JEE Main 2021 · PhysicsMultiple choiceSingle correctMediumApplication

JEE Main 25 February 2021, Shift 1, Physics Q14

Question 14 of 90 in this shift, Physics question 14 of 30, Section A.

An engine of a train, moving with uniform acceleration, passes the signal-post with velocity

u

and the last compartment with velocity

v

. The velocity with which middle point of the train passes the signal post is :

(1) $\frac{u+v}{2}$
(2) $\frac{v-u}{2}$
(3) $\sqrt{\frac{v^{2}+u^{2}}{2}}$ Official answer
(4) $\sqrt{\frac{v^{2}-u^{2}}{2}}$

Official answer

Option 3

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

4 Apr 2024, Shift 2 · Q59A bus moving along a straight highway with speed of 72 $km/h$ is brought to halt within 4 $s$ after applying the brakes. The distance…EasyNumerical value
29 Jan 2024, Shift 1 · Q32A body starts moving from rest with constant acceleration covers displacement $S_1$ in first $(p-1)$ seconds and $S_2$ in first $p$ …MediumSingle correct
6 Apr 2023, Shift 2 · Q33A particle starts with an initial velocity of 10.0 ms $^{-1}$ along $x$ -direction and accelerates uniformly at the rate of 2.0 ms $^{-2}$ .…EasySingle correct
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
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.