1
JEE Main 2024 (Online) 31st January Morning Shift
+4
-1

A rigid wire consists of a semicircular portion of radius $$R$$ and two straight sections. The wire is partially immerged in a perpendicular magnetic field $$B=B_0 \hat{k}$$ as shown in figure. The magnetic force on the wire if it has a current $$i$$ is:

A
$$i B R \hat{j}$$
B
$$-2 i B R \hat{j}$$
C
$$2 i B R \hat{j}$$
D
$$-i B R \hat{j}$$
2
JEE Main 2024 (Online) 30th January Morning Shift
+4
-1

Two insulated circular loop A and B of radius '$$a$$' carrying a current of '$$\mathrm{I}$$' in the anti clockwise direction as shown in the figure. The magnitude of the magnetic induction at the centre will be :

A
$$\frac{\sqrt{2} \mu_0 I}{a}$$
B
$$\frac{\mu_0 I}{\sqrt{2} a}$$
C
$$\frac{\mu_0 \mathrm{I}}{2 \mathrm{a}}$$
D
$$\frac{2 \mu_0 I}{a}$$
3
JEE Main 2024 (Online) 29th January Evening Shift
+4
-1

Two particles $$X$$ and $$Y$$ having equal charges are being accelerated through the same potential difference. Thereafter they enter normally in a region of uniform magnetic field and describes circular paths of radii $$R_1$$ and $$R_2$$ respectively. The mass ratio of $$X$$ and $$Y$$ is :

A
$$\left(\frac{R_1}{R_2}\right)$$
B
$$\left(\frac{R_2}{R_1}\right)$$
C
$$\left(\frac{R_2}{R_1}\right)^2$$
D
$$\left(\frac{R_1}{R_2}\right)^2$$
4
JEE Main 2024 (Online) 27th January Morning Shift
+4
-1

A proton moving with a constant velocity passes through a region of space without any change in its velocity. If $$\overrightarrow{\mathrm{E}}$$ and $$\overrightarrow{\mathrm{B}}$$ represent the electric and magnetic fields respectively, then the region of space may have :

(A) $$\mathrm{E}=0, \mathrm{~B}=0$$

(B) $$\mathrm{E}=0, \mathrm{~B} \neq 0$$

(C) $$\mathrm{E} \neq 0, \mathrm{~B}=0$$

(D) $$\mathrm{E} \neq 0, \mathrm{~B} \neq 0$$

Choose the most appropriate answer from the options given below :

A
(A), (B) and (C) only
B
(A), (C) and (D) only
C
(A), (B) and (D) only
D
(B), (C) and (D) only
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