1
JEE Advanced 2024 Paper 2 Online
MCQ (More than One Correct Answer)
+4
-2
Change Language

A positive, singly ionized atom of mass number $A_{\mathrm{M}}$ is accelerated from rest by the voltage $192 \mathrm{~V}$. Thereafter, it enters a rectangular region of width $w$ with magnetic field $\vec{B}_0=0.1 \hat{k}$ Tesla, as shown in the figure. The ion finally hits a detector at the distance $x$ below its starting trajectory.

[Given: Mass of neutron/proton $=(5 / 3) \times 10^{-27} \mathrm{~kg}$, charge of the electron $=1.6 \times 10^{-19} \mathrm{C}$.]

JEE Advanced 2024 Paper 2 Online Physics - Magnetism Question 1 English

Which of the following option(s) is(are) correct?

A
The value of $x$ for $H^{+}$ion is $4 \mathrm{~cm}$.
B
The value of $x$ for an ion with $A_{\mathrm{M}}=144$ is $48 \mathrm{~cm}$.
C
For detecting ions with $1 \leq A_{\mathrm{M}} \leq 196$, the minimum height $\left(x_1-x_0\right)$ of the detector is $55 \mathrm{~cm}$.
D
The minimum width $w$ of the region of the magnetic field for detecting ions with $A_{\mathrm{M}}=196$ is $56 \mathrm{~cm}$.
2
JEE Advanced 2021 Paper 2 Online
MCQ (More than One Correct Answer)
+4
-2
Change Language
Two concentric circular loops, one of radius R and the other of radius 2R, lie in the xy-plane with the origin as their common center, as shown in the figure. The smaller loop carries current I1 in the anti-clockwise direction and the larger loop carries current I2 in the clockwise direction, with I2 > 2I1. $$\overrightarrow B $$(x, y) denotes the magnetic field at a point (x, y) in the xy-plane. Which of the following statement(s) is(are) correct?

JEE Advanced 2021 Paper 2 Online Physics - Magnetism Question 29 English
A
$$\overrightarrow B $$(x, y) is perpendicular to the xy-plane at any point in the plane
B
| $$\overrightarrow B $$(x, y) | depends on x and y only through the radial distance $$r = \sqrt {{x^2} + {y^2}} $$
C
| $$\overrightarrow B $$(x, y) | is non-zero at all points for r < R
D
$$\overrightarrow B $$(x, y) points normally outward from the xy-plane for all the points between the two loops
3
JEE Advanced 2021 Paper 1 Online
MCQ (More than One Correct Answer)
+4
-2
Change Language
A long straight wire carries a current, I = 2 ampere. A semi-circular conducting rod is placed beside it on two conducting parallel rails of negligible resistance. Both the rails are parallel to the wire. The wire, the rod and the rails lie in the same horizontal plane, as shown in the figure. Two ends of the semi-circular rod are at the distances 1 cm and 4 cm from the wire. At time t = 0, the rod starts moving on the rails with a speed v = 3.0 m/s (see the figure).

A resistor R = 1.4 $$\Omega$$ and a capacitor C0 = 5.0$$\mu$$F are connected in series between the rails. At time t = 0, C0 is uncharged. Which of the following statement(s) is(are) correct? [$$\mu$$0 = 4$$\pi$$ $$\times$$ 10$$-$$7 SI units. Take ln 2 = 0.7]

JEE Advanced 2021 Paper 1 Online Physics - Magnetism Question 33 English
A
Maximum current through R is 1.2 $$\times$$ 10$$-$$6 ampere
B
Maximum current through R is 3.8 $$\times$$ 10$$-$$6 ampere
C
Maximum charge on capacitor C0 is 8.4 $$\times$$ 10$$-$$12 coulomb
D
Maximum charge on capacitor C0 is 2.4 $$\times$$ 10$$-$$12 coulomb
4
JEE Advanced 2018 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
Change Language
Two infinitely long straight wires lie in the $$xy$$-plane along the lines $$x = \pm R.$$ The wire located at $$x = + R$$ carries a constant current $${I_1}$$ and the wire located at $$x=-R$$ carries a constant current $${I_2}.$$ A circular loop of radius $$R$$ is suspended with its center at $$\left( {0,0,\sqrt 3 R} \right)$$ and in a plane parallel to the $$xy$$-plane. This loop carries a constant current $$I$$ in the clockwise direction as seen from above the loop. The current in the wire is taken to be positive if it is in the $$ + \widehat j$$ direction. which of the following statements regarding the magnetic field $$\overrightarrow B $$ is (are) true?
A
If $${I_1} = {I_2},$$ then $$\overrightarrow B $$ cannot be equal to zero at the origin $$(0,0,0)$$
B
If $${I_1} > 0$$ and $${I_2} < 0,$$ then $$\overrightarrow B $$ can be equal to zero at the origin $$(0,0,0)$$
C
If $${I_1} < 0$$ and $${I_2} > 0,$$ then $$\overrightarrow B $$ can be equal to zero at the origin $$(0,0,0)$$
D
If $${I_1} = {I_2},$$ then the $$z$$-component of the magnetic field at the center of the loop is $$\left( { - {{{\mu _0}I} \over {2R}}} \right)$$
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