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4. A boy stands at the centre of a turn table with his two arms stretched. The turn table is set rotating with an angular with an angular speed of 40 r.p.m. How much is the angular speed of the boy if he folds his hands back and thereby reduces his moment of inertia to 2/5times the initial? Assume the turn table to rotate without friction.
What is meant by a well-behaved function ? Illustrate with the help of a suitable diagram.
Consider the potential V(x) = V0. Write down the solutions to the 1D, time-
independent-independent Schrödinger equation when E > V0 and when E < V0.
A particle has the wave function ψ(r) = Ne −ar.where N is a normalization factor and" a " is a known real parameter
Question _calculate the probability of finding the particles in the region of r>Δr
How can we calculate the value of normalisation constant when the electron wave function is given with the range
In an ideal 3:17 step-up transformer, the primary power is 34 kW and the secondary current is 30 A. The primary voltage is:

A. 6.25 V

B. 200 V

C. 1133.3 V

D. 6422.2 V

E. 51 V
In a region of space a particle of mass m has a wavefunction:

Omega(x)= Nxe (to the power -alpha x)

for x>0 and x<0

where α 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
Calculate x and x
p for the ground state harmonic oscillator eigenfunction.
Consider nuclei with small mass number A such that .

N = Z =A/2. Neglecting
pairing term (∈) show that semi-empirical formula is given by

BE/A = α −βA(to the power -1/3)− δA(to the power 2/3) / 4.
Obtain the value of A and Z for which binding energy per nucleon (BE / A) is
maximum. Take β = 17 ,8. δ = 71.0 .
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.
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