1
JEE Main 2019 (Online) 12th January Evening Slot
+4
-1
The moment of inertia of a solid sphere, about an axis parallel to its diameter and at a distance of x from it, is 'I(x)'. Which one of the graphs represents the variation of I(x) with x correctly ?
A
B
C
D
2
JEE Main 2019 (Online) 12th January Evening Slot
+4
-1
Two particles A, B are moving on two concentric circles of radii R1 and R2 with equal angular speed $$\omega$$. At t = 0, their positions and direction of motion are shown in the figure. :

The relative velocity $${\overrightarrow V _A} - {\overrightarrow V _B}$$ at t = $${\pi \over {2\omega }}$$ is given by :
A
$$- \omega \left( {{R_1} + {R_2}} \right)\,\widehat i$$
B
$$\omega \left( {{R_2} - {R_1}} \right)\,\widehat i$$
C
$$\omega \left( {{R_1} + {R_2}} \right)\,\widehat i$$
D
$$\omega \left( {{R_1} - {R_1}} \right)\,\widehat i$$
3
JEE Main 2019 (Online) 12th January Evening Slot
+4
-1
A long cylindrical vessel is half filled with a liquid. When the vessel is rotated about its own vertical axis, the liquid rises up near the wall. If the radius of vessel is 5 cm and its rotational speed is 2 rotations per second, then the difference in the heights between the centre and the sides, in cm, will be :
A
2.0
B
1.2
C
0.1
D
0.4
4
JEE Main 2019 (Online) 12th January Morning Slot
+4
-1
Let the moment of inertia of a hollow cylinder of length 30 cm (inner radius 10 cm and outer radius 20 cm), about its axis be I. The radius of a thin cylinder of the same mass such that its moment of inertia about its axis is also I, is :
A
16 cm
B
12 cm
C
14 cm
D
18 cm
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