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

A string of length 1.5 m and mass 15 g is stretched with a tension of 60 N. Find the speed v of transverse waves on it.

L = 1.5 mm = 15 gT = 60 N

v = m/s

2.Easy

A water wave has a frequency of 1 Hz and travels at 0.5 m/s. Find its wavelength λ.

f = 1 Hzv = 0.5 m/s

λ = m

3.Medium

An object 5 cm tall stands 4 cm in front of a thin converging lens with a focal length of 8 cm. Find the image height h_i (negative for an inverted image).

h_o = 5 cmd_o = 4 cmf = 8 cm

h_i = cm

4.Medium

An object stands 50 cm in front of a thin converging lens with a focal length of 8 cm. Find the image distance d_i. Use the sign convention 1/f = 1/d_o + 1/d_i (f < 0 for a diverging lens, d_i < 0 for a virtual image).

d_o = 50 cmf = 8 cm

d_i = cm

5.Hard

An object is 5 cm in front of a concave mirror with a radius of curvature of 30 cm. Find the image distance d_i, positive for an image in front of the mirror (real) and negative for one behind it (virtual).

d_o = 5 cmR = 30 cm

d_i = cm

6.Hard

Light of wavelength 650 nm passes through a single slit 0.05 mm wide. Find the angle θ₃ of dark fringe number 3 from the straight-through direction.

λ = 650 nma = 0.05 mmm = 3

θ₃ = °

Answer key

1. v = 77.46 m/s
2. λ = 0.5 m
3. h_i = 10 cm
4. d_i = 9.524 cm
5. d_i = −7.5 cm
6. θ₃ = 2.235 °

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