1
JEE Advanced 2015 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2

In a thin rectangular metallic strip a constant current I flows along the positive x-direction, as shown in the figure. The length, width and thickness of the strip are l, w and d, respectively.

A uniform magnetic field B is applied on the strip along the positive y-direction. Due to this, the charge carriers experience a net deflection along the z-direction. This results in accumulation of charge carriers on the surface PQRS and appearance of equal and opposite charges on the face opposite PQRS. A potential difference along the z-direction is thus developed. Charge accumulation continues until the magnetic force is balanced by the electric force. The current is assumed to be uniformly distributed on the cross section of the strip and carried by electrons. Consider two different metallic strips (1 and 2) of same dimensions (length l, width w and thickness d) with carrier densities n1 and n2, respectively. Strip 1 is placed in magnetic field B1 and strip 2 is placed in magnetic field B2, both along positive y-directions. Then V1 and V2 are the potential differences developed between K and M in strips 1 and 2, respectively. Assuming that the current I is the same for both the strips, the correct options is/are :
A
If B1 = B2 and n1 = 2n2, then V2 = 2V1
B
If B1 = B2 and n1 = 2n2, then V2 = V1
C
If B1 = 2B2 and n1 = n2, then V2 = 0.5V1
D
If B1 = 2B2 and n1 = n2, then V2 = V1
2
JEE Advanced 2015 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
A conductor (shown in the figure) carrying constant current I is kept in the x-y plane in a uniform magnetic field B. If F is the magnitude of the total magnetic force acting on the conductor, then the correct statements is/are A
if B is along $$\widehat z$$, F $$\propto$$ (L + R)
B
if B is along $$\widehat x$$, F = 0
C
if B is along $$\widehat y$$, F $$\propto$$ (L + R)
D
if B is along $$\widehat z$$, F = 0
3
JEE Advanced 2013 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2

A steady current I flows along an infinitely long hollow cylindrical conductor of radius R. This cylinder is placed coaxially inside an infinite solenoid of radius 2R. The solenoid has n turns per unit length and carries a steady current I. Consider a point P at a distance r from the common axis. The correct statement(s) is(are)

A
In the region 0 < r < R, the magnetic field is non-zero.
B
In the region R < r < 2R, the magnetic field is along the common axis.
C
In the region R < r < 2R, the magnetic field is tangential to the circle of radius r, centred on the axis.
D
In the region r > 2R, the magnetic field is non-zero.
4
JEE Advanced 2013 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2

A particle of mass M and positive charge Q, moving with a constant velocity $${\overrightarrow u _1} = 4\widehat i$$ ms$$-$$1 enters a region of uniform static magnetic field, normal to the xy plane. The region of the magnetic field extends from x = 0 to x = L for all values of y. After passing through this region, the particle emerges on the other side after 10 ms with a velocity $${\overrightarrow u _2} = 2\left( {\sqrt 3 \widehat i + \widehat j} \right)$$ ms$$-$$1. The correct statement(s) is(are)

A
The direction of the magnetic field is $$-$$z direction.
B
The direction of the magnetic field is +z direction.
C
The magnitude of the magnetic field is $${{50\pi M} \over {3Q}}$$ units.
D
The magnitude of the magnetic field is $${{100\pi M} \over {3Q}}$$ units.
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
EXAM MAP
Joint Entrance Examination