1
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

In case of rotational dynamics, which one of the following statements is correct?

[$\vec{\omega}=$ angular velocity, $\overrightarrow{\mathrm{v}}=$ linear velocity

$\overrightarrow{\mathbf{r}}=$ radius vector, $\vec{\alpha}=$ angular acceleration

$\overrightarrow{\mathrm{a}}=$ linear acceleration, $\overrightarrow{\mathrm{L}}=$ angular momentum

$\overrightarrow{\mathrm{p}}=$ linear momentum, $\bar{\tau}=$ torque,

$\overrightarrow{\mathrm{f}}=$ centripetal force]

A
$\overrightarrow{\mathbf{v}}=\overrightarrow{\mathbf{r}} \times \vec{\omega}, \overrightarrow{\boldsymbol{\alpha}}=\overrightarrow{\mathbf{r}} \times \vec{a}, \vec{L}=\overrightarrow{\mathrm{r}} \times \overrightarrow{\mathrm{p}}, \vec{\tau}=\overrightarrow{\mathrm{f}} \times \overrightarrow{\mathrm{r}}$
B
$\overrightarrow{\mathrm{v}}=\vec{\omega} \times \overrightarrow{\mathrm{r}}, \vec{\alpha}=\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{r}}, \overrightarrow{\mathrm{L}}=\overrightarrow{\mathrm{p}} \times \overrightarrow{\mathrm{r}}, \vec{\tau}=\overrightarrow{\mathrm{r}} \times \overrightarrow{\mathrm{f}}$
C
$\overrightarrow{\mathrm{v}}=\vec{\omega} \times \overrightarrow{\mathrm{r}}, \vec{\alpha}=\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{r}}, \overrightarrow{\mathrm{L}}=\overrightarrow{\mathrm{r}} \times \overrightarrow{\mathrm{p}}, \vec{\tau}=\overrightarrow{\mathrm{r}} \times \overrightarrow{\mathrm{f}}$
D
$\overrightarrow{\mathrm{v}}=\vec{\omega} \times \overrightarrow{\mathrm{r}}, \vec{\alpha}=\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{r}}, \overrightarrow{\mathrm{L}}=\overrightarrow{\mathrm{p}} \cdot \overrightarrow{\mathrm{r}}, \vec{\tau}=\overrightarrow{\mathrm{r}} \times \overrightarrow{\mathrm{f}}$
2
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Ratio of radius of gyration of a circular disc to that of circular ring each of same mass and radius around their respective axes is

A
$\sqrt{2}: 1$
B
$\sqrt{2}: \sqrt{3}$
C
$\sqrt{3} : \sqrt{2}$
D
$1: \sqrt{2}$
3
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Two circular loops P and Q of radii ' r ' and ' nr ' are made respectively from a uniform wire. Moment of inertia of loop Q about its axis is four times that of loop P about its axis. The value of ' $n$ ' is

A
$(2)^{1 / 3}$
B
$(2)^{2 / 3}$
C
$(2)^{3 / 4}$
D
$(2)^{1 / 4}$
4
MHT CET 2024 2nd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A solid sphere of mass ' $m$ ', radius ' $R$ ', having moment of inertia about an axis passing through center of mass as 'I' is recast into a disc of thickness ' $t$ ' whose moment of inertia about an axis passing through the rim (edge) \& perpendicular to plane remains 'I'. Then the radius of disc is

A
$\frac{2 \mathrm{R}}{\sqrt{15}}$
B
$\left(\sqrt{\frac{2}{15}}\right) \mathrm{R}$
C
$\frac{4 \mathrm{R}}{\sqrt{15}}$
D
$\frac{\mathrm{R}}{4}$
MHT CET Subjects
EXAM MAP