ELECTROSTATICS-AND-CAPACITANCE-QUIZ-10

ELECTROSTATICS AND CAPACITANCE QUIZ-10

Dear Readers,

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. Charges +q and –q are placed at points A and B respectively which are a distance 2L apart, C is the mid-point between A and B. The work done in moving a charge +Q along the semicircle CRD is

•  qQ/(4πε₀L)
•  qQ/(2πε₀L)
•  qQ/(6πε₀L)
•  -qQ/(6πε₀L)

Solution

Q2.Three concentric conducting spherical shells carry charges as follows :+Q on the inner shell, -2Q on the middle shell and -5 Q on the outer shell. The charge in the inner surface of the outer shell is

•  Zero
•  +Q
•  -2Q
•  -3Q

Solution

Q3.  The capacitance of a parallel plate capacitor with air as medium is 3μF. With the introduction of a dielectric medium between the plates, the capacitance becomes 15μF. The permittivity of the medium is

•  5C² N^-1 m^-2
•  15C² N^-1 m^-2
•  0.44×10^-10 C² N^-1 m^-2
•  8.854×10^-11 C² N^-1 m^-2

Solution

Q4. The work done in bringing a unit positive charge from infinity distance to a point at distance X from a positive charge Q is W. Then, the potential ϕat the point is

•  WQ/X
•  W
•  W/Q
•  WQ

Solution

Q5.Two capacitor of capacity 6μF and 12μF in series are connected by potential of 150 V. the potential of capacitor of capacity 12μF will be

•  25 V
•  50 V
•  100 V
•  150 V

Solution
 

Q6. A uniform electric field having a magnitude E₀and direction along the positive X–axis, exists. If the potential V is zero at x=0, then its value at x=+x will be

•  V(x)=+xE₀
•  V(x)=-x〖E₀
• V(x)=+x² E₀
•  V(x)=-x² E₀

Solution

Q7.Two thin wire rings each having a radius Rare placed at a distance d apart with their axes coinciding. The charges on the two rings are +q and –q. The potential difference between the centres of two rings is

•  
• 
  
•  
• 
  
•    Zero
•  
• 
  

Solution

Q8.A parallel plate capacitor of area A, plate separation d and capacitance C is filled with three different dielectric materials having dielectric constants K₁,K₂ and K₃ as shown. If a single dieletric material is to be used to have the same capacitance C is this capacitors, then its dielectric constant K is 

given by

•  1/K=1/K₁ +1/K₂ +1/(2K₃ )
•  1/K=1/(K₁+K₂ )+1/(2K₃ )
•  K= (K₁ K₂)/(K₁+K₂ )+2K₃
•  K=K₁+K₂+2K₃

Solution

Q9.An automobile spring extends 0.2 m for 5000 N load. The ratio of potential energy stored in this spring when it has been compressed by 0.2 m to the potential energy stored in a 10μF capacitor at a potential difference of 10000 V will be

•  1/4
•  1
•  1/2
•  2

Solution

Q10. Find the potential at the centre of a square of side √2m. Which carries at its four corners charges q₁=3×10^-6 C,q₂=-3×10^-6 C,q₃=-4×10^-6 C,q₄=7×10^-6 C

•  2.7×10⁴ V
•  1.5×10³ V
•  3×10² V
• 5×10³ V

Solution