DP Physics (last assessment 2024)

Test builder »

Question 19M.3.SL.TZ2.14

Select a Test
Date May 2019 Marks available [Maximum mark: 6] Reference code 19M.3.SL.TZ2.14
Level SL Paper 3 Time zone TZ2
Command term Calculate, Outline, Show that Question number 14 Adapted from N/A
14.
[Maximum mark: 6]
19M.3.SL.TZ2.14

The Hubble constant is 2.3 × 10-18 s-1.

(ai)

A galaxy is 1.6 × 108 ly from Earth. Show that its recessional speed as measured from Earth is about 3.5 × 106 m s-1.

[2]

Markscheme

d = «1.6 × 108 × 9.46 × 1015 =» 1.51 × 1024 «m»✔

v = «H0d = 2.3 × 10−18 ×1.5 × 1024 =» 3.48 × 106 «m s–1» ✔

Answer given, correct working required or at least 3sf needed for MP2.

Examiners report

This very simple application of Hubble’s law was answered correctly by the vast majority of candidates.

(aii)

A line in the hydrogen spectrum when measured on Earth has a wavelength of 486 nm. Calculate, in nm, the wavelength of the same hydrogen line when observed in the galaxy’s emission spectrum.

[2]

Markscheme

Δ λ = « λ 0 v c = 4.86 × 10 7 × 3.48 × 10 6 3 × 10 8 = » 5.64«nm»  

observed λ = «486 + 5.64 =» 492 «nm»✔

Examiners report

Many candidates subtracted the change in wavelength and obtained a blue shift. Others were unsure which wavelength λo is in the data book equation. But correct answers were common.

The Hubble constant is 2.3 × 10-18 s-1.

(b)

Outline how observations of spectra from distant galaxies provide evidence that the universe is expanding.

[1]

Markscheme

all distant galaxies exhibit red-shift ✔

OWTTE

(b)

Outline how observations of spectra from distant galaxies provide evidence that the universe is expanding.

[1]

Markscheme

all distant galaxies exhibit red-shift ✔

OWTTE

Examiners report

Nearly all candidates were able to mention redshift as the evidence for galaxy recession and the universe expansion.