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1. Standing wave resonance can be heard when singing in the shower. Assume your shower stall has dimensions 86cm * 16cm* 210 cm. Which frequencies will sound loudest when singing? Assume the range of your voices is 130Hz to 2000Hz and let the speed of sound in the hot shower be 355m/s

2. A radio telescope sited on the edge of a cliff overlooking the sea operates on a wavelength of 100m. A radio star rises above the sea-side horizon and is tracked by the telescope. The first minimum of the reveived signal occurs when the star is 30 degree above the horizontal.

a) describe why the minimum occurs

b) when electromagnetic waves reflect off water they undergo a phase change of pie. what does this due to the conditions for constructive and destructive interference?

c) Determine the height of the cliff

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