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Would the Bohr formula for the H-atom re...

Would the Bohr formula for the H-atom remain unchanged if proton had a charge `(+4//3) e` and electron a charge `(-3//4) e`, where `e = 1.6 xx 10^(-19) C`. Given reasons for you answer.

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To determine whether the Bohr formula for the hydrogen atom remains unchanged when the proton has a charge of \( +\frac{4}{3} e \) and the electron has a charge of \( -\frac{3}{4} e \), we can analyze the situation step by step. ### Step 1: Understand the Bohr Model The Bohr model describes the hydrogen atom as an electron revolving around a nucleus (proton) due to the electrostatic force of attraction between them. The key equation in the Bohr model relates the electrostatic force to the centripetal force required to keep the electron in circular motion. ### Step 2: Write the Electrostatic Force Equation The electrostatic force \( F \) between two charges \( Q_1 \) and \( Q_2 \) separated by a distance \( r \) is given by Coulomb's law: \[ ...
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(a) Estimate the speed with which electrons emitted from a heated cathode of an evacuated tube impinge on the anode maintained at a potential difference of 500 V with respect to the cathode. Ignore the small initial speeds of the electrons. The specific charge to of the electron, i.e., its e//m is given to 1.76xx10^(11)Ckg^(-1) . (b) Use the same formula you employ in (a) to obtain electron speed for an anode potential of 10 MV. Do you see what is wrong? In what way is the formula to be modified?

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