1
MHT CET 2023 9th May Morning Shift
+1
-0

A solid metallic sphere has a charge $$+3 Q$$. Concentric with this sphere is a conducting spherical shell having charge $$-\mathrm{Q}$$. The radius of the sphere is '$$A$$' and that of the spherical shell is '$$B$$'. $$(B > A)$$. The electric field at a distance '$$\mathrm{R}$$' $$(\mathrm{A} < \mathrm{R} < \mathrm{B})$$ from the centre is ( $$\varepsilon_0=$$ permittivity of vacuum)

A
$$\frac{\mathrm{Q}}{2 \pi \varepsilon_0 \mathrm{R}}$$
B
$$\frac{3 Q}{2 \pi \varepsilon_0 R}$$
C
$$\frac{3 \mathrm{Q}}{4 \pi \varepsilon_0 \mathrm{R}^2}$$
D
$$\frac{4 Q}{2 \pi \varepsilon_0 R^2}$$
2
MHT CET 2022 11th August Evening Shift
+1
-0

If the radius of the spherical gaussian surface is increased then the electric flux due to a point charge enclosed by the surface

A
increases
B
remains unchanged
C
decreases
D
zero
3
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
$$2$$
4
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
$$\sqrt{3} \mathrm{~F}$$
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