JEE Main 2024 · PhysicsMultiple choiceSingle correctMediumMulti-step

JEE Main 29 January 2024, Shift 1, Physics Q32

Question 32 of 90 in this shift, Physics question 2 of 30, Section A.

A body starts moving from rest with constant acceleration covers displacement

S_1

in first

(p-1)

seconds and

S_2

in first

p

seconds. The displacement

S_1+S_2

will be made in time :

(1) $\sqrt{(2p^2-2p+1)}\ s$ Official answer
(2) $(2p-1)\ s$
(3) $(2p+1)\ s$
(4) $(2p^2-2p+1)\ s$

Official answer

Option 1

NTA final key.

Chapter: Motion in a Straight Line
Topic: Kinematics in 1D
Idea tested: Uniform Acceleration Equations

Same idea in other shifts

Asked 8× in all

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24 Jun 2022, Shift 2 · Q42An object of mass 5 kg is thrown vertically upwards from the ground. The air resistance produces a constant retarding force of 10 N…MediumSingle correct
29 Jun 2022, Shift 2 · Q31A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of 10m in $t$ s, the distance…EasySingle correct
25 Feb 2021, Shift 1 · Q14An engine of a train, moving with uniform acceleration, passes the signal-post with velocity $u$ and the last compartment with velocity…MediumSingle correct
26 Feb 2021, Shift 2 · Q12A scooter accelerates from rest for time $t_1$ at constant rate $a_1$ and then retards at constant rate $a_2$ for time $t_2$ and comes to…EasySingle correct
18 Mar 2021, Shift 1 · Q5The position, velocity and acceleration of a particle moving with a constant acceleration can be represented by :EasyDiagram basedHas a figure

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.