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Saturday, 31 October

JEE Main 2022 · PhysicsNumerical answerNumerical valueMediumMulti-step

JEE Main 27 July 2022, Shift 2, Physics Q60

Question 60 of 90 in this shift, Physics question 30 of 30, Section B.

Two inclined planes are placed as shown in figure. A block is projected from the Point A of inclined plane AB along its surface with a velocity just sufficient to carry it to the top Point B at a height 10 m. After reaching the Point B the block slides down on inclined plane BC. Time it takes to reach to the point C from point A is t(2+1)t(\sqrt{2}+1)s. The value of t is ___________. (use g=10g=10 m/s2^2)

The figure, in words

Two inclined planes AB (angle 45 degrees at A) and BC (angle 30 degrees at C) meeting at apex B, height of B above the base AC is 10 m; block at A on plane AB with arrow up the incline.

Official answer

2

NTA final key.

Chapter
Laws of Motion
Topic
Newton's Laws of Motion
Idea tested
Forces on a Smooth Incline

Same idea in other shifts

Asked 3× in all
  1. 27 Jul 2022, Shift 2 · Q34A block 'A' takes 2 s to slide down a frictionless incline of 30∘30^\circ and length 'l', kept inside a lift going up with uniform velocity…MediumSingle correct
  2. 29 Jul 2022, Shift 2 · Q44Two bodies of masses m1m_1 = 5 kg and m2m_2 = 3 kg are connected by a light string going over a smooth light pulley on a smooth inclined…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. This question needs a figure we do not reproduce; it is described in words above. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.