1
JEE Advanced 2021 Paper 1 Online
Numerical
+2
-0
In the circuit shown below, the switch S is connected to position P for a long time so that the charge on the capacitor becomes q1 $$\mu$$C. Then S is switched to position Q. After a long time, the charge on the capacitor is q2 $$\mu$$C.

The magnitude of q2 is ________________.
2
JEE Advanced 2021 Paper 1 Online
Numerical
+2
-0
Two point charges $$-$$Q and +Q/$$\sqrt 3$$ are placed in the xy-plane at the origin (0, 0) and a point (2, 0), respectively, as shown in the figure. This results in an equipotential circle of radius R and potential V = 0 in the xy-plane with its center at (b, 0). All lengths are measured in meters.

The value of R is __________ meter.
3
JEE Advanced 2021 Paper 1 Online
Numerical
+2
-0
Two point charges $$-$$Q and +Q/$$\sqrt 3$$ are placed in the xy-plane at the origin (0, 0) and a point (2, 0), respectively, as shown in the figure. This results in an equipotential circle of radius R and potential V = 0 in the xy-plane with its center at (b, 0). All lengths are measured in meters.

The value of b is __________ meter.
4
JEE Advanced 2021 Paper 1 Online
MCQ (More than One Correct Answer)
+4
-2
A horizontal force F is applied at the center of mass of a cylindrical object of mass m and radius R, perpendicular to its axis as shown in the figure. The coefficient of friction between the object and the ground is $$\mu$$. The center of mass of the object has an acceleration a. The acceleration due to gravity is g. Given that the object rolls without slipping, which of the following statement(s) is(are) correct?

A
For the same F, the value of a does not depend on whether the cylinder is solid or hollow
B
For a solid cylinder, the maximum possible value of a is 2$$\mu$$g
C
The magnitude of the frictional force on the object due to the ground is always $$\mu$$mg
D
For a thin-walled hollow cylinder, $$a = {F \over {2m}}$$
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