Electrostatic MDCAT MCQs. We covered all the Electrostatic MDCAT MCQs online tests in this post for free so that you can practice well for the exam.
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Electrostatic MDCAT MCQs for Students
The area of each plate of a parallel plate capacitor is 100 cm² and the distance between the plates is 1 mm. It is filled with mica of dielectric constant 6. The radius of the equivalent capacity of the sphere will be
(A) 47.7 m
(B) 4.77 m
(C) 477 m
(D) 0.47 m
Option b – 4.77 m
Given a number of capacitors labeled as 4 µF, 250 V. Find the minimum number of capacitors needed to get an arrangement equivalent to 16 µF, 1000 V. ( Electrostatic MDCAT MCQs )
(A) 4
(B) 16
(C) 32
(D) 64
Option d – 64
A conducting sphere of radius R, carrying a charge Q, is joined to an uncharged conducting sphere of radius 3R. The charge flowing between them will be
(A) 0.25 Q
(B) 0.5 Q
(C) 0.75 Q
(D) 1.5 Q
Option c – 0.75 Q
A capacitor is charged by using a battery which is then disconnected. A dielectric slab is then slipped between the plates, which results in ( Electrostatic MDCAT MCQs )
(A) a reduction of charge on the plates and an increase of potential difference across the plates.
(B) decrease in the potential difference across the plates, reduction in the stored energy, but no change in the charge on the plates.
(C) increase in the potential difference across the plates, reduction in stored energy, but no change in the charge on the plates.
(D) none of the above.
Option b – decrease in the potential difference across the plates, reduction in the stored energy, but no change in the charge on the plates.
The capacitance of a spherical condenser is 1 uF. If the spacing between the two spheres is 1 mm, then the radius of the outer sphere is
(A) 30 cm
(B) 6 m
(C) 9 cm
(D) 3 m
Option d – 3 m
The electric field between two charged parallel plates is reduced to one-third when the polythene sheet is inserted and reduced to one-eighth when the PVC slab is inserted. The ratio of dielectric constants of PVC to polythene is
(A) 3 : 8
(B) 8 : 3
(C) 5 : 8
(D) 3 : 5
Option b – 8 : 3
A sheet of aluminum foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor ( Electrostatic MDCAT MCQs )
(A) increases.
(B) decreases.
(C) remains unchanged.
(D) becomes zero.
Option c – remains unchanged.
A parallel plate air capacitor has a capacitance of 18 µF. If the distance between the plates is trebled and a dielectric medium is introduced, the capacitance becomes 72 µF. The dielectric constant of the medium is
(A) 4
(B) 9
(C) 12
(D) 2
Option c – 12
Three capacitors of capacitance 3 uF each are connected in a circuit. Then their maximum and minimum capacitance will be
(A) 9 µF, 1 µF
(B) 8 µF, 2 uF
(C) 9 µF, 0 uF
(D) 3 uF, 2 µF
Option a – 9 µF, 1 µF
Three identical capacitors are combined differently. For the same voltage to each combination, the one that stores the greatest energy is ( Electrostatic MDCAT MCQs )
(A) two in parallel and the third in series with it.
(B) three in series.
(C) three in parallel.
(D) two in series and a third in parallel with it.
Option c – three in parallel.
Two capacitors of 20 µF and 30 µF are connected to 200 V and 100 V sources respectively. If they are connected by the wire, what is the common potential of the capacitors?
(A) 16 volt
(B) 140 volt
(C) 300 volt
(D) 400 volt
Option b – 140 volt
If the dielectric constant and dielectric strength be denoted by k and x respectively, then a material suitable for use as a dielectric in a capacitor must have ( Electrostatic MDCAT MCQs )
(A) high k and high x.
(B) high k and low x.
(C) low k and low x.
(D) low k and high x.
Option a – high k and high x.
A 20 F capacitor is charged to 10 V and isolated. It is then connected in parallel with an uncharged 60 F capacitor. The decrease in the energy of the system will be
(A) 250 J
(B) 750 J
(C) 125 J
(D) 150 J
Option b – 750 J
Assertion: A parallel plate capacitor is charged by a battery. The battery is then disconnected. If the distance between the plates is increased, the energy stored in the capacitor will decrease. Reason: Work has to be done to increase the separation between the plates of a charged capacitor.
(A) Assertion is True, Reason is True; Reason is a correct explanation for Assertion.
(B) Assertion is True, Reason is True; Reason is not a correct explanation for Assertion.
(C) The assertion is True, Reason is False.
(D) The assertion is False, Reason is True.
Option d – The assertion is False, Reason is True.
What fraction of the energy drawn from the charging battery is stored in a capacitor?
(A) 75%
(B) 100%
(C) 25%
(D) 50%
Option d – 50%
A parallel plate air capacitor is connected to a battery that maintains a voltage of 12 V between its terminals. Under these conditions, the charge on the capacitor is Q. If the separation between the plates is tripled while the capacitor is kept connected to the battery then
(A) the energy stored in the capacitor is tripled.
