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What is the frequency of the emitted photon when an electron in a hydrogen atom returns to the ground state from the second excited state?
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- A photon has an energy of 1.9 meV (milli electron Volt). What is the wavelength of this photon, expressed in micrometers? Keep four significant digits. And the answer is NOT 6.543Answers must be expressed in engineering notation (when the exponent of the base ten multiplier is not a multiple of 3, press ENG or SHIFT+ENG, whichever the case.) Example: 0.06N or 6.0x10² N must be expressed to 60x10-³N or 60mN 1. Consider a beam of electrons that moves from the electron gun towards the screen of a cathode ray tube due to the potential difference of 15kV. A pair of coils are placed outside a cathode ray tube and produce a uniform magnetic field of 250 μT across the tube. Calculate the force experienced by the electrons if the magnetic field is in place: a. parallel with the direction of the beam. b. Perpendicular with the direction of the beam. c. 50 degrees with the direction of the beam.In an electron microscope, electrons are used in place of light waves to create images of extremely tiny structures. The electrons are much easier to deal with than the light waves that have similar wavelengths (gamma rays). When the electrons are given the required kinetic energy, their wavelengths will be roughly 0.0037 nm. 24.96.91.88 Use the deBroglie equation to estimate the speed of these electrons. Enter your numerical result below as a multiple of 106 m/s. For example, if you wanted to enter the speed of light you would put the number 300 in the box, because C 3.00 X 108 m/s 300 × 106 m/s. MALUATION
- 1.11 Calculate the Doppler width of a spectrum line from a neon discharge tube operating at a temperature of 100°C. The value of the Boltzmann constant k is 1.38 x 10-23 joules per degree Kelvin (J/K) and the mass of the neon atom is 3.34 x 10-26 kg. Take A = 600 nm and find the line width in both frequency and wavelength.b) Explain what the value of the product moment correlation tells you about the relationship between the daily temperature and the household energy consumption. 4.2. Calculate the results of combining errors when substituting values in formulae. 1. The length (x) of a rod is measured with with a ruler with an uncertainty of 0.1. Complete the table for the length of the rod being tripled. Value Uncertainty x/cm 35 0.1 3x/cm 2. The time period of a pendulum is measured by first timing 30 swing. Complete the table to give the time period and its uncertainty. Value Uncertainty 30T/s 75 0.6 T/s 3. You need to find the density of a glass marble. The mass of the marble in grams and the radius in cm are given in the table below, along with the uncertainty in each measurement. mass (m) Using the formula: Density (p). complete the following table: %3D volume (V) Value Uncertainty % uncertainty Mass (m)/g 4.7 0.2 Radius (r)/cm 0.45 0.01 Volume (V)/cm3 4 (use V =ar³) 3 Density (p)/gcm-1An atom of iron has a radius of 156. pm and the average orbital speed of the electrons in it is about ×5.7*10^7 m/s. Calculate the least possible uncertainty in a measurement of the speed of an electron in an atom of iron. Write your answer as a percentage of the average speed, and round it to 2 significant digits.
- The electron in a hydrogen atom is typically found at a distance of about 5.3 × 10-11 m from the nucleus, which has a diameter of about 1.0 × 10-15 m. Suppose the nucleus of the hydrogen atom were enlarged to the size of a baseball (diameter = 7.3 cm). Part A At what typical distance from the center of the baseball would you expect to find the electron? Express your answer using two significant figures. r = ΠΑΠ ΑΣΦ 110 Submit Provide Feedback Request Answer ? km Next >For vibrational states, the Boltzmann equation can be written as = exp(-AE/kT) where N, and N, are the populations of the lower and higher energy states, respectively, AE is the energy difference between the states, k is Boltzmann's constant, and Tis the temperature in kelvins. For temperatures of 20°C and 40°C, cakulate the ratios of the intensities of the anti-Stokes and Stokes lines for CCI, at (a) 218 cm-, (b) 459 cm", (c) 790 cm-!. For each temperature and Raman shift, calculate how much more intense the Stokes line is compared to the anti-Stokes line.Determine how many electrons are present in an object of charge Q = (9.3x10^-9) C. Remember that charge is quantized and the elementary charge is e = 1.602 x 10-19 C. Round your answer to 2 sig figs. Note: Your answer is assumed to be reduced to the highest power possible.
- Answer the following A. A comet has just passed the Earth and its peak emission is observed at 15000 nm. Determine in which region of the electromagnetic spectrum (e.g. X-ray, infrared, visible, ultraviolet, ...) the peak emission wavelength resides. What is the temperature of the comet? B. Within the Solar System, a convenient unit of measurement is the Earth-Sun distance, called an astronomical unit (AU). For bigger distances, we use the light year (LY), the distance that light travels in one year. We can expand our lingo to include other measures of distance, for example, light days, light minutes, and light hours. Starting with the values you can look up in the Appendices for the speed of light and the astronomical unit, calculate how many “light minutes” there are in 1 AU. C. What is the observable universe? How big is it?The velocity of an electron is measured to a precision of 62 × 10-³ m/s. What is the minimal uncertainty to which its position can be measured? Please give your answer in units of mm, accurate to one decimal place. I.e, the answer you should enter should have the form: XX.X mm. Answer:Determine the value/s of x using complex number conversions and operations. Express answers in indicated form (i.e. if the given complex number is in rectangular form, the answer should be in rectangular form). x = (e^(-3+j4)) – (e^(1+j2)) Answer should be in exponential form
