1
JEE Main 2020 (Online) 6th September Evening Slot
+4
-1
The linear mass density of a thin rod AB of length L varies from A to B as
$$\lambda \left( x \right) = {\lambda _0}\left( {1 + {x \over L}} \right)$$, where x is the distance from A. If M is the mass of the rod then its moment of inertia about an axis passing through A and perpendicular to the rod is :
A
$${2 \over 5}M{L^2}$$
B
$${5 \over {12}}M{L^2}$$
C
$${7 \over {18}}M{L^2}$$
D
$${3 \over 7}M{L^2}$$
2
JEE Main 2020 (Online) 6th September Morning Slot
+4
-1
Four point masses, each of mass m, are fixed at the corners of a square of side $$l$$. The square is rotating with angular frequency $$\omega$$, about an axis passing through one of the corners of the square and parallel to its diagonal, as shown in the figure. The angular momentum of the square about this axis is :
A
3m$$l$$2$$\omega$$
B
4m$$l$$2$$\omega$$
C
m$$l$$2$$\omega$$
D
2m$$l$$2$$\omega$$
3
JEE Main 2020 (Online) 6th September Morning Slot
+4
-1
Shown in the figure is a hollow icecream cone (it is open at the top). If its mass is M, radius of its top, R and height, H, then its moment of inertia about its axis is :
A
$${{M\left( {{R^2} + {H^2}} \right)} \over 3}$$
B
$${{M{R^2}} \over 2}$$
C
$${{M{R^2}} \over 3}$$
D
$${{M{H^2}} \over 3}$$
4
JEE Main 2020 (Online) 6th September Morning Slot
+4
-1
A satellite is in an elliptical orbit around a planet P. It is observed that the velocity of the satellite when it is farthest from the planet is 6 times less than that when it is closest to the planet. The ratio of distances between the satellite and the planet at closest and farthest points is:
A
1 : 2
B
1 : 3
C
1 : 6
D
3 : 4
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