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What effect would you expect the rapid random motion of the atoms of an excited gas to have on the spectral lines they produce?


Find the quantum number that characterizes the earth's orbit around the sun. The earth's mass is 6.0 x 1024 kg, its orbital radius is 1.5 x 1011 m, and its orbital speed is 3.0 x 104 m/s.


In the Bohr model, the electron is in constant motion. How can such an electron have a negative amount of energy?


What is the shortest wavelength present in the Brackett series of spectral lines?


Consider the hydrogen atom in a magnetic field of strength 10 tesla. Calculate the energies (in Joule) of the possible 2p to 1s transitions. Value of β is 9.274*10^-24 J/T





Consider two steel balls. Ball 1 has a


weight of 1.5 N. Ball 2 has a weight


of 15 N. Both balls are released


simultaneously from a height of 2.0 m.


Which ball hits the ground first?



a) Ball 1 hits the ground first.


b) Ball 2 hits the ground first.


c) Both balls hit the ground at the


same time.


d) It can’t be determined from the


information provided.



I think the answer is (b).


Am I right?



A simple pendulum takes 23.5 seconds to complete 20 cycles. What is the period (T) and frequency of the pendulum?

4. A cylinder contains a hydrogen gas of volume 2.40  10−3 m3 at 17 C and 2.32 

106 Pa. Calculate

a. the number of moles of hydrogen in the cylinder,

b. the number of molecules of hydrogen in the cylinder,

c. the mass of the hydrogen (given the molar mass of hydrogen = 2 g mol−1).


Estimate the maximum core diameter for an optical fiber with refractive index difference of 1.45% and core refractive index of 1.52 in order that it may be suitable for single-mode operation when operating wavelength is 0.85μm. Also calculate cut off wavelength cl if core diameter is 1.1μm. 


  1. A proton (q=+5x10-19C) is injected from right to left into a field B of 0.5 T directed toward the upper side of a sheet of paper. If the velocity of the proton is of 4x106m/s, find the magnitude and direction of the magnetic force over the proton.
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