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Question 18N.3.HL.TZ0.7b

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Date November 2018 Marks available [Maximum mark: 3] Reference code 18N.3.HL.TZ0.7b
Level HL Paper 3 Time zone TZ0
Command term Determine Question number b Adapted from N/A
b.
[Maximum mark: 3]
18N.3.HL.TZ0.7b

A probe launched from a spacecraft moves towards the event horizon of a black hole.

(b)

The probe is stationary above the event horizon of the black hole in (a). The probe sends a radio pulse every 1.0 seconds (as measured by clocks on the probe). The spacecraft receives the pulses every 2.0 seconds (as measured by clocks on the spacecraft). Determine the distance of the probe from the centre of the black hole.

[3]

Markscheme

2 = 1 1 − 5.9 × 10 9 r ✔

rearranged to give r

OR

r = 1.33 × 5.9 × 109 «m» ✔

r = 7.9 × 109 «m» ✔

 

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