1
JEE Main 2023 (Online) 31st January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

If $$\mathrm{R}, \mathrm{X}_{\mathrm{L}}$$, and $$\mathrm{X}_{\mathrm{C}}$$ represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless :

A
$$\frac{R}{X_{L} X_{C}}$$
B
$$R X_{L} X_{C}$$
C
$$\frac{R}{\sqrt{X_{L} X_{C}}}$$
D
$$R \frac{X_{L}}{X_{C}}$$
2
JEE Main 2023 (Online) 31st January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The maximum potential energy of a block executing simple harmonic motion is $$25 \mathrm{~J}$$. A is amplitude of oscillation. At $$\mathrm{A / 2}$$, the kinetic energy of the block is

A
9.75 J
B
37.5 J
C
18.75 J
D
12.5 J
3
JEE Main 2023 (Online) 31st January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

If 1000 droplets of water of surface tension $$0.07 \mathrm{~N} / \mathrm{m}$$, having same radius $$1 \mathrm{~mm}$$ each, combine to from a single drop. In the process the released surface energy is :-

$$\left( {\mathrm{Take}\,\pi = {{22} \over 7}} \right)$$

A
$$7 .92 \times 10^{-4} \mathrm{~J}$$
B
$$7 .92 \times 10^{-6} \mathrm{~J}$$
C
$$8 .8 \times 10^{-5} \mathrm{~J}$$
D
$$9 .68 \times 10^{-4} \mathrm{~J}$$
4
JEE Main 2023 (Online) 31st January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

As shown in figure, a $$70 \mathrm{~kg}$$ garden roller is pushed with a force of $$\vec{F}=200 \mathrm{~N}$$ at an angle of $$30^{\circ}$$ with horizontal. The normal reaction on the roller is

(Given $$\mathrm{g=10~m~s^{-2}}$$)

JEE Main 2023 (Online) 31st January Morning Shift Physics - Laws of Motion Question 23 English

A
800 N
B
600 N
C
200$$\sqrt3$$ N
D
800$$\sqrt2$$ N
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