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Question 19M.2.SL.TZ2.3b

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Date May 2019 Marks available [Maximum mark: 2] Reference code 19M.2.SL.TZ2.3b
Level SL Paper 2 Time zone TZ2
Command term Calculate Question number b Adapted from N/A
b.
[Maximum mark: 2]
19M.2.SL.TZ2.3b

The diagram shows the direction of a sound wave travelling in a metal sheet.

(b)

The wave is incident at point Q on the metal–air boundary. The wave makes an angle of 54° with the normal at Q. The speed of sound in the metal is 6010 m s–1 and the speed of sound in air is 340 m s–1. Calculate the angle between the normal at Q and the direction of the wave in air.

[2]

Markscheme

sin ⁡ θ = 340 6010 × sin ⁡ 54 ∘   ✔

θ = 2.6° ✔

Examiners report

Many scored full marks on this question. Common errors were using the calculator in radian mode or getting the equation upside down.

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