(B) the energy stored in the capacitor is reduced by a factor of 3.
(C) the energy stored in the capacitor is kept constant.
(D) the energy stored in the capacitor is reduced by a factor of 9.
Choose a non-polar dielectric
(A) Ethyl alcohol
(B) Benzene
(C) Ammonia
(D) Hydrochloric acid
Option b – Benzene
A technician has only two capacitors. By using these singly or in series or in parallel, he can obtain capacitances of 3.2 µF, 4 µF, 16 µF, and 20 uF. The capacitances of these capacitors are
(A) 8 µF and 4 µF
(B) 8 µF and 12 µF
(C) 7 µF and 9 µF
(D) 4 µF and 16 µF
Option d – 4 µF and 16 µF
A cube of marble on each side of 2 m is placed in an electric field of intensity 450 V/m. The energy stored in the marble, if its dielectric constant is 2, is
(A) 2 µJ
(B) 14 µJ
(C) 20 µJ
(D) 3.93 μJ
Option b – 14 µJ
A Van de Graaff generator is used ( Electrostatic MDCAT MCQs )
(A) to produce high potential.
(B) to accelerate charged particles like protons, and deuterons.
(C) in the study of nuclear Physics.
(D) for all of these.
Option d – for all of these.
The capacitor works in ( Electrostatic MDCAT MCQs )
(A) A. C. circuits
(B) D. C. circuits
(C) Both (A) and (B)
(D) Neither (A) nor (B)
Option c – Both (A) and (B)
An uncharged conductor connected to the earth is placed near a charged conductor. This result in ( Electrostatic MDCAT MCQs )
(A) a fall in the potential of the charged conductor
(B) an increase in the capacity of the charged conductor
(C) a decrease in charge of the charged conductor
(D) both (A) and (B)
Option d – Both (A) and (B)
One plate of parallel plate capacitor is smaller than the other, the charge on the smaller plate will be :
(A) less than the other
(B) more than the other
(C) equal to the other
(D) will depend upon the medium between them
Option c – equal to the other
If a positively charged body is connected to the earth, its potential becomes :
(A) zero
(B) infinity
(C) positive
(D) negative
Option a – zero
The Ohmic resistance of a condenser for DC current is :
(A) infinite
(B) zero
(C) 2Ω
(D) 5Ω
Option a – infinite
In a uniform electric field, the lines of force are : ( Electrostatic MDCAT MCQs )
(A) perpendicular to each other
(B) parallel to each other
(C) parallel to each other and equally spaced
(D) carried
Option c – parallel to each other and equally spaced
The unit of capacity is :
(A) coulomb/volt
(B) farad
(C) ampere/volt
(D) both (A) and (B)
Option d – both (A) and (B)
An arrangement of conductors that increases charge storing capacity without increasing its potential is called :
(A) inductor
(B) capacitor
(C) resistor
(D) transistor
Option b – capacitor
The ratio of charge given to the conductor to the increase in its potential due to this charge is called :
(A) the capacity of the conductor
(B) resistance of the conductor
(C) the reactance of the conductor
(D) the impedance of the conductor
Option a – the capacity of the conductor
An uncharged conductor A is brought near a charged conductor B : ( Electrostatic MDCAT MCQs )
(A) the charge and potential of B both remain constant
(B) the charge and potential of B both change
(C) the charge remains constant but the potential decreases
(D) the charge remains constant but the potential increases
Option c – the charge remains constant but the potential decreases
A capacitor connected to a 10 V battery collects a charge of 40 μC with air as dielectric and 100 μC with a given oil as dielectric. The dielectric constant of the oil is :
(A) 1.5
(B) 2
(C) 2.5
(D) 5
Option c – 2.5
The force between the plates of capacitance 5 μF and the distance of separation of plates is 1 mm with a potential difference of 10 V between the plates is :
(A) 25 N
(B) 0.5 N
(C) 75 N
(D) 0.25 N
Option b – 0.5 N
The potential difference in volt between the plates of a 20 μF capacitor whose charge is 10 mC is :
(A) 500
(B) 200
(C) 50
(D) 20
Option a – 500
Sixty-four drops each having the capacity C and potential V are combined to form a big drop. If the charge on the small drop is q. The charge on the big drop will be :
(A) q
(B) 2 q
(C) 8 q
(D) 64 q
Option d – 64 q
(A) equally
(B) inversely to their capacities
(C) in proportion to their capacities
(D) (A) or (B)
Option c – in proportion to their capacities
Increasing the charge on the plates of a capacitor means :
(A) increasing the capacitance
(B) increasing the P. D. between the plates
(C) decreasing the P. D. between the plates
(D) no change in the field between the plates
Option b – increasing the P. D. between the plates
The ratio between the charge and potential of a body
1. capacitance
2. conductance
3. induction
4. insulation
Option 1 – capacitance
4µF capacitor is charged to 400V. Then the two plates are connected with a wire of 10000 resistance. The heat liberated is
1. 0.64 J
2. 0.32 J
3.0.16 J
4. 1.28 J
Option 2 – 0.32 J
The energy stored in a capacitor of 1µF when it charged to 1KV potential ( Electrostatic MDCAT MCQs )
1. 5
2. 0.5
3. 0.005
4. 50
Option 2 – 0.5
The intensity of the electric field when a dielectric is placed between the charged plates of a condenser
1. decreases
2. increases
3. no change
4. increases or decreases
Option 1 – decreases
The plates of a parallel plate capacitor are charged and then the battery is removed. If the plate is moved a distance away with the help of insulating rods
1. charge becomes zero
2. capacity becomes infinity
3. charge, capacity increases
4. pd between plates increases
Option 4 – pd between plates increases
The potential in the middle of a charged conductor
1. zero
2. double on its surface
3. half on its surface
4. equal to the potential on its surface
Option 4 – equal to the potential on its surface
A parallel plate capacitor is charged and then the battery is removed. If the distance between the plates is increased with the help of insulators
1. charge on the capacitor becomes zero
2. capacity becomes infinity
3. charge on the capacitor increases
4. voltage between plates increases
Option 4 – voltage between plates increases
A non-conducting solid sphere of radius R is uniformly charged. The magnitude of the electric field is due to the sphere at a distance r from its center.
