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The Hamiltanion due to interaction of particle of spin S with a magnetic field B is
given by H=-S.B . Where S is the spin.Calculate the commutator [S,H]?
Calculate the binding energy per nucleon for 14N, 232Th, 197Au, and 55Mn
1.For a body dropped from a height, h, the speed, V,with which it strikes the ground depends only on h and g and a dimensionless numerical factor. Obtain an expression connecting v, h and g.
By considering the principles that the distribution of current in a circuit is the result of charge conservation, and the distribution of potential differences in a circuit is the result of energy conservation, derive:
(a) the combined resistance of two resistors R1 and R2 connected in series (4 marks)
(b) the combined resistance of two resistors R1 and R2 connected in parallel.
The efficiency of a small electric motor is being investigated. It is set up to lift a mass while the current and potential difference are both monitored. The measurements are as follows:
Mass raised = 500 g Height raised = 1.2 m
Time taken = 12 s Potential difference = 3.2 V Current = 0.6 A.
(a) Calculate the work done on the mass
(b) Calculate the useful power output of the motor
(c) Calculate the electrical power supplied
(d) Calculate the efficiency of the motor
(e) What happened to the energy that was ‘lost’?
How much water (density = 1.00 X 103 kg/m3 ) must be displaced to float a cubic block of wood (density 655 kg/m3) that is 15.0 cm on a side?
Draw a ray diagram to show a wave bending towards the normal. Mark the angles of incident and refraction?
string of violin 36 cm long and mass of.2 gram at what tension it must be stretched to tune 100Hz
Two rockets A and B depart from earth at a steady speed of 0.6c in opposite directions, having synchronized clocks with each other and with earth at departure. After one year as measured in Earth’s frame, rocket B emits a light signal. At what time, in the frames of earth and rockets A and B, does rocket A receive the signal? Work out the problem in all three frames and verify the answers are same. Use unit of distance as light year and that of time as year.
a charge Q of mass M is placed at distance D from infinite length of wire of lemda charge density .then its slightly displaced from equilibrium . its motion will be SHM or NOT.
