1
JEE Main 2023 (Online) 10th April Evening Shift
+4
-1

The distance between two plates of a capacitor is $$\mathrm{d}$$ and its capacitance is $$\mathrm{C}_{1}$$, when air is the medium between the plates. If a metal sheet of thickness $$\frac{2 d}{3}$$ and of the same area as plate is introduced between the plates, the capacitance of the capacitor becomes $$\mathrm{C}_{2}$$. The ratio $$\frac{\mathrm{C}_{2}}{\mathrm{C}_{1}}$$ is

A
1 : 1
B
3 : 1
C
2 : 1
D
4 : 1
2
JEE Main 2023 (Online) 10th April Morning Shift
+4
-1

The equivalent capacitance of the combination shown is :

A
$$\frac{C}{2}$$
B
4C
C
$$\frac{5}{3}$$C
D
2C
3
JEE Main 2023 (Online) 8th April Morning Shift
+4
-1

In this figure the resistance of the coil of galvanometer G is $$2 ~\Omega$$. The emf of the cell is $$4 \mathrm{~V}$$. The ratio of potential difference across $$\mathrm{C}_{1}$$ and $$\mathrm{C}_{2}$$ is:

A
$$\frac{5}{4}$$
B
$$\frac{3}{4}$$
C
1
D
$$\frac{4}{5}$$
4
JEE Main 2023 (Online) 1st February Evening Shift
+4
-1

Given below are two statements: One is labeled as Assertion A and the other is labeled as Reason R.

Assertion A : Two metallic spheres are charged to the same potential. One of them is hollow and another is solid, and both have the same radii. Solid sphere will have lower charge than the hollow one.

Reason R : Capacitance of metallic spheres depend on the radii of spheres

In light of the above statements, choose the correct answer from the options given below.

A
Both $$\mathbf{A}$$ and $$\mathbf{R}$$ are true but $$\mathbf{R}$$ is not the correct explanation of $$\mathbf{A}$$
B
Both $$\mathbf{A}$$ and $$\mathbf{R}$$ are true and $$\mathbf{R}$$ is the correct explanation of $$\mathbf{A}$$
C
$$\mathbf{A}$$ is false but $$\mathbf{R}$$ is true
D
$$\mathbf{A}$$ is true but $$\mathbf{R}$$ is false
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