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Saturday, 31 October

JEE Main 2022 · PhysicsMultiple choiceDiagram basedEasyData or graph

JEE Main 25 June 2022, Shift 2, Physics Q47

Question 47 of 90 in this shift, Physics question 17 of 30, Section A.

Which of the following figure represents the variation of ln⁡(RR0)\ln\left(\frac{R}{R_0}\right) with lnA\mathrm{l}_n A (if RR = radius of a nucleus and AA = its mass number)

The figure, in words

Each option is a separate set of axes: vertical axis labelled ln(R/R_0) with an upward arrow, horizontal axis labelled ln A with a rightward arrow, origin marked O. Options A to D are the four curves described in the option text.
  1. (1)[figure: graph of ln(R/R_0) vs ln A, curve rising with increasing slope (bending upward), starting low near the horizontal axis and ending high at the right]
  2. (2)[figure: graph of ln(R/R_0) vs ln A, a straight line rising from lower left to upper right]Official answer
  3. (3)[figure: graph of ln(R/R_0) vs ln A, curve rising steeply at first and then flattening (bending downward), starting low near the vertical axis]
  4. (4)[figure: graph of ln(R/R_0) vs ln A, curve starting high at the left and falling with increasing steepness toward the horizontal axis at the right]

Official answer

Option 2

NTA final key.

Chapter
Nuclei
Topic
Nuclear Binding Energy
Idea tested
Nuclear Radius and Density

Same idea in other shifts

Asked 10× in all
  1. 7 Apr 2025, Shift 2 · Q44Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The density of…EasyAssertion–reason
  2. 8 Apr 2025, Shift 2 · Q44For a nucleus of mass number A and radius R, the mass density of nucleus can be represented asEasySingle correct
  3. 1 Feb 2024, Shift 1 · Q60The radius of a nucleus of mass number 64 is 4.8 fermi. Then the mass number of another nucleus having radius of 4 fermi is…EasyNumerical value
  4. 31 Jan 2024, Shift 2 · Q47The mass number of nucleus having radius equal to half of the radius of nucleus with mass number 192 is:EasySingle correct
  5. 31 Jan 2024, Shift 2 · Q60A nucleus has mass number A1A_1 and volume V1V_1. Another nucleus has mass number A2A_2 and Volume V2V_2. If relation between mass number…EasyNumerical value
  6. 11 Apr 2023, Shift 2 · Q55A nucleus disintegrates into two nuclear parts, in such a way that ratio of their nuclear sizes is 1:21/31 : 2^{1/3}. Their respective speed…MediumNumerical value
  7. 26 Jul 2022, Shift 2 · Q49Mass numbers of two nuclei are in the ratio of 4:3. Their nuclear densities will be in the ratio ofEasySingle correct
  8. 29 Jul 2022, Shift 2 · Q41Read the following statements: (A) Volume of the nucleus is directly proportional to the mass number. (B) Volume of the nucleus is…EasyOther

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.