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Saturday, 31 October

JEE Main 2024 · PhysicsMultiple choiceSingle correctEasyApplication

JEE Main 9 April 2024, Shift 2, Physics Q34

Question 34 of 90 in this shift, Physics question 4 of 30, Section A.

A 11 kg mass is suspended from the ceiling by a rope of length 44 m. A horizontal force FF is applied at the mid point of the rope so that the rope makes an angle of 45∘45^\circ with respect to the vertical axis as shown in figure. The magnitude of FF is : (Assume that the system is in equilibrium and g=10 m/s2g=10\ \mathrm{m/s^2})

The figure, in words

Rope hangs from ceiling at 45 deg to the vertical (tension T1); a 1 kg mass hangs below on a vertical rope segment (tension T2); horizontal force F pulls to the left at the junction (mid point of the rope).
  1. (1)1010 NOfficial answer
  2. (2)102\frac{10}{\sqrt{2}} N
  3. (3)110×2\frac{1}{10\times\sqrt{2}} N
  4. (4)11 N

Official answer

Option 1

NTA final key.

Chapter
Laws of Motion
Topic
Newton's Laws of Motion
Idea tested
Static Equilibrium

Same idea in other shifts

Asked 5× in all
  1. 12 Apr 2023, Shift 1 · Q45Three forces F1F_1=10 N, F2F_2=8 N, F3F_3=6 N are acting on a particle of mass 5 kg. The forces F2F_2 and F3F_3 are applied…EasySingle correct
  2. 25 Jul 2022, Shift 1 · Q52Four forces are acting at a point P in equilibrium as shown in figure. The ratio of force F1F_1 to F2F_2 is 1:x1:x where x=x= ______.EasyNumerical valueHas a figure
  3. 25 Jul 2022, Shift 2 · Q35For a free body diagram shown in the figure, the four forces are applied in the 'x' and 'y' directions. What additional force must be…EasySingle correctHas a figure
  4. 31 Aug 2021, Shift 2 · Q3Statement I : If three forces F1⃗\vec{F_1}, F2⃗\vec{F_2} and F3⃗\vec{F_3} are represented by three sides of a triangle and…EasyTwo statements

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.