Physics
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Envision a hypothetical scenario where a novel particle, rutron, moves to the right and its antiparticle (anti-rutron) moves to the left with the same speed. When these particles inevitably collide, they annihilate each other, producing two gamma-ray photons of wavelength 1.2 fm and a viton and anti-viton pair with a speed of 0.92c. Determine the initial speed of the rutron and anti-rutron, in terms of c, before the collision. Take the mass of the rutron to be 1.52 × 10 -27 kg and that of the viton to be 8.21 × 10 -31 kg.
If a hypothetical particle, tepton, has a total energy of 3.0 GeV, calculate the speed (v) of the tepton (m = 9.11 x 10-31 kg) in terms of the speed of light (c). Solve using the concepts of relativity.
Bob is located at a distance of x = 1242 m from the origin and when he observes light from two separate events. During Event "A", a flare gun fired at the origin (x = 0 m), and during Event "Q", another flare gun fired at x = 1850 m from the origin position. The light from both events reaches him simultaneously at 9.2 μs. Determine what the original time values are, considering when each of the flare guns were initially fired.
An aircraft flies 5900 km per day around Earth at 210 m/s. The aircraft returns to its starting point 4 days later at the same speed. How much has the pilot aged compared to their airbase colleagues? Hint: Use the binomial approximation.
For a positron (m = 9.109 × 10-31 kg), at what kinetic energy does the Lorentz factor (γ) equal 1.44 in relativistic calculations? Express your final answer using the most appropriate prefixes: mega (M), giga (G), or tera (T).
The mass-energy equivalence principle allows us to convert mass into energy. Consider the following fission reaction:
1n0 + 235U92 → 236U92 → 137Te52 + 97Zr40 + 2 1n0
If, in this reaction, 0.211 u of mass is converted to kinetic energy, determine the total kinetic energy released.
According to quantum mechanics, electrons can have different orbital angular momenta, even if they have the same energy (state). What is the orbital quantum number l an electron could have in any chosen axis if the angular momentum vector L of the electron and the chosen axis has an angle of 24.4°? Assume the electron to be of a hydrogen atom and the angle to be smallest for the particular value of l.
Consider a particle physics experiment, where an electron gun accelerates electrons through a 2250 V potential difference towards some aluminum foil that has a mass of 8.0 mg. The electron beam causes a temperature increase of 9.0°C in the foil over a period of 13 seconds. Assuming that there is no energy loss by any other means and considering that the specific heat of aluminum is 903 J/kg•K, determine what the current of the electron beam will be.
In a high-energy physics experiment, a neutron is propelled to reach a velocity that is 0.998 times the speed of light. By what factor does the neutron's relativistic momentum surpass its classical (Newtonian) momentum?
In a physics experiment, a particle that has a mass of 2.30 grams is accelerated to reach a velocity that is 70% of the speed of light (0.70c). Determine (i) the rest energy, (ii) the kinetic energy, and (iii) the total energy of this particular particle at this speed. Express your final answer using the most appropriate of the following prefixes: mega (M), giga (G), or tera (T).
Consider a gourmet pizza that weighs 300 g and contains 600 food calories, which is equivalent to approximately 2.50 MJ of energy. Determine what the factor value will need to be for which the energy equivalent will exceed the dietary food energy provided by the pizza itself, as per Einstein's mass-energy equivalence principle.
In order to coordinate clocks in a reference frame, a light beam is activated at the origin when t = 0 s. What initial time value should be assigned to the timepiece positioned at the spatial coordinates (x, y, z) = (0 m, 35 m, 15 m)?
An alpha particle is observed to move in a straight line with a constant velocity of 4.5 × 105 m/s when it passes through two parallel plates connected to a power supply, as shown below. Determine the magnitude and direction of the magnetic field localized within the region between the electrodes, enabling the charged particle to move without experiencing any deflection.