1
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
In a region, the electric field is $30 \hat{\mathbf{i}}+40 \hat{\mathbf{j}} \mathrm{NC}^{-1}$, If the electric potential at the origin is zero. The electric potential at the point ( $1 \mathrm{~m}, 2 \mathrm{~m}$ ) is
A
-60 V
B
-75 V
C
-55 V
D
-110 V
2
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

A large number of positive charges each of magnitude $$q$$ are placed along the $$X$$-axis at the origin and at every 1 cm distance in both the directions. The electric flux through a spherical surface of radius 2.5 cm centred at the origin is

A
$$\frac{5 q}{\varepsilon_0}$$
B
$$\frac{8 q}{\varepsilon_0}$$
C
0
D
$$\infty$$
3
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The electric field in a region of space is given as $$\mathbf{E}=\left(5 \mathrm{NC}^{-1}\right) x \hat{i}$$. Consider point $$A$$ on the $$Y$$-axis at $$y=5 \mathrm{~m}$$ and point $$B$$ on the $$X$$-axis at $$x=2 \mathrm{~m}$$. If the potentials at points $$A$$ and $$B$$ are $$V_A$$ and $$V_B$$ respectively, then $$\left(V_B-V_A\right)$$ is

A
$$-15$$ V
B
8 V
C
$$-10$$ V
D
$$-12.5$$ V
4
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

A solid sphere of radius $$R$$ carries a positive charge $$Q$$ distributed uniformly throughout its volume. A very thin hole is drilled through it's centre. A particle of mass $$m$$ and charge $$-$$q performs simple harmonic motion about the centre of the sphere in this hole. The frequency of oscillation is

A
$$\frac{1}{2 \pi}\left[\frac{Q q}{4 \pi \varepsilon_0 R^3 m}\right]^{\frac{1}{2}}$$
B
$$\frac{1}{2 \pi}\left[\frac{Q q}{4 \pi \varepsilon_0 R^2 m}\right]^{\frac{1}{2}}$$
C
$$\frac{1}{2 \pi} \frac{Q}{\left[4 \pi \varepsilon_0 m R^3\right]^{\frac{1}{2}}}$$
D
$$\frac{1}{2 \pi}\left[\frac{Q q}{4 \pi \varepsilon_0 m R}\right]^{\frac{1}{2}}$$
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