1
JEE Main 2023 (Online) 6th April Evening Shift
+4
-1 Figure shows a part of an electric circuit. The potentials at points $$a, b$$ and $$c$$ are $$30 \mathrm{~V}, 12 \mathrm{~V}$$ and $$2 \mathrm{~V}$$ respectively. The current through the $$20 ~\Omega$$ resistor will be, A
0.2 A
B
0.6 A
C
0.4 A
D
1.0 A
2
JEE Main 2023 (Online) 6th April Evening Shift
+4
-1 A student is provided with a variable voltage source $$\mathrm{V}$$, a test resistor $$R_{T}=10 ~\Omega$$, two identical galvanometers $$G_{1}$$ and $$G_{2}$$ and two additional resistors, $$R_{1}=10 ~M \Omega$$ and $$R_{2}=0.001 ~\Omega$$. For conducting an experiment to verify ohm's law, the most suitable circuit is:

A B C D 3
JEE Main 2023 (Online) 1st February Evening Shift
+4
-1 Given below are two statements : One is labelled as Assertion $$\mathbf{A}$$ and the other is labelled as Reason $$\mathbf{R}$$.

Assertion A : For measuring the potential difference across a resistance of $$600 \Omega$$, the voltmeter with resistance $$1000 \Omega$$ will be preferred over voltmeter with resistance $$4000 \Omega$$.

Reason R : Voltmeter with higher resistance will draw smaller current than voltmeter with lower resistance.

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

A
$$\mathbf{A}$$ is not correct but $$\mathbf{R}$$ is correct
B
Both $$\mathbf{A}$$ and $$\mathbf{R}$$ are correct and $$\mathbf{R}$$ is the correct explanation of $$\mathbf{A}$$
C
$$\mathbf{A}$$ is correct but $$\mathbf{R}$$ is not correct
D
Both $$\mathbf{A}$$ and $$\mathbf{R}$$ are correct but $$\mathbf{R}$$ is not the correct explanation of $$\mathbf{A}$$
4
JEE Main 2023 (Online) 1st February Evening Shift
+4
-1 Equivalent resistance between the adjacent corners of a regular n-sided polygon of uniform wire of resistance R would be :

A
$$\frac{(\mathrm{n}-1) \mathrm{R}}{\mathrm{n}^{2}}$$
B
$$\frac{n^{2} R}{n-1}$$
C
$$\frac{(n-1) R}{(2 n-1)}$$
D
$$\frac{(n-1) R}{n}$$
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