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The radius of germanium nuclide is measured to be twice the radius of ₄⁹Be. The number of nucleons in Ge are
Options
(a) 72
(b) 73
(c) 74
(d) 75
Correct Answer:
72
Explanation:
Nuclear radii R = R₀(A)¹/³, where R₀ = 1.2 Fm
(or), R ∝ (A)¹/³
Rʙₑ / Rɢₑ = (9)¹/³ / (A)¹/³ (or), Rʙₑ / 2Rʙₑ = (9)¹/³ / (A)¹/³ (Given: Rɢₑ = 2Rʙₑ)
(A)¹/³ = 2 × (9)¹/³ ⇒ A = 2³ × 9 = 8 × 9 = 72
Related Questions: - The binding energy per nucleon in deuterium and helium nuclei are 1.1 MeV and 7.0 MeV
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Topics: Atoms and Nuclei
(136)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- The binding energy per nucleon in deuterium and helium nuclei are 1.1 MeV and 7.0 MeV
- A source of sound S emitting waves of frequency 100 Hz and an observer
- The threshold wavelength for photoelectric effect of a metal is 6500 Å. The work function
- Monochromatic light of wavelength 667 nm is produced by a helium neon laser
- A body is thrown with a velocity of 9.8 m/s making angle of 30° with the horizontal
Topics: Atoms and Nuclei (136)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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Nuclear Radius, R=Ro(A)1/3, where Ro ~ 1.2fm (fermi unit=10-15)
Or R=(A)1/3.
RBe /RGe = (9)1/3/(A)1/3
RBe /2 RBe = (9)1/3/(A)1/3 …-(Given: RBe: RGe = 1:2)
Or (A)1/3 = 2*(9)1/3
Hence, A=23 * 9
=8*9
=72.
Hence, the number of nucleons is 72.