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Jee Main Advanced Physics Chapter Wise Mock Test
Quiz 1
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Q.1
The unit of electrical Permittivity is
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$C^2N^{-1}m^0$
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$C^2N^0m^{-2}$
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$C^2N^{-1}m^{-2}$
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$C^2N^{-2}m^{-1}$
Explanation
Solution:
From Coulomb's law, F = q
1
q
2
/(4πε
0
r²), so ε
0
= q
1
q
2
/(4πFr²).
Dimensionally that's [C²] ÷ ([N][m²]) = C²N⁻¹m⁻².
Q.2
Which of the following statements are true
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When a capacitor is connected to battery ,a current flows in the circuit for some time and then decreases to zero
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When a capacitor is connected to battery ,a current first increase and then become constant
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An alternating currents flows in the circuit
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none of the above
Explanation
Solution:
When a capacitor is first connected to a battery, current flows to charge it up, and as the capacitor's own voltage rises to oppose the battery, that charging current tapers off, reaching zero once the capacitor is fully charged -- a standard exponential decay, not a steady or alternating current.
Q.3
which of the following is incorrect ?
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Electric field lines indicates the direction of the electric field ,The field point in the direction tangent to field lines at any point
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Electric field is proportional to the number of lines crossing unit area perpendicular to the lines
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Electric field lines start at positive charge and end at negative charge
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Electric field lines intersect with each other
Explanation
Solution:
Field lines do point tangent to the field's direction at every point, their density does represent field strength, and they do run from positive charges to negative ones -- all standard, true properties.
But two field lines can never cross: a crossing point would mean the field has two different directions at once there, which is impossible for a well-defined field -- so "field lines intersect" is the false claim.
Q.4
Four statement are made about the dipole STATEMENT -1: An electric dipole placed in a non uniform electric field will experience both torque and force STATEMENT -2: An electric dipole placed in a uniform electric field will experience no force and torque will depend on the axis of the dipole STATEMENT -3: The unit of dipole moment is Cm STATEMENT -4: The electric potential at a point on the equatorial line of a dipole is zero which one of the following is correct
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All the statement are correct
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Statement 1,2 and 4 are correct
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Statement 1,2 and 3 are correct
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Statement 2,3 and 4 are correct
Explanation
Solution:
In a non-uniform field, the force on a dipole's two charges differs (since the field itself differs at their two locations), giving a nonzero net force alongside any torque -- true.
In a uniform field, the equal-and-opposite forces on the two charges cancel exactly (no net force), but there's still a torque unless the dipole happens to be aligned with the field -- true.
Dipole moment (charge × separation) does carry units of C·m -- true.
On the equatorial line, every point is equidistant from both charges, so their potential contributions are equal and opposite and cancel to zero -- also true. All four hold.
Q.5
A charge q is at the origin ,which of the following statement is true
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Flux of charge passing through a sphere with center at x=R at radii r< R will not be zero
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The flux of a cube of side 'a' enclosing the charge will not be same as the sphere of radii 'a' enclosing the charge
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The flux passing through concentric sphere of Radii r and R, r> R with center as origin will be same
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None of these
Explanation
Solution:
Gauss's law says flux through a closed surface depends only on the TOTAL enclosed charge, not on the surface's shape or size, and not on exactly where inside the charge sits -- as long as the same charge q is enclosed. Since the charge sits at the origin, which is the common centre of both concentric spheres of radii r and R, it's enclosed by both regardless of their size, so both spheres carry the exact same flux, q/ε
0
.
Q.6
Which of the following is correct expression for Electrical Potential energy
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qV
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qE
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qVd
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None of these
Explanation
Solution:
Electric potential energy of a charge q sitting at a point of potential V is, by definition, U = qV.
Q.7
STATEMENT A: The energy stored in any electric field E has Energy/Volume equals to $\frac {1}{2} \epsilon _0 E^2$ STATEMENT B:An charged capacitor stores an amount electric energy given by $ \frac {1}{2}CV^2$
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A and B both are correct
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Only A is correct
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Only B is correct
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Both A and B are wrong
Explanation
Solution:
Both are standard, textbook results: the energy density stored in an electric field is ½ε
0
E² (energy per unit volume of the field itself), and the total energy stored in a charged capacitor is ½CV².
Q.8
which of these quantities are scalar ?
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Dipole moment
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Electric Potential
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Electric Field
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None of the above
Explanation
Solution:
Dipole moment and electric field both have a direction as well as a magnitude, so they're vectors. Electric potential is defined as energy per unit charge -- a single number with no direction, so it's a scalar.
Q.9
which is the following is true?
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The work done by the electric field of nucleus in moving an electron around it in a complete orbit is zero irrespective of whether the orbit is circular or elliptical
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A single conductor cannot have any capacitance
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Electrons move from a region of higher potential to lower potential
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None of these
Explanation
Solution:
The electrostatic force from the nucleus is a conservative force, and work done by any conservative force around a closed path (returning to the starting point) is always exactly zero -- true for a complete orbit whether it's circular, elliptical, or any other closed shape.
Q.10
A electric charge q is placed inside a cavity of a spherical conductor. which of the following is false?
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Electric field inside the cavity will be zero
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Electric field inside the conductor material will be zero
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A negative charge q will be induced on the inner surface of the cavity and positive charge will be induced on the outer surface of the conductor
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None of these
Explanation
Solution:
The field WITHIN THE CONDUCTOR's own material is zero (standard electrostatic shielding) -- true. Charge q inside the cavity induces an equal and opposite -q on the cavity's inner wall and +q on the conductor's outer surface -- true.
But the CAVITY ITSELF is empty space containing a real charge q, so there is very much a nonzero electric field inside it, following ordinary Coulomb's law around that charge -- claiming the cavity's field is zero is the false statement.
Q.11
which of the following is true for Gauss's Law
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The charges outside the closed surface does not contribute to the total flux on the closed surface. The charges inside do all the contribution
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The electric Field vector in the Gauss law surface integral is the electric field due to inside charges
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The position of charges inside the surface makes difference to Gauss law surface integral
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None of these
Explanation
Solution:
Gauss's law states that the total electric flux through a closed surface depends only on the total charge enclosed inside it -- any charge sitting outside the surface contributes nothing to that total flux, no matter how close it is.
Q.12
Choose the incorrect one
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A parallel plate capacitor is charged and then disconnected from battery. The plates of the capacitor are pulled apart so as to make the distance double between the plates.The energy stored in Capacitor will be increased
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A air filled capacitor is charged and then disconnected from battery. If now a dielectric is inserted between the plates,then Potential difference will decrease between the plates
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Capacitance does not depend on Q and V,it depends on the shape,size ,relative position of plates and also on the material which separates them
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None of the above
Explanation
Solution:
With the capacitor disconnected, its charge Q stays fixed. Since energy U=Q²/(2C) and capacitance C=ε
0
A/d shrinks as the plate separation d grows, pulling the plates apart increases U -- true, not an error.
Inserting a dielectric increases C (by the dielectric constant), and with Q fixed, V=Q/C then decreases -- also true.
Capacitance genuinely is a purely geometric/material property -- plate shape, size, separation, and the dielectric between them -- independent of whatever charge or voltage happens to be applied at any given moment -- also true. None of the three statements is actually incorrect.
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