1
MHT CET 2022 11th August Evening Shift
+1
-0

Three equal charges '$$\mathrm{q}_1$$', '$$^{\prime} \mathrm{q}_2$$' and '$$\mathrm{q}_3$$' are placed on the three corners of a square of side 'a'. If the force between $$\mathrm{q}_1$$ and $$\mathrm{q}_2$$ is '$$\mathrm{F}_{12}$$' and that between $$\mathrm{q}_1$$ and $$\mathrm{q}_3$$ is '$$\mathrm{F}_{13}$$', then the ratio of magnitudes $$\left(\frac{F_{12}}{F_{13}}\right)$$ is

A
$$\frac{1}{2}$$
B
$$\sqrt{2}$$
C
$$\frac{1}{\sqrt{2}}$$
D
$$2$$
2
MHT CET 2021 24th September Evening Shift
+1
-0

Three charges each of $$+1 \mu \mathrm{C}$$ are placed at the corners of an equilateral triangle. If the repulsive force between any two charges is $$\mathrm{F}$$, then the net force on either charge will be [$$\cos 60^{\circ}=0.5$$]

A
$$2 \mathrm{F}$$
B
$$3 \mathrm{F}$$
C
$$\sqrt{2} \mathrm{~F}$$
D
$$\sqrt{3} \mathrm{~F}$$
3
MHT CET 2021 24th September Evening Shift
+1
-0

Four electric charges $$+\mathrm{q},+\mathrm{q},-\mathrm{q}$$ and $$-\mathrm{q}$$ are placed in order at the corners of a square of side $$2 \mathrm{~L}$$. The electric potential at point midway between the two positive charges is

A
$$\frac{1}{4 \pi \epsilon_0} \frac{2 \mathrm{q}}{\mathrm{L}}(1-\sqrt{5})$$
B
zero
C
$$\frac{1}{4 \pi \epsilon_0} \frac{2 q}{L}\left(1+\frac{1}{\sqrt{5}}\right)$$
D
$$\frac{1}{4 \pi \epsilon_0} \frac{2 q}{L}\left(1-\frac{1}{\sqrt{5}}\right)$$
4
MHT CET 2021 24th September Morning Shift
+1
-0

The electric field intensity on the surface of a charged solid sphere of radius '$$r$$' and volume charge dentiy '$$\rho$$' is given by ($$\epsilon_0=$$ permittivity of free space)

A
zero
B
$$\frac{\sigma \pi}{3 \epsilon_0}$$
C
$$\frac{1}{4 \pi \epsilon_0} \frac{\sigma}{r}$$
D
$$\frac{5 \pi}{6 \epsilon_0}$$
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