1
COMEDK 2024 Morning Shift
+1
-0

Two charges '$$-q$$' each are fixed, separated by distance '$$2 d$$'. A third charge '$$q$$' of mass '$$m$$' placed at the mid-point is displaced slightly by '$$x$$' $$(x< < d)$$ perpendicular to the line joining the two fixed charges as shown in Fig. The time period of oscillation of '$$q$$' will be

A
$$\mathrm{T}=\sqrt{\frac{8 \varepsilon_0 \mathrm{~m} \pi^2 \mathrm{~d}^3}{\mathrm{q}^2}}$$
B
$$\mathrm{T}=\sqrt{\frac{8 \varepsilon_0 \mathrm{~m} \pi^3 \mathrm{~d}^3}{\mathrm{q}^3}}$$
C
$$\mathrm{T}=\sqrt{\frac{4 \varepsilon_0 \mathrm{~m} \pi^3 \mathrm{~d}^3}{\mathrm{q}^2}}$$
D
$$\mathrm{T}=\sqrt{\frac{8 \varepsilon_0 \mathrm{~m} \pi^3 \mathrm{~d}^3}{\mathrm{q}^2}}$$
2
COMEDK 2024 Morning Shift
+1
-0

Two metal spheres, one of radius $$\frac{R}{2}$$ and the other of radius $$2 \mathrm{R}$$ respectively have the same surface charge density They are brought in contact and separated. The ratio of their new surface charge densities is

A
$$2: 1$$
B
$$4: 1$$
C
$$1: 4$$
D
$$1: 2$$
3
COMEDK 2023 Morning Shift
+1
-0

When $$10^{19}$$ electrons are removed from a neutral metal plate, the electric charge on it is

A
$$-1.6 \mathrm{~C}$$
B
$$+1.6 \mathrm{~C}$$
C
$$10^{+19} \mathrm{~C}$$
D
$$10^{-19} \mathrm{~C}$$
4
COMEDK 2023 Evening Shift
+1
-0

Two point charges $$20 \mu \mathrm{C}$$ and $$-10 \mu \mathrm{C}$$ are separated by a distance of $$1 \mathrm{~m}$$ in air. At what point on the line joining the two charges, the electric potential is zero.

A
$$0.5 \mathrm{~m}$$ from the charge $$10 \mu \mathrm{C}$$
B
$$0.76 \mathrm{~m}$$ from the charge $$20 \mu \mathrm{C}$$
C
$$0.67 \mathrm{~m}$$ from the charge $$20 \mu \mathrm{C}$$
D
$$0.25 \mathrm{~m}$$ from the charge $$10 \mu \mathrm{C}$$
EXAM MAP
Medical
NEET