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Saturday, 31 October

JEE Main 2022 · PhysicsMultiple choiceDiagram basedHardData or graph

JEE Main 26 June 2022, Shift 1, Physics Q34

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

A ball is released from rest from point P of a smooth semi-spherical vessel as shown in figure. The ratio of the centripetal force and normal reaction on the ball at point Q is A while angular position of point Q is α\alpha with respect to point P. Which of the following graphs represent the correct relation between A and α\alpha when ball goes from Q to R ?

The figure, in words

Semicircular bowl with a horizontal top diameter; P at the left end of the diameter, O at the centre of the diameter, a further dot at the right end. Point Q on the arc lower left, point R lower down on the arc, joined to O by a dotted line. Line OQ is drawn solid and the angle alpha is marked at O between OP and OQ.
  1. (1)[figure: graph of A (vertical) vs alpha (horizontal); a curve starting high on the A axis and falling steeply then flattening, concave up]
  2. (2)[figure: graph of A vs alpha; a curve starting at the origin and rising, concave down, flattening toward the right]
  3. (3)[figure: graph of A vs alpha; a horizontal straight line parallel to the alpha axis]Official answer
  4. (4)[figure: graph of A vs alpha; a curve starting at a nonzero value on the A axis, concave down, falling to meet the alpha axis]

Official answer

Option 3

NTA final key.

Chapter
Laws of Motion
Topic
Circular Motion
Idea tested
Vertical Circular Motion

Same idea in other shifts

Asked 7× in all
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  3. 3 Aug 2021, Shift 1 · Q21The given figure shows a loop-the-loop track having radius 760 cmcm. A car without engine starts from a platform at a distance ‘hh' above…MediumNumerical valueHas a figure
  4. 4 Aug 2021, Shift 2 · Q25A small solid spherical marble of mass M and radius 5 cm rolls along loop track without slipping. The height above the base, from where it…HardNumerical valueHas a figure
  5. 27 Aug 2021, Shift 2 · Q23A bullet of 10 g, moving with velocity vv, collides head-on with the stationary bob of a pendulum and recoils with velocity 100 m/s. The…MediumNumerical valueHas a figure
  6. 25 Feb 2021, Shift 1 · Q24A small bob tied at one end of a thin string of length 1 m is describing a vertical circle so that the maximum and minimum tension in the…MediumNumerical value

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.