b) De Broglie explained the Bohr model of the hydrogen atom by attributing a wavelength > toa particle, with the value of X coming from the momentum p = mv as λ = h/p.i)Calculate the de Broglie wavelength of a bird (a racing pigeon) that weighs 0.350 kgand flies at 100 km per hour.ii)Equating the centripetal force on an electron orbiting around a proton with the Coulombforce gives the expression v² = e²/(4πomer). Calculate the speed of an electron or-biting at the Bohr radius, TB = 0.053 nm.iii) Calculate the momentum and the de Broglie wavelength of an electron moving at thespeed you obtain in (ii).iv) Compare the wavelength you obtain in (iii) with the circumference of the orbit. Com-ment on this comparison. Explain briefly what it implies about the possible orbits ofthe Bohr model and how the higher orbits might be predicted.[10 marks]

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b) De Broglie explained the Bohr model of the hydrogen atom by attributing a wavelength > to a particle, with the value of coming from the momentum p = mv as λ = h/p. i) Calculate the de Broglie wavelength of a bird (a racing pigeon) that weighs 0.350 kg and flies at 100 km per hour. ii) Equating the centripetal force on an electron orbiting around a proton with the Coulomb force gives the expression v² = ²/(4πomer). Calculate the speed of an electron or- biting at the Bohr radius, r = 0.053 nm. iii) Calculate the momentum and the de Broglie wavelength of an electron moving at the speed you obtain in (ii). iv) Compare the wavelength you obtain in (iii) with the circumference of the orbit. Com- ment on this comparison. Explain briefly what it implies about the possible orbits of the Bohr model and how the higher orbits might be predicted.

b) De Broglie explained the Bohr model of the hydrogen atom by attributing a wavelength > to a particle, with the value of coming from the momentum p = mv as λ = h/p. i) Calculate the de Broglie wavelength of a bird (a racing pigeon) that weighs 0.350 kg and flies at 100 km per hour. ii) Equating the centripetal force on an electron orbiting around a proton with the Coulomb force gives the expression v² = ²/(4πomer). Calculate the speed of an electron or- biting at the Bohr radius, r = 0.053 nm. iii) Calculate the momentum and the de Broglie wavelength of an electron moving at the speed you obtain in (ii). iv) Compare the wavelength you obtain in (iii) with the circumference of the orbit. Com- ment on this comparison. Explain briefly what it implies about the possible orbits of the Bohr model and how the higher orbits might be predicted.