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Saturday, 31 October

JEE Main 2024 · PhysicsMultiple choiceSingle correctMediumMulti-step

JEE Main 5 April 2024, Shift 1, Physics Q35

Question 35 of 90 in this shift, Physics question 5 of 30, Section A.

Ratio of radius of gyration of a hollow sphere to that of a solid cylinder of equal mass, for moment of Inertia about their diameter axis AB as shown in figure is 8x\sqrt{\frac{8}{x}}. The value of xx is :

The figure, in words

Left: hollow sphere of mass M and radius R with axis AB along a diameter. Right: solid cylinder of radius R (diameter 2R) and length 4R with axis AB passing through its end face (perpendicular to cylinder axis, along the end-face diameter).
  1. (1)17
  2. (2)67Official answer
  3. (3)51
  4. (4)34

Official answer

Option 2

NTA final key.

Chapter
System of Particles and Rotational Motion
Topic
Moment of Inertia
Idea tested
Radius of Gyration

Same idea in other shifts

Asked 5× in all
  1. 6 Apr 2023, Shift 2 · Q52A ring and a solid sphere rotating about an axis passing through their centers have same radii of gyration. The axis of rotation is…MediumNumerical value
  2. 15 Apr 2023, Shift 1 · Q53A solid sphere and a solid cylinder of same mass and radius are rolling on a horizontal surface without slipping. The ratio of their…EasyNumerical value
  3. 26 Jul 2022, Shift 2 · Q52The radius of gyration of a cylindrical rod about an axis of rotation perpendicular to its length and passing through the center will be…EasyNumerical value
  4. 25 Jul 2021, Shift 1 · Q15Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Moment of inertia of…EasyAssertion–reason

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.