1. r=R
2. r<R, increases as r increases
3. decreases as r increases r>R
4. None of the above
Option 2 – r
The value of the electric field when a dielectric is placed between the plates of a charged condenser
1. decreases
2. increases
3. doesn’t change
4. None of these
Option 1 – decreases
Out of direct current (D.C.) and alternate currents (A.C.), in which circuits capacitors can be used?
1. only in A.C. circuits
2. only in D.C. circuits
3. in both circuits
4. none of these
Option 3 – in both circuits
In a parallel-plate capacitor, the region between the plates is filled by a dielectric slab. The capacitor is connected to a cell and the slab is taken out
1. Some charge is returned to the cell
2. Some charge is drawn from the cell
3. The potential difference across the capacitor is reduced
4. None of the above
Option 1 – Some charge is returned to the cell
Assertion: Charge is a scalar quantity. Reason: Charge is invariant under rotation as well as for different frames of reference during relative motion.
(A) The assertion is True, Reason is True; Reason is a correct explanation for Assertion.
(B) The assertion is True, and Reason is True; Reason is not a correct explanation for Assertion.
(C) The assertion is True, Reason is False.
(D) The assertion is False, Reason is True.
Option b – The assertion is True, and Reason is True; Reason is not a correct explanation for Assertion.
512 small drops of mercury, each of radius r and charge q, coalesce to form a big drop. The ratio of the surface density of charge of the big drop with that of each small drop is
(A) 512 : 1
(B) 1 : 8
(C) 1 : 512
(D) 8 : 1
Option d – 8 : 1
Three equal and similar charges of magnitude q are placed at (0, – a, 0), (0, 0, 0), and (0, + a, 0). What is the nature of the equilibrium of the charge at the origin?
(A) Stable when moved along the Y-axis.
(B) Stable when moved along Z-axis.
(C) Stable when moved along the X-axis.
(D) Stable when moved along XZ plane.
Option a – Stable when moved along the Y-axis.
Charges of +2 µC are placed at the four corners A, B, C, and D of a square of side 1 m. The magnitude of the force on the charge at B will be
(A) 0.04 N
(B) 0.07 N
(C) 0.14 N
(D) 0.12 N
Option b – 0.07 N
Three-point charges are placed at the corners of an equilateral triangle. Assuming only electrostatic forces act on charges choose the correct statement.
(A) The system will be in equilibrium if the charges have the same magnitude but not all have the same sign.
(B) The system will be in equilibrium if the charges have different magnitudes and have the same sign.
(C) The system will be in equilibrium if the charges rotate about the center of the triangle.
(D) The system can never be in equilibrium.
Option d – The system can never be in equilibrium.
The electric field strength at a distance x from a is E. What will be the electric field charge Q strength if the distance of the observation point is increased by 2x?
(A) E/2
(B) E/3
(C) E/4
(D) E/9
Option d – E/9
A circular plate of radius 10 cm has a surface charge density of 6 μC/m². If a charge of magnitude 3 µC is placed at a distance of 100 cm from the plate, then the force experienced by the charge will be
(A) 5 mN
(B) 2.5 N
(C) 6 N
(D) 2 mN
Option a – 5 mN
Assertion: At the macroscopic level, the charge loses its quantized nature and appears to be continuous. Reason: There are approximately 10¹⁹ electrons in 1 C of charge.
(A) The assertion is True, Reason is True; Reason is a correct explanation for Assertion.
(B) The assertion is True, and Reason is True; Reason is not a correct explanation for Assertion.
(C) The assertion is True, Reason is False.
(D) The assertion is False, Reason is True.
Option a – The assertion is True, Reason is True; Reason is a correct explanation for Assertion.
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