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Question: An electron at rest is released far away from a proton, toward which it moves.
(a) Show that the de Broglie wavelength of the electron is proportional to r, wherer is the distance of the electron from the proton.
(b) Find the wavelength of the electron when it isa0 from the proton. How does this compare with the wavelength of an electron in a ground-state Bohr orbit?
(c) In order for the electron to be captured by the proton to form a ground-state hydrogen atom, energy must be lost by the system. How much energy?
Starting with the following equations that describe the electric and magnetic fields for a region of space with no charge or current. Show that the magnetic field B obeys the travelling wave equation.
a 5-microf capacitor is charged to 30 v and is then connected across a 10-microh inductor. the maximum value of the
Consider a sphere of radius R=5.5 m where a charge Q=7.0 microcoulombs is uniformly distributed through the volume of the sphere. What is the magnitude of the electric field at a point half way between the center of the sphere and the surface
spring stretches by 0.0186 m when a 3.24-kg object is suspended from its end. How much mass should be attached to this spring so that its frequency of vibration is f = 5.53 Hz
A horizontal force of 822 N is needed to drag a crate across a horizontal floor with the constant speed. You drag the crate using a rope held at an angle of 34° (from the horizontal).
A uniform disc of radius R is spinned to the angular velocity ? and then carefully placed on a horizontal surface. How long will the disc be rotating on the surface if the friction coefficient is equal to k? The pressure exerted by the disc on the..
A car (m = 1,100 kg) is traveling at an initial speed of 12 m/s. It then slows to a stop over a distance of 86 m due to a force from the brakes. How much work is done on the car
What is the gravitational force between two 20 kg iron balls separated by a distance of 0.5m? The gravitational constant is G = 6.67×10^-11 N-m^2/kg^2
A particle is connected between two springs on a frictionless, horizontally level track. determine what is the mass of the particle
What is the rotational speed of the hand on a clock that measures the seconds?
A flywheel has zero thickness at the center and is h thick at the edge, and has a radius R, and has a total mass M. Calculate the energy stored if it rotates in time T
If you throw a ball up with 10m/s an a kid runs after the ball with 5 m/s, at what angle would the kid throw the ball to catch it 3 seconds later?
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