CBSE Class 12 Physics sample paper 2025-26: question 21(I)
From the official CBSE sample question paper for 2025-26, section B, question 21(I), for 2 marks. Try it first; the hints and our step-by-step solution are below.
Q21(I) · 2 marks · Very short answerAtoms
How does the impact parameter affect the trajectory of a α – particles scattered by a heavy nucleus? What is the value of impact parameter for head on collision of α – particles with the nucleus?
Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2025-26.
Hints
Open one hint at a time and try again before the next.
Hint 1
Impact parameter is the perpendicular distance of the initial velocity from the centre of the nucleus.
Hint 2
Closer approach means stronger Coulomb repulsion.
Step-by-step solution
Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.
- 1 mark
The smaller the impact parameter , the closer the α-particle passes to the nucleus, the stronger the repulsion and the larger the scattering angle; as large, the α-particle is hardly deflected and nearly keeps its original straight path.
- 1 mark
For a head-on collision, the impact parameter is zero () and the α-particle rebounds back (scattering angle ≈ 180°).
Answer: Smaller b → larger deflection; larger b → small deflection; b = 0 for head-on collision
Where the marks are
- Relation between impact parameter and scattering angle (1 mark)
- Impact parameter zero for head-on collision (1 mark)
Revise the chapter
- Chapter: Atoms (notes, formulas, where marks are lost and every past question)
- Topic: Alpha-Particle Scattering and Rutherford's Model
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