1
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to the e.m.f. of the battery. The ratio of the energy stored int he capacitor to the work done by the battery will be

A
2
B
$$\frac{1}{2}$$
C
1
D
$$\frac{1}{4}$$
2
MHT CET 2021 24th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

Capacitors of capacities $$\mathrm{C}_1, \mathrm{C}_2$$ and $$\mathrm{C}_3$$ are connected in series. If the combination is connected to a supply of '$$\mathrm{V}$$' volt, then potential difference across capacitor '$$\mathrm{C}_1$$' is

A
$$\frac{\mathrm{C}_2 \mathrm{C}_3+\mathrm{C}_1 \mathrm{C}_3+\mathrm{C}_1 \mathrm{C}_2}{\mathrm{C}_1 \mathrm{C}_2 V}$$
B
$$\frac{\mathrm{C}_2 \mathrm{C}_3+\mathrm{C}_1 \mathrm{C}_3+\mathrm{C}_1 \mathrm{C}_2}{\mathrm{C}_1 \mathrm{C}_2 \mathrm{C}_3 \mathrm{V}}$$
C
$$\frac{\mathrm{C}_2 \mathrm{C}_3 \mathrm{V}}{\mathrm{C}_2 \mathrm{C}_3+\mathrm{C}_1 \mathrm{C}_3+\mathrm{C}_1 \mathrm{C}_2}$$
D
$$\frac{\mathrm{C}_1 \mathrm{C}_2 \mathrm{C}_3 \mathrm{V}}{\mathrm{C}_2 \mathrm{C}_3+\mathrm{C}_1 \mathrm{C}_3+\mathrm{C}_1 \mathrm{C}_2}$$
3
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

The plates of a parallel plate capacitor of capacity '$$\mathrm{C}_1$$' are moved closer together until they ant half their original separation. The new capacitance '$$\mathrm{C}_2$$' is

A
$$\mathrm{C}_2=\frac{C_1}{2}$$
B
$$\mathrm{C}_2=\mathrm{C}_1$$
C
$$\mathrm{C}_2=2 \mathrm{C}_1$$
D
$$\mathrm{C}_2=3 \mathrm{C}_1$$
4
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

Two identical capacitors have the same capacitance '$$\mathrm{C}$$'. One of them is charged to potential '$$\mathrm{V_1}$$' and the other to $$\mathrm{V_2}$$. The negative ends of the capacitors are connected together. When positive ends are also connected, the decrease in energy of the combined system is

A
$$\frac{1}{4} C\left(V_1-V_2\right)^2$$
B
$$\frac{1}{2} C\left(v_1^2+v_2^2\right)$$
C
$$\frac{1}{2} C\left(V_1^2-V_2^2\right)$$
D
$$\frac{1}{2} C\left(V_1+V_2\right)^2$$
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