1
WB JEE 2024
+1
-0.25

Two straight conducting plates form an angle $$\theta$$ where their ends are joined. A conducting bar in contact with the plates and forming an isosceles triangle with them starts at the vertex at time $$t=0$$ and moves with constant velocity $$\vec{v}$$ to the right as shown in figure. A magnetic field $$\vec{B}$$ points out of the page. The magnitude of emf induced at $$t=1$$ second will be

A
$$\mathrm{Bv} \tan \frac{\theta}{2}$$
B
$$2 \mathrm{Bv}^2 \tan \frac{\theta}{2}$$
C
$$2 \mathrm{Bv}^2 \cot \frac{\theta}{2}$$
D
$$2 \mathrm{Bv}^2 \sin \frac{\theta}{2}$$
2
WB JEE 2023
+1
-0.25

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
$$\hat{i}-\hat{k}$$
3
WB JEE 2023
+1
-0.25

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, $$2 / 3 ~\mathrm{sec}$$.
4
WB JEE 2022
+1
-0.25

In a closed circuit there is only a coil of inductance L and resistance 100 $$\Omega$$. The coil is situated in a uniform magnetic field. All on a sudden, the magnetic flux linked with the circuit changes by 5 Weber. What amount of charge will flow in the circuit as a result?

A
500 C
B
0.05 C
C
20 C
D
Value of L is to be known to find the charge flown
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