## ELECTROSTATICS AND CAPACITANCE QUIZ-9

As per analysis for previous years, it has been observed that students preparing for NEET find Physics out of all the sections to be complex to handle and the majority of them are not able to comprehend the reason behind it. This problem arises especially because these aspirants appearing for the examination are more inclined to have a keen interest in Biology due to their medical background.

Furthermore, sections such as Physics are dominantly based on theories, laws, numerical in comparison to a section of Biology which is more of fact-based, life sciences, and includes substantial explanations. By using the table given below, you easily and directly access to the topics and respective links of MCQs. Moreover, to make learning smooth and efficient, all the questions come with their supportive solutions to make utilization of time even more productive. Students will be covered for all their studies as the topics are available from basics to even the most advanced.

Q1. A hollow metallic sphere of radius R is given a charge Q. Then, the potential at the centre is
•  Zero
•  1/(4Ï€Îµ0).Q/R
•  1/(4Ï€Îµ0).2Q/R
•  1/(4Ï€Îµ0).Q/2R
Solution

Q2.Three capacitors of capacitance 1Î¼F,2Î¼F and 3Î¼F are connected in series and a potential difference of 11 V is applied across the combination. Then, the potential difference across the plate of 1Î¼F capacitor is
•  2
•  4
•  1
•  6
Solution
Q3.  Identify the wrong statement.
•  In an electric field two equipotential surfaces can never intersect.
•  A charged particle free to move in an electric field shall always move in the direction of E
•  Electric field at the surface of a charged conductor is always normal to the surface.
•  The electric potential decrease along a line of force in an electric field.
Solution

Q4. The radius of nucleus of silver (atomic number Z=47) is 3.4×10-14 m.The electric potential on the surface of nucleus will be
•  1.99×106 V
•  2.99×106 V
•  3.99×106 V
•  None of these
Solution

Q5.Six charges, three positive and three negative of equal magnitude are to be placed at the vertices of a regular hexagon such that the electric field at O is double the electric field when only one positive charge of same magnitude is placed at R. which of the following arrangements of charges is possible for P, Q, R, S, T and U respectively?

•  +,-,+,-,-,+
•  +,-,+,-,+,-
•  +,+,-,+,-,-
•  -,+,+,-,+,-
Solution

Q6. A parallel plate condenser with oil (dielectric constant 2) between the plates has capacitance C. If oil is removed, the capacitance of capacitor becomes
•  √2C
•  2C
• C/√2
•  C/2
Solution

Q7.The equivalent capacitance between the points A and B in the following circuit is

•  1 Î¼F
•  2 Î¼F.
•  4 Î¼F.
•  8 Î¼F.
Solution

Q8.Charges2q, -q and –q lie at the vertices of an equilateral triangle. The value of E and V at the centroid of the triangle will be
•  E≠0 and V≠0
•  E=0 and V=0
•  E≠0 and V=0
•  E=0 and V≠0
Solution

Q9.A capacitor of capacitance 10Î¼F charged to 100V is connected to an uncharged capacitor. The effective potential now is 40 V. The capacitance of uncharged capacitor is
•  12Î¼F
•  15Î¼F
•  25Î¼F
•  30Î¼F
Solution

Q10. The work done in moving an alpha particle between two points having potential difference 25 V is
•  8×10-18 J
•  8×10-19 J
•  8×10-20 J
• 8×10-16 J
Solution

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