A spacecraft of mass 4000 kg is designed in ISRO. The maximum possible design speed of this spacecraft is equal to the speed of an a -particle that travels towards the nucleus of a copper atom and arrives at a distance 10 -12 m from the nucleus of the copper atom, as per the Bohr model. The kinetic energy of the spacecraft for the Q. maximum speed is: (Take mass of alpha particle = 6.6×10²7 kg , 14nɛ0=9x109 N m2 C-2 %3D and charge of proton = 1.6×10-19 C) %3D 5.09x10'5 J O 6.23×10'5 J 7.18×105 J 8.20x10'5 J

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A: Solution Explanation:

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de Broglie Equation

The sketch of matter waves is drawn below: