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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.
Plot a graph between binding energy per nucleon as a function of mass number.
Write the main features of the curve.
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
A photon of energy 8ev is incident on a metal surface of threshold frequency 1.6/1000000000000000 Hz . The kinetic energy of the photoelectrons emitted is (in ev ) (1) 6. (2) 1.6 (3) 1.2. (4) 2
What is the stopping potential when the metal with work function 0.6ev is illuminated with the light of 2ev ? (1) 2.6ev. (2) 3.6 ev. (3) 0.8 ev (4) 1.4ev
A beam of white light incident normally on a plane surface absorbing 70% of the light and reflecting the rest . if the incident beam carries 10W of power , find the force exerted by it on the surface . (1) 4.3× 10-5 N. (2) 4.3 × 10-6N. (3) 4.3 × 10-7N. (4) 4.3×10-8N
A cylinder containing some gas A is fitted with an idealized piston. Gas A is at 1.2 atm, 10.0 L and at 432K. What external pressure is required to compress this gas irreversibly to a final volume of 3.20L?
0.12 atm
0.33 atm
0.45 atm
0.52 atm
Using the properties: Charge (Q), Lepton number (L), Baryon number (B) show
that whether the following processes are allowed or not?
i) 0 K + p → Ω + K + K
− − +
ii) π + p → p + p + n
Consider nuclei with small mass number A such that .
2
A
N = Z = Neglecting
pairing term (∈) show that semi-empirical formula is given by

4
/
3/2
3/1 A
BE A = α −βA − δ

Obtain the value of A and Z for which binding energy per nucleon (BE / A) is
maximum. Take β = 17 ,8. δ = 71.0 .