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An excited state in an atom has a life time of 3.0×10⁻⁷ s. Calculate the line width of the emitted photon, when the atom decays spontaneously to its ground state.
Calculate the de Broglie wavelength of a non-relativistic proton with a kinetic energy of 10 eV.
Calculate the cut-off wavelength for aluminium, which has a work function of 4.08 eV. Will photoelectrons be emitted when radiation of wavelength 400 nm is incident on an aluminium surface?
Calculate the linear momentum, kinetic energy and total energy (in J and MeV) of a particle travelling with speed 0.90c given that its rest mass 1.68×10⁻²⁷ kg and 1MeV = 1.6×10⁻¹³ J
A particle of rest mass 1.0 kg has an initial speed of 1.0×10⁸m/s. A constant relativistic force of magnitude 5.0×10⁵ N is exerted on the particle in the same direction as the initial relativistic momentum for 100 s. Calculate the magnitudes of the initial and final relativistic linear momenta of the particle
The speed of a particle relative to an observer on the Earth is 0.80c, and the speed of another particle relative to her is -0.90c. What is the speed of the particles with respect to each other?
The mean lifetime of a particle is 2.5 μs when it is produced in the top layers of the Earth’s atmosphere. If it travels at the speed of 0.9999c, what is its life time as measured by an observer on the Earth? Calculate the distances travelled by the particle in its own frame of reference and the Earth’s frame of reference.
Please do this question for me please please please Two observers observe two events from different inertial frames of reference in uniform relative motion at a speed of 0.90c. Under what condition would the observers observe these events to be simultaneous? Write down all possible conditions under which the events would not be simultaneous for the two observers.

car a has a headstart of 740 m ahead of car b car a is travelling at a constant 50km/h while car b starts from rest and accelerates at a constant 1.22m/s how long will it take car b to catch car a and how far will car b have traveled


A roll of toilet paper is held by the first piece and allowed to unfurl as shown in the diagram to the right. The roll has an outer radius R = 6.0 cm, an inner radius r = 1.8 cm, a mass m = 200 g, and falls a distance s = 3.0 m. Assuming the outer diameter of the roll does not change significantly during the fall, determine…

  1. the tension in the sheets
  2. the translational acceleration of the roll
  3. the angular acceleration of the roll
  4. the final translational speed of roll
  5. the final angular speed of the roll


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