1
JEE Main 2022 (Online) 24th June Evening Shift
+4
-1

Two identical charged particles each having a mass 10 g and charge 2.0 $$\times$$ 10$$-$$7C are placed on a horizontal table with a separation of L between them such that they stay in limited equilibrium. If the coefficient of friction between each particle and the table is 0.25, find the value of L. [Use g = 10 ms$$-$$2]

A
12 cm
B
10 cm
C
8 cm
D
5 cm
2
JEE Main 2022 (Online) 24th June Evening Shift
+4
-1

A long cylindrical volume contains a uniformly distributed charge of density $$\rho$$. The radius of cylindrical volume is R. A charge particle (q) revolves around the cylinder in a circular path. The kinetic energy of the particle is :

A
$${{\rho q{R^2}} \over {4{\varepsilon _0}}}$$
B
$${{\rho q{R^2}} \over {2{\varepsilon _0}}}$$
C
$${{q\rho } \over {4{\varepsilon _0}{R^2}}}$$
D
$${{4{\varepsilon _0}{R^2}} \over {q\rho }}$$
3
JEE Main 2022 (Online) 24th June Morning Shift
+4
-1

A vertical electric field of magnitude 4.9 $$\times$$ 105 N/C just prevents a water droplet of a mass 0.1 g from falling. The value of charge on the droplet will be :

(Given : g = 9.8 m/s2)

A
1.6 $$\times$$ 10$$-$$9 C
B
2.0 $$\times$$ 10$$-$$9 C
C
3.2 $$\times$$ 10$$-$$9 C
D
0.5 $$\times$$ 10$$-$$9 C
4
JEE Main 2021 (Online) 1st September Evening Shift
+4
-1
A cube is placed inside an electric field, $$\overrightarrow E = 150{y^2}\widehat j$$. The side of the cube is 0.5 m and is placed in the field as shown in the given figure. The charge inside the cube is :

A
3.8 $$\times$$ 10$$-$$11 C
B
8.3 $$\times$$ 10$$-$$11 C
C
3.8 $$\times$$ 10$$-$$12 C
D
8.3 $$\times$$ 10$$-$$12 C
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