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Show that the uncertainty in the measurement of a physical quantity "f" is equal to the following expression:

"\u0394f=\u221a(\u27e8f^2 \u27e9-\u27e8f\u27e9^2 )"


In early version of double slit experiment discussed,carnal and mlynek use helium atoms ( from reservoir maintained at 295k) that exit the nozzle after expansion with wavelength = 0.56 A (a) what is the speed of the helium atoms


The speed of a train is reduced uniformly from 15 m/s to 7 m/s while traveling a distance of 90 m. How much farther will the train travel before coming to rest, provided the acceleration remains constant? The acceleration is