Question

A parallel plate capacitor is located horizontally such that one of the plates is submerged in a liquid while the other is above the liquid surface. When plates are charged the level of liquid
Capacitors and Dielectrics mcq question image

A. rises  
B. falls
C. remains unchanged
D. may rise or fall depending on the of charge amount
Answer :   rises
Solution :
The molecules of liquid will convert into induced dipole, get oriented along the electric field produced between the plates and rise due to force of attraction.

Releted MCQ Question on
Electrostatics and Magnetism >> Capacitors and Dielectrics

Releted Question 1

A parallel plate capacitor of capacitance $$C$$ is connected to a battery and is charged to a potential difference $$V.$$ Another capacitor of capacitance $$2C$$ is similarly charged to a potential difference $$2V.$$ The charging battery is now disconnected and the capacitors are connected in parallel to each other in such a way that the positive terminal of one is connected to the negative terminal of the other. The final energy of the configuration is

A. zero
B. $$\frac{3}{2}C{V^2}$$
C. $$\frac{{25}}{6}C{V^2}$$
D. $$\frac{9}{2}C{V^2}$$
Releted Question 2

Two identical metal plates are given positive charges $${Q_1}$$ and $${Q_2}\left( { < {Q_1}} \right)$$   respectively. If they are now brought close together to form a parallel plate capacitor with capacitance $$C,$$ the potential difference between them is

A. $$\frac{{\left( {{Q_1} + {Q_2}} \right)}}{{2C}}$$
B. $$\frac{{\left( {{Q_1} + {Q_2}} \right)}}{C}$$
C. $$\frac{{\left( {{Q_1} - {Q_2}} \right)}}{C}$$
D. $$\frac{{\left( {{Q_1} - {Q_2}} \right)}}{{2C}}$$
Releted Question 3

For the circuit shown in Figure, which of the following statements is true?
Capacitors and Dielectrics mcq question image

A. With $${S_1}$$ closed $${V_1} = 15\,V,{V_2} = 20\,V$$
B. With $${S_3}$$ closed $${V_1} = {V_2} = 25\,V$$
C. With $${S_1}$$ and $${S_2}$$ closed, $${V_1} = {V_2} = 0$$
D. With $${S_1}$$ and $${S_3}$$ closed, $${V_1} = 30\,V,{V_2} = 20\,V$$
Releted Question 4

A parallel plate capacitor of area $$A,$$ plate separation $$d$$ and capacitance $$C$$ is filled with three different dielectric materials having dielectric constants $${k_1},{k_2}$$  and $${k_3}$$ as shown. If a single dielectric material is to be used to have the same capacitance $$C$$ in this capacitor, then its dielectric constant $$k$$ is given by
Capacitors and Dielectrics mcq question image

A. $$\frac{1}{K} = \frac{1}{{{K_1}}} + \frac{1}{{{K_2}}} + \frac{1}{{2{K_3}}}$$
B. $$\frac{1}{K} = \frac{1}{{{K_1} + {K_2}}} + \frac{1}{{2{K_3}}}$$
C. $$K = \frac{{{K_1}{K_2}}}{{{K_1} + {K_2}}} + 2{K_3}$$
D. $$K = {K_1} + {K_2} + 2{K_3}$$

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