1
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
$${{M{H^2}} \over 3}$$
2
JEE Main 2020 (Online) 5th September Evening Slot
+4
-1
A ring is hung on a nail. It can oscillate, without slipping or sliding
(i) in its plane with a time period T1 and,
(ii) back and forth in a direction perpendicular to its plane,
with a period T2. The ratio $${{{T_1}} \over {{T_2}}}$$ will be :
A
$${{\sqrt 2 } \over 3}$$
B
$${2 \over {\sqrt 3 }}$$
C
$${2 \over 3}$$
D
$${3 \over {\sqrt 2 }}$$
3
JEE Main 2020 (Online) 5th September Morning Slot
+4
-1
A wheel is rotating freely with an angular speed $$\omega$$ on a shaft. The moment of inertia of the wheel is I and the moment of inertia of the shaft is negligible. Another wheel of moment of inertia 3I initially at rest is suddenly coupled to the same shaft. The resultant fractional loss in the kinetic energy of the system is :
A
0
B
$${5 \over 6}$$
C
$${1 \over 4}$$
D
$${3 \over 4}$$
4
JEE Main 2020 (Online) 4th September Evening Slot
+4
-1
Consider two uniform discs of the same thickness and different radii R1 = R and
R2 = $$\alpha$$R made of the same material. If the ratio of their moments of inertia I1 and I2 , respectively, about their axes is I1 : I2 = 1 : 16 then the value of $$\alpha$$ is :
A
$$\sqrt 2$$
B
2
C
$$2\sqrt 2$$
D
4
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