1
JEE Main 2023 (Online) 30th January Evening Shift
+4
-1 As shown in the figure, a current of $2 \mathrm{~A}$ flowing in an equilateral triangle of side $4 \sqrt{3} \mathrm{~cm}$. The magnetic field at the centroid $\mathrm{O}$ of the triangle is (Neglect the effect of earth's magnetic field)

A
$4 \sqrt{3} \times 10^{-4} \mathrm{~T}$
B
$4 \sqrt{3} \times 10^{-5} \mathrm{~T}$
C
$3 \sqrt{3} \times 10^{-5} \mathrm{~T}$
D
$\sqrt{3} \times 10^{-4} \mathrm{~T}$
2
JEE Main 2023 (Online) 30th January Evening Shift
+4
-1 The output $Y$ for the inputs $A$ and $B$ of circuit is given by Truth table of the shown circuit is:

A B C D 3
JEE Main 2023 (Online) 30th January Evening Shift
+4
-1 A current carrying rectangular loop PQRS is made of uniform wire. The length $P R=Q S=5 \mathrm{~cm}$ and $P Q=R S=100 \mathrm{~cm}$. If ammeter current reading changes from I to $2 I$, the ratio of magnetic forces per unit length on the wire $P Q$ due to wire $R S$ in the two cases respectively $\left(f_{P Q}^I: f_{P Q}^{2 t}\right)$ is: A
1 : 4
B
1 : 3
C
1 : 2
D
1 : 5
4
JEE Main 2023 (Online) 30th January Evening Shift
+4
-1 For a simple harmonic motion in a mass spring system shown, the surface is frictionless. When the mass of the block is $1 \mathrm{~kg}$, the angular frequency is $\omega_{1}$. When the mass block is $2 \mathrm{~kg}$ the angular frequency is $\omega_{2}$. The ratio $\omega_{2} / \omega_{1}$ is A
$1 / \sqrt{2}$
B
$1 / 2$
C
2
D
$\sqrt{2}$
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