Under the action of a given coulombic force the acceleration of an electron is . Then the magnitude of the acceleration of a proton under the action of same force is nearly
1
2
3
4
Official Solution
Correct Option: (3)
The acceleration due to given coulombic force is or , where and are masses of electron and proton respectively
02
PYQ 2010
medium
physicsID: amueee-2
An electron initially at rest falls a distance of in a uniform electric field of magnitude . The time taken by the electron to fall this distance is
1
2
3
4
Official Solution
Correct Option: (4)
Here, the direction of field is upward. So the negatively charged electron experiences a downward force.
The acceleration of electron is
The time required by the electron to fall through a distance is (using (i))
03
PYQ 2011
medium
physicsID: amueee-2
A spherical conducting shell of inner radius and outer radius has a charge . A charge is placed at the centre of the shell. The surface charge density on the inner and outer surfaces of the shell will be
1
and
2
and
3
and
4
and
Official Solution
Correct Option: (3)
Surface charge density
and
04
PYQ 2013
medium
physicsID: amueee-2
Two identical conducting spheres, fixed in place, attract each other with an electrostatic force of when separated by , center to center. The spheres are then connected by a thin conducting wire. When the wire is removed the spheres repel each other with an electrostatic force of . The initial charges on the spheres were
1
2
3
4
Official Solution
Correct Option: (2)
Given that
(i) and
(iii) Now
(iv) From Eqs. (iii) and (iv), we get and
05
PYQ 2013
medium
physicsID: amueee-2
A non-conducting sphere of radius a has a net charge uniformly distributed throughout its volume. A spherical conducting shell having inner and outer, radii b and c and a net charge is concentric with the sphere (see the figure). Read the following statements
(i) The electric field at a distance from the center of the sphere = (ii) The electric field at distance from the center of the sphere for (iii) The electric field at distance from the center of the sphere for (iv) The charge on the inner surface of the hollow sphere = (v) The charge on the outer surface of the hollow sphere = .
1
(i) (ii) and (v)
2
(i), (iii) and (iv)
3
(ii), (iii) and (iv)
4
(ii), (iii) and (v)
Official Solution
Correct Option: (4)
Radius
06
PYQ 2014
medium
physicsID: amueee-2
A uniformly charged conducting sphere of diameter has a surface charge density of . Find the total electric flux leaving the surface of the sphere.
1
2
3
4
Zero
Official Solution
Correct Option: (1)
The given, ,
The change on the sphere
The total electric flux
07
PYQ 2014
medium
physicsID: amueee-2
In Millikans experiment, an oil drop of radius am and density is suspended when a downward electric field of is applied. What is the charge on the drop in terms of ?
1
-9e
2
-7e
3
-5e
4
-3e
Official Solution
Correct Option: (3)
The given, , ,
and
08
PYQ 2014
medium
physicsID: amueee-2
Figure shows three particles with charges and , each a distance from the origin. Find the net electric field at the origin.
1
towards + ve x-axis
2
towards + ve x-axis
3
towards - ve x-axis
4
Zero
Official Solution
Correct Option: (2)
The given, The net electric field at the origin
towards ve -axis.
09
PYQ 2015
medium
physicsID: amueee-2
A charge is to be divided on two objects. The values of the charges on the objects so that the force between the objects can be maximum are
1
2
3
4
Official Solution
Correct Option: (3)
So, force between the objects is maximum for .
10
PYQ 2015
medium
physicsID: amueee-2
An oil drop of excess electrons is held stationary under a constant electric field in Millikan?s oil drop experiment. The density of oil is . The radius of the drop is
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2
3
4
Official Solution
Correct Option: (3)
In Millikan?s oil drop experiment, the charged oil drop remains suspended (in equilibrium) when downward weight of drop is balanced by upward electrostatic force and charge on drop , i.e.
If is radius of oil drop, then mass
11
PYQ 2018
medium
physicsID: amueee-2
Figure shows three arrangements of electric field lines. In each arrangement, a proton is released from rest at point and then accelerated through point by the electric field. Points and have equal separations in the three arrangements. If and are linear momentum of the proton at point in the three arrangement respectively, then
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2
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4
Official Solution
Correct Option: (2)
The region in which electric lines of forces are closer, have more value of electric field than the region in which electric lines of forces are farther (i) Electric lines of forces are closer and uniform, so acceleration on proton is increasing till , hence proton has maximum velocity at , therefore is maximum (ii) In this figure, electric lines of forces are going away from each other, hence electric field continuously decreases, so is moderate at (iii) In this figure, electric lines of forces are farthest among till three figures, hence acceleration on proton is minimum due to weakest electric field, hence is minimum at