml}^{2}$
$\frac{3}{2} {ml}^{2}$
$\frac{2}{3} {ml}^{2}$

92.

Three equal weights of 3 kg each are hanging on a string passing over a frictionless pulley as shown in figure. The tension in the string between masses II and III will be ( Take g = 10 m/sec² )

5 N
6 N
10 N
20 N

93.

Which of the following pairs does not have same dimensions ?

impulse and momentum
moment of inertia and moment of force
angular momentum and Planck's constant
work and torque

94.

Four holes of radius Rare cut from a thin square plate of side 4R and mass M. The moment of inertia of the remaining portion about z-axis is

$\frac{π}{12} {MR}^{2}$
$(\frac{4}{3} - \frac{π}{4}) {MR}^{2}$
$(\frac{4}{3} - \frac{π}{6}) {MR}^{2}$
$(\frac{8}{3} - \frac{10 π}{16}) {MR}^{2}$

95.

What is moment of inertia of a cylinder of radius r, along its height?

mr²
mr²/2
2 mr²/5
mr²/5

96.

In the diagram shown below all three rods are of equal length Land equal mass M. The system is rotated such that rod B is the axis. What is the moment of inertia of the system?

$\frac{{ML}^{2}}{6}$
$\frac{4}{3}$ ML²
$\frac{{ML}^{2}}{3}$
$\frac{2}{3} {ML}^{2}$

97.

A cylindrical wire is twisted with an angle θ, what is torsion produced in it?

$\frac{C}{θ}$
Cθ
$\frac{C}{θ^{2}}$
Cθ^3/2

98.

Assertion: A hollow shaft is found to be stronger than a solid shaft made of same material.

Reason: The torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same size and material.

If both assertion and reason are true and reason is the correct explanation of assertion
If both assertion and reason are true but reason is not the correct explanation of assertion
If assertion is true but reason is false
If both assertion and reason are false

99.

Given $\vec{ω} = 2 \hat{k}$ and $\vec{r} = 2 \hat{i} + 2 \hat{j}$ . Find the linear velocity.

$4 \hat{i} + 4 \hat{j}$
$4 \hat{i} + 4 \hat{j}$
$- 4 \hat{i} + 4 \hat{j}$
$- 4 \hat{i} - 4 \hat{j}$

100.

Assertion: Impulsive force is large and acts for a short time.

Reason: Finite change in momentum should be produced by the force.

If both assertion and reason are true and reason is the correct explanation of assertion
If both assertion and reason are true but reason is not the correct explanation of assertion
If assertion is true but reason is false
If both assertion and reason are false

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NEET Physics : System of Particles and Rotational Motion

Multiple Choice Questions