Early in the 20th century, a leading model of the structure of the atom was that of English physicist J. J. Thomson (the discoverer of the electron). In Thomson’s model, an atom consisted of a sphere of positively charged material in which were embedded negatively charged electrons, like chocolate chips in a ball of cookie dough. Consider such an atom consisting of one electron with mass m and charge -e, which may be regarded as a point charge, and a uniformly charged sphere of charge +e and radius R. By that time time, it was known that excited atoms emit light waves of only certain frequencies. In his model, the frequency of emitted light is the same as the oscillation frequency of the electron (s) problems in the atom. What radius (in millimeter) would a Thomson-model atom need for it to produce red light of frequency 4.57 x 1014 Hz? (Don't express your answer in scientific notation)

Early in the 20th century, a leading model of the structure of the atom was that of English physicist J. J. Thomson (the discoverer of the electron). In Thomson’s model, an atom consisted of a sphere of positively charged material in which were embedded negatively charged electrons, like chocolate chips in a ball of cookie dough. Consider such an atom consisting of one electron with mass m and charge -e, which may be regarded as a point charge, and a uniformly charged sphere of charge +e and radius R. By that time time, it was known that excited atoms emit light waves of only certain frequencies. In his model, the frequency of emitted light is the same as the oscillation frequency of the electron (s) problems in the atom. What radius (in millimeter) would a Thomson-model atom need for it to produce red light of frequency 4.57 x 1014 Hz? (Don't express your answer in scientific notation)

Similar questions

An electric field of magnitude 457 V/m passing through a flat square plate of length 0.556 m on a side makes an angle of 63.8 degrees with the surface of plate. Determine the electric flux passing through the surface of the square plate. (Hint: the angle given here is the angle that the field makes with the surface, not with the area vector. In what direction does the area vector of a surface point relative to that surface?)
At some instant the velocity components of an electron moving between two charged parallel plates are v. and vy. Suppose the electric field between the plates is E (it is uniform and points only in the y direction). NOTE: Express your answers in terms of the given variables, using e for the fundamental charge and me for the mass of an electron. (a) What is the magnitude of the acceleration of the electron? E a= X me (b) What is the y-component of electron's velocity when its x coordinate has changed by a distance d? Ed Vd=vy + X Ux me
Refer to the figure below. The charge lowered into the center of the hollow conductor has a magnitude of 2.3 µC. Find the magnitude and sign of the charge on the inside and outside of the hollow conductor when the charge is as shown in the following images. (a) Figure (a) Inside: µC Outside: µC (b) Figure (b) Inside: µC Outside: µC (c) Figure (c) Inside: µC Outside: µC (d) Figure (d) Inside: µC Outside: µC
Consider the two charges in the figure, which are moving in opposite directions and located a distance 11 cm on either side of the origin of the given coordinate system. Charge one is 19.5 uC and is moving at a speed 19.5 x U2 10° m/s, and charge two is -8.5 µC and is moving at a speed of 6.5 x 106 m/s. Notice that the positive z-direction in this figure is directed out of the page. 92 d What is the total magnetic field, in the z-direction, at a point Q located a distance 45 cm down the x-axis, as shown? d 91
Find the position vector r(arrow) that points from Proton 1 to the Proton 2, its magnitude |r(arrow)∣, and its unit vector, r(hat). Look at the image for the question.
An electric field of magnitude 464 V/m passing through a flat square plate of length 0.644 m on a side makes an angle of 63.6 degrees with the surface of plate. Determine the electric flux passing through the surface of the square plate. (Hint: the angle given here is the angle that the field makes with the surface, not with the area vector. In what direction does the area vector of a surface point relative to that surface?)
A small rod of length 1.0 cm is placed along the x-axis and has a linear charge density given by λ=αx, where α=3.0 C/cm^2 and x is measured from the center of the rod.
Say you have a point charge of one Coulomb and a hydrogen atom some distance away. Within what distance would the difference of forces on the proton and electron from the Coulomb charge exceed the attraction between the proton and electron that holds the hydrogen atom together. Treat the hydrogen atom as a proton and electron 0.53 × 10−10 m (a.k.a., one Bohr radius) apart.
A disk with radius R and uniform positive charge density o lies horizontally on a tabletop. A small plastic sphere with mass M and positive charge hovers motionless above the center of the disk, suspended by the Coulomb repulsion due to the charged disk. At what height h does the sphere hover? Express your answer in terms of the dimensionless constant v = 20 Mg/ (Qo). Express your answer in terms of some or all of the variables R and v. h = R- 1-v √(2-v)v Submit Part C h = Previous Answers Correct If M = 300 g, Q = 1.0 μC, R = 6.0 cm, and o = 10 nC/cm², what is h? Express your answer with the appropriate units. μᾶ Value 2 Units Submit Previous Answers Request Answer ? <
A ball of conductor of radius RE has total Charge 2Q and a concentric spherical cavity of radius R₁ > RE. At the exact center of the cavity is a charge 3Q. Find the charge q at the radius RE and supply the missing numerical factor below. q=1 Q
A water molecule with any spatial orientation is placed nearby a spherical distribution of charges Q. Describe the dynamic behavior (rotation and translation) of the water molecule.
In the early 1900's Robert Millikan discovered the peculiar property that charge came in little packets, no smaller than e = 1.602 x 10-19 C -- he had measured the charge of the electron. Here's (roughly) how he did it. He removed an electron from an initially neutral droplet of oil with diameter 0.5 ??μm. In a vacuum, he positioned the droplet between two metallic plates separated by 6 mm and fiddled with the potential (voltage) across the plates until the droplet would hover against the force of gravity. Droplets of this size with +e charge would hover, but only for a particular voltage (otherwise they would sink or rise). Given the parameters stated here, and the fact that the density of the oil was 831 kg/m3, what was the voltage that made the droplets hover? (give your answer with 0.1 V precision)