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Saturday, 31 October

JEE Main 2020 · PhysicsMultiple choiceSingle correctEasyCalculation

JEE Main 3 September 2020, Shift 2, Physics Q18

Question 18 of 75 in this shift, Physics question 18 of 25.

The radius R of a nucleus of mass number A can be estimated by the formula R=(1.3×10−15)A1/3R = (1.3 \times 10^{-15})A^{1/3} m. It follows that the mass density of a nucleus is of the order of : (Mprot.≅Mneut.≃1.67×10−27M_{\mathrm{prot.}} \cong M_{\mathrm{neut.}} \simeq 1.67 \times 10^{-27} kg)
  1. (1)10310^{3} kg m−3^{-3}
  2. (2)101010^{10} kg m−3^{-3}
  3. (3)101710^{17} kg m−3^{-3}Official answer
  4. (4)102410^{24} kg m−3^{-3}

Official answer

Option 3

NTA final key (Sep 2020).

Chapter
Nuclei

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. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.