State Moseley’s law. Using this law, obtain the frequency of an X-ray line when an L to K transition takes place in a silver atom. Take σ = 3.
Moseley's law is an empirical law concerning the characteristic x-rays that are emitted by atoms. The law was discovered and published by the English physicist Henry Moseley in 1913. It is historically important in quantitatively justifying the conception of the nuclear model of the atom, with all, or nearly all, positive charges of the atom located in the nucleus, and associated on an integer basis with atomic number. Until Moseley's work, "atomic number" was merely an element's place in the periodic table, and was not known
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Using the properties: Charge (Q), Lepton number (L), Baryon number (B) show that whether the following processes are allowed or not?
K − + p → Ω¯ + K + + K 0
π+ + p → p + p + ¯n
A spaceship is receding from the earth at a speed of 0.3c. A light on the spaceship emits light of wavelength λ = 4500 Å which appears blue to a passenger on the spaceship. What colour would the light appear to a person on earth?
In a region of space a particle of mass m has a wavefunction:
where a is a positive constant. Calculate:
i) the normalization constant N
ii) the potential energy of the particle if the total energy of the particle is zero.
In a circular accelerator a proton is accelerated to an energy of 1012 eV, as measured in the laboratory frame. If the rest energy of the proton is 109 eV, calculate
the speed of the proton as measured in the laboratory frame
ii) the force that must be applied by the magnets in the accelerator to keep the
protons moving at this speed in a circle of radius 1000 m.
If σ x, σ y and σz are three components of a Pauli spin matrix σ, then show tha
[σ x , σ y ] = 2i σ z ; [σ y , σ z ] = 2iσ x
Two events happen simultaneously in the frame S at a distance of 3.0 light years apart. In the frame S′, which is moving with a speed v relative to S, the distance between these events is 3.5 light years. Calculate (i) v and (ii) the time interval between these events in the frame S′
A radioactive substance of 1 g is reduced to 2.1 mg in 5 years by alpha decay. Calculate the half-life of the substance.