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Question 22M.2.HL.TZ2.7b

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Date May 2022 Marks available [Maximum mark: 2] Reference code 22M.2.HL.TZ2.7b
Level HL Paper 2 Time zone TZ2
Command term Determine Question number b Adapted from N/A
b.
[Maximum mark: 2]
22M.2.HL.TZ2.7b

A metal sphere is charged positively and placed far away from other charged objects. The electric potential at a point on the surface of the sphere is 53.9 kV.

(b)

The electric potential at a point a distance 2.8 m from the centre of the sphere is 7.71 kV. Determine the radius of the sphere.

[2]

Markscheme

use of Vr = constant ✓

0.40 m ✓

 

Allow [1] max if r + 2.8 used to get 0.47 m.

Allow [2] marks if they calculate Q at one potential and use it to get the distance at the other potential.