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In an early model of the hydrogen atom (the
r = n2a0, for n = 1, 2, 3, …,
where a0 = 52.92 pm. What is the speed of the electron if it orbits in (a) the smallest allowed orbit and (b) the second smallest orbit? (c) If the electron moves to larger orbits, does its speed increase, decrease, or stay the same?
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- Suppose an electron (q= -e= -1.6 x 10-19 C,m=9.1x 10-31 kg) is accelerated from rest through a potential difference of Vab = +5000 V. Solve for the final speed of the electron. Express numerical answer in two significant figures. The potential energy U is related to the electron charge (-e) and potential Vab is related by the equation: U = Assuming all potential energy U is converted to kinetic energy K, K +U = 0 K = -U Since K- and using the formula for potential energy above, we arrive at an equation for speed: v = ( 51/2 Plugging in values, the value of the electron's speed is: V= x 107 m/sarrow_forwardSo Prof. P takes 2 handy metal plates and places them parallel to each other. He carefully adjusts them so they are 8.53 cm apart from each other and whips up a power supply to create a electric potential of 93 Volts between the plates. He notices there is a tiny hole on the positive plate so he decides to shoot a strangely handy electron straight through the hole at 3,950,851 m/s. Why? Who knows? How far in meters will the hapless electron travel from the positive plate until it stops?arrow_forwardIn nuclear fission, a nucleus splits roughly in half. A. What is the potential 4.00 x 10-14 m from a fragment that has 50 protons in it? (p=+1.602x10-19 C) →Why 1.8 MV is the answer for this problem?arrow_forward
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- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
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