Define what is meant by electric potential at a point.
- (a)Define what is meant by electric potential at a point.[2]
- (b)(i)the initial kinetic energy E_K, in J, of an α-particle emitted from the source E_K = ..................................................... J [1][1]
- (b)(ii)the distance d of closest approach of an α-particle to a gold nucleus. d = ..................................................... m [4][4]
- (c)Use your answer in (b)(ii) to comment on the possible diameter of a gold nucleus.[1]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2019). The mark or mark type is shown in brackets.
- [B1] work done per unit charge
- [B1] (work done) moving positive charge from infinity
- [A1] energy = 4.8 × 1.60 × 10⁻¹³ = 7.7 × 10⁻¹³ J
- [C1] E_p = Qq / 4πε₀d
- [C1] Q=79e and q=2e
- [C1] 7.68 × 10⁻¹³ = (79 × 2 × {1.60 × 10⁻¹⁹}² / (4π × 8.85 × 10⁻¹² × d)
- [A1] d = 4.7 x 10⁻¹⁴ m
- [B1] (diameter must be) less than/equal to 10⁻¹³ or 10⁻¹⁴ m
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