Waves, sound & optics worksheet with answers

Free printable Waves, sound & optics worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy

Find the speed v of light in water, which has a refractive index of 1.33.

n = 1.33c = 3.00 × 10⁸ m/s

v = m/s

2.Easy

A light ray in acrylic (n = 1.49) strikes a flat boundary with crown glass (n = 1.50) at 40° to the normal. Find the angle of refraction θ₂, measured from the normal.

n₁ = 1.49n₂ = 1.50θ₁ = 40°

θ₂ = °

3.Medium

Light travels in ethanol (n = 1.36) towards a flat boundary with air (n = 1.00). Find the critical angle θ_c beyond which it is totally reflected.

n₁ = 1.36n₂ = 1.00

θ_c = °

4.Medium

Light travels in flint glass (n = 1.62) towards a flat boundary with crown glass (n = 1.50). Find the critical angle θ_c beyond which it is totally reflected.

n₁ = 1.62n₂ = 1.50

θ_c = °

5.Hard

Light of wavelength 633 nm falls on two slits 0.2 mm apart. The screen is 1 m away. Find the distance y₄ from the central bright fringe to bright fringe number 4.

λ = 633 nmd = 0.2 mmL = 1 mm = 4

y₄ = mm

6.Hard

Two thin lenses share an axis, 25 cm apart: lens 1 with f₁ = 8 cm and lens 2 with f₂ = 8 cm. An object stands 25 cm in front of lens 1. Find the position d_i2 of the final image measured from lens 2 (positive beyond lens 2, real-is-positive convention).

f₁ = 8 cmf₂ = 8 cms = 25 cmd_o = 25 cm

d_i2 = cm

Answer key

1. v = 2.256 × 10⁸ m/s
2. θ₂ = 39.68 °
3. θ_c = 47.33 °
4. θ_c = 67.81 °
5. y₄ = 12.66 mm
6. d_i2 = 20.22 cm

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