JEE Main 2023 · PhysicsMultiple choiceSingle correctEasyCalculation

JEE Main 8 April 2023, Shift 1, Physics Q36

Question 36 of 90 in this shift, Physics question 6 of 30, Section A.

At any instant the velocity of a particle of mass

500\ \mathrm{g}

(2t\hat{i}+3t^2\hat{j})\ \mathrm{ms^{-1}}

. If the force acting on the particle at

t=1\mathrm{s}

(\hat{i}+x\hat{j})\mathrm{N}

. Then the value of

x

will be:

(1) $6$
(2) $4$
(3) $3$ Official answer
(4) $2$

Official answer

Option 3

NTA final key.

Chapter: Laws of Motion
Topic: Newton's Laws of Motion
Idea tested: F=ma for Single Body

Same idea in other shifts

Asked 9× in all

4 Apr 2026, Shift 2 · Q28At $t=0$ , a body of mass 100 g starts moving under the influence of a force $\left(5\hat i+10\hat j\right)$ N. After 2 s its position is…EasySingle correct
7 Apr 2025, Shift 2 · Q28An object with mass 500 g moves along $x$ -axis with speed $v=4\sqrt{x}$ m/s. The force acting on the object is :MediumSingle correct
1 Feb 2024, Shift 2 · Q34A body of mass $4$ kg experiences two forces $\vec{F}_1 = 5\hat{i} + 8\hat{j} + 7\hat{k}$ and…EasySingle correct
25 Jun 2022, Shift 1 · Q60A force on an object of mass 100 g is $(10\,\hat{i}+5\hat{j})$ N. The position of that object at t = 2 s is $(a\hat{i}+b\hat{j})$ m after…EasyNumerical value
26 Feb 2021, Shift 1 · Q22A boy pushes a box of mass 2 kg with a force $\vec{F}=\left(20\hat{i}+10\hat{j}\right)$ N on a frictionless surface. If the box was…EasyNumerical value
26 Feb 2021, Shift 2 · Q10Two masses A and B, each of mass M are fixed together by a massless spring. A force acts on the mass B as shown in figure. If the mass A…MediumDiagram basedHas a figure
25 Jul 2021, Shift 2 · Q6A force $\vec{F} = (40\hat{i} + 10\hat{j})$ N acts on a body of mass 5 kg. If the body starts from rest, its position vector $\vec{r}$ at…EasySingle correct
16 Mar 2021, Shift 2 · Q23A body of mass 2 kg moves under a force of $(2\hat{i}+3\hat{j}+5\hat{k})$ N. It starts from rest and was at the origin initially. After 4…EasyNumerical value

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.