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WB JEE 2023
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WB JEE 2023 Physics - Electrostatics Question 5 English

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
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WB JEE 2023
MCQ (Single Correct Answer)
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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
$$\frac{\mathrm{pq}}{4 \pi \varepsilon_{0} \mathrm{a}^{2}}$$
3
WB JEE 2023
MCQ (Single Correct Answer)
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The electric field of a plane electromagnetic wave of wave number k and angular frequency $$\omega$$ is given $$\vec{E}=E_{0}(\hat{i}+\hat{j}) \sin (k z-\omega t)$$. Which of the following gives the direction of the associated magnetic field $$\vec{B}$$ ?

A
$$\hat{\mathrm{k}}$$
B
$$-\hat{i}+\hat{j}$$
C
$$-\hat{i}-\hat{j}$$
D
$$\hat{i}-\hat{k}$$
4
WB JEE 2023
MCQ (Single Correct Answer)
+1
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A charged particle in a uniform magnetic field $$\vec{B}=B_{0} \hat{k}$$ starts moving from the origin with velocity $$v=3 \hat{\mathrm{i}}+4 \hat{\mathrm{k}} ~\mathrm{m} / \mathrm{s}$$. The trajectory of the particle and the time $$t$$ at which it reaches $$2 \mathrm{~m}$$ above $$\mathrm{x}-\mathrm{y}$$ plane are,

A
Circular path $$1 / 2 ~\mathrm{sec}$$.
B
Helical path, $$1 / 2$$ sec.
C
Circular path, $$2 / 3 ~\mathrm{sec}$$.
D
Helidatpath, $$2 / 3 ~\mathrm{sec}$$.
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