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Question 17N.3.HL.TZ0.8a

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Date November 2017 Marks available [Maximum mark: 2] Reference code 17N.3.HL.TZ0.8a
Level HL Paper 3 Time zone TZ0
Command term Outline Question number a Adapted from N/A
a.
[Maximum mark: 2]
17N.3.HL.TZ0.8a

The Schwarzschild radius of a black hole is 6.0 x 105 m. A rocket is 7.0 x 108 m from the black hole and has a clock. The proper time interval between the ticks of the clock on the rocket is 1.0 s. These ticks are transmitted to a distant observer in a region free of gravitational fields.

(a)

Outline why the clock near the black hole runs slowly compared to a clock close to the distant observer.

[2]

Markscheme

this is gravitational time dilation

OR

black hole gives rise to a «strong» gravitational field

clocks in stronger field run more slowly

OR

the clock «signal» is subject to gravitational red-shift

the clock is subject to gravitational red shift

OR

the clock has lost gravitational potential energy in moving close to the black hole

[Max 2 Marks]

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