In a normal Zeeman Effect experiment, spectral splitting of the line at the wavelength 643.8 nm corresponding to the transition 5'D, → 5'P of cadmium atoms is to be observed. The spectrometer has a resolution of 0.01 nm. Minimum magnetic field needed to observe this is (m. = 9.1x10-3' kg,e=1.6x19 C,c = 3×10° m/s) (а) 0.267 (b) 0.527 (с) 2.6T (d) 5.27
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- In a Hall-effect experiment, a current of 3.0 A sent lengthwise through a conductor 0.83 cm wide, 3.0 cm long, and 9.3 μm thick produces a transverse (across the width) Hall potential difference of 9.7 μV when a magnetic field of 1.5 T is passed perpendicularly through the thickness of the conductor. From these data, find (a) the drift speed of the charge carriers and (b) the number density of charge carriers. (a) Number (b) Number i i ! ! Units Units m/s m^-3 or 1/m^3The average threshold of dark-adapted (scotopic) vision is 4.00 x 10-11 W/m? at a central wavelength of 500 nm. If light having this intensity and wavelength enters the eye and the pupil is open to its maximum diameter of 8.50 mm, how many photons per second enter the eye?A hydrogen isotope separator contains positively ionized hydrogen H', with isotope of hydrogen, Deuterium D, and other heavy particles, and the ions were released in a potential difference of 200 Volts. The strong magnetic field of 1.4x10 Tesla (out of the page), bends the ions and Deuterium is collected on separate ionic trap as shown in the figure. (Masses MH1=1.67x10-27 kg, MD2 = 2* MH1, Q(H1, D2) = 1.6x10-19 C. What is the potential energy of plates having the voltage difference of 200 Volts acting on Deuterium in unit of 10-17 Joules? Detector
- A laser beam of power 6.0 W and diameter of 2.0 mm is directed upward at a highly reflective oil droplet of density 0.85 g/cm^3. What maximum radius droplet can be levitated by the radiation pressure of the laser beam?In a Hall-effect experiment, a current of 2.3 A sent lengthwise through a conductor 1.2 cm wide, 3.9 cm long, and 10 μm thick produces a transverse (across the width) Hall potential difference of 8.4 µV when a magnetic field of 1.3 T is passed perpendicularly through the thickness of the conductor. From these data, find (a) the drift speed of the charge carriers and (b) the number density of charge carriers. (a) Number M. i (b) Number i Units UnitsFor Nickel the number density is 8×10 atoms / cm' and electronic configuration is 1s 2s 2p°3s²3p°3d* 4s² . The value of the saturation magnetization of Nickel in its 6 - ferromagnetic state is x10° A/ m. (Given the value of Bohr magneton µ, = 9.21x10" Am? )
- A helium-neon laser produces a beam of diameter 1.75 mm, delivering 3.15 x 1018 photons/s. Each photon has a wavelength of 633 nm. (a) Calculate the amplitude of the electric field inside the beam. kv/m (b) Calculate the amplitude of the magnetic field inside the beam. μT (c) If the beam shines perpendicularly onto a perfectly reflecting surface, what force does it exert on the surface? nN (d) If the beam is absorbed by a block of ice at 0°C for 2.10 h, what mass of ice is melted? gElectrons enter a magnetic field traveling at v, = vỹ. The constant, uniform magnetic field B = 0.75 2 T acts as a filter curving the electrons to a small gap that only allows specific electron energies. The source of electrons enters the filter as a beam that is 15 micrometers in diameter and have a range of energies from 5-25 meV. The filter redirects the beam, as pictured, to the right v = và but does not speed them up. If the filter is to further narrow the range of energies from 5-25 meV to 10-12 meV, find the dimensions of the gap. In the picture, calculate ymin and ymer, both of which can be assumed to be equal to the radius of the paths taken within the magnetic field. %3D The beam being focused to 15 um at the start can be assumed to be a point source and take circular paths within the magnetic field. Outgoing "Filtered" Electrons Blocked Electrons -不: Y Vma Incoming ElectronsCalculate the wavelength of a 3.32 eV photon in units of nm.