1
WB JEE 2023
+1
-0.25

A thin glass rod is bent in a semicircle of radius R. A charge is non-uniformly distributed along the rod with a linear charge density $$\lambda=\lambda_0\sin\theta$$ ($$\lambda_0$$ is a positive constant). The electric field at the centre P of the semicircle is,

A
$$-\frac{\lambda_{o}}{8 \pi \varepsilon_{o} R} \hat{j}$$
B
$$\frac{\lambda_{o}}{8 \pi \varepsilon_{o} R} \hat{j}$$
C
$$\frac{\lambda_{\mathrm{o}}}{8 \pi \varepsilon_{\mathrm{o}} \mathrm{R}} \hat{\mathrm{i}}$$
D
$$-\frac{\lambda_{\mathrm{o}}}{8 \pi \varepsilon_{\mathrm{o}} R} \hat{\mathrm{i}}$$
2
WB JEE 2023
+1
-0.25

The figure represents two equipotential lines in x-y plane for an electric field. The x-component E$$_x$$ of the electric field in space between these equipotential lines is,

A
100 V/m
B
$$-$$100 V/m
C
200 V/m
D
$$-$$200 V/m
3
WB JEE 2023
+1
-0.25

An electric dipole of dipole moment $$\vec{p}$$ is placed at the origin of the co-ordinate system along the $$\mathrm{z}$$-axis. The amount of work required to move a charge '$$\mathrm{q}$$' from the point $$(\mathrm{a}, 0, 0)$$ to the point $$(0,0, a)$$ is,

A
$$\frac{\mathrm{pq}}{4 \pi \varepsilon_{0} \mathrm{a}}$$
B
0
C
$$\frac{-p q}{4 \pi \varepsilon_{0} \mathrm{a}^{2}}$$
D
$$\frac{\mathrm{pq}}{4 \pi \varepsilon_{0} \mathrm{a}^{2}}$$
4
WB JEE 2022
+1
-0.25

The electric potential for an electric field directed parallel to X-axis is shown in the figure. Choose the correct plot of electric field strength.

A
B
C
D
WB JEE Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
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