Mechanical waves (Frequency Period Wavelength The wave speed) – Problems and Solutions

3 Mechanical waves (Frequency Period Wavelength The wave speed) – Problems and Solutions

1. Two corks are on the crests of the waves. Both move up and down over the surface of sea 20 times in 4 seconds. If the distance of both corks is 100 cm and between them, there are two troughs and one crest, determine the wave frequency and the wave speed.

Mechanical waves (frequency, period, wavelength, the wave speed) 1Known :

Both corks are at the tops of the waves and between the two corks, there are 2 troughs and 1 crest (see figure). So there are two wavelengths between the two corks.

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Young’s double-slit experiment – problems and solutions

1. d is the distance between 2 slits, L is the distance between the slit and the viewing screen, P2 is the distance between the second-order fringe and the center of the screen. Determine the wavelength of light (1 Å = 10-10 m).

Known :Young’s double-slit experiment - problems and solutions 1

Distance between two slits (d) = 1 mm = 1 x 10-3 m

Distance between slit and the viewing screen (L) = 1 m

Distance between the second-order fringe and the central fringe (P2) = 1 mm = 1 x 10-3 m

Order (n) = 2

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Rolling motion – problems and solutions

1. A hollow cylindrical object (I = m R2) moves to roll without slipping up a rough inclined plane with an initial velocity of 10 m/s. The inclined plane has an elevation angle θ with tan θ = 0.75. If the gravitational acceleration g = 10 m.s-2, the velocity of the object is reduced to 5 m.s-1 then the distance on the inclined plane of the object is…

Known :

Moment of inertia of the hollow cylinder (I) = m R2

Elevation angle = θ , where tan θ = 0.75 = 75/100 = opp / adj

Sin θ = opp / hyp = 75/125 = 3/5 = 0.6

Acceleration due to gravity (g) = 10 m/s2

Initial velocity (vo) = 10 m/s

Final velocity (vt) = 5 m/s

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