JEE Main 2022 · PhysicsNumerical answerNumerical valueMediumMulti-step

JEE Main 30 July 2022, Shift 2, Physics Q29

Question 29 of 90 in this shift, Physics question 29 of 30, Section B.

A body moving horizontally on a smooth surface with a speed of 20 ms

^{-1}

splits into two parts and continue to move in the same direction . The masses of two parts are in the ratio of 1:2. The smaller part moves with a speed of 30 ms

^{-1}

. The fractional change is the kinetic energy is given by

\frac{1}{x}

. The value of

x

is______

Official answer

NTA final key.

Chapter: Work, Energy and Power
Topic: Collisions
Idea tested: Momentum in Explosions

Same idea in other shifts

Asked 7× in all

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31 Jan 2024, Shift 1 · Q35An artillery piece of mass $M_1$ fires a shell of mass $M_2$ horizontally. Instantaneously after the firing, the ratio of kinetic energy…EasySingle correct
29 Jun 2022, Shift 1 · Q32A body of mass M at rest explodes into three pieces, in the ratio of masses $1 : 1 : 2$ . Two smaller pieces fly off perpendicular to each…EasySingle correct
31 Aug 2021, Shift 2 · Q8A block moving horizontally on a smooth surface with a speed of $40$ m/s splits into two parts with masses in the ratio of $1:2$ . If the…MediumSingle correct
22 Jul 2021, Shift 2 · Q15A bullet of ‘4 g’ mass is fired from a gun of mass 4 kg. If the bullet moves with the muzzle speed of $50\ \mathrm{ms^{-1}}$ , the impulse…EasySingle correct
18 Mar 2021, Shift 1 · Q22A ball of mass 10 kg moving with a velocity $10\sqrt{3}$ m/s along the $x$ -axis, hits another ball of mass 20 kg which is at rest. After…MediumNumerical valueHas 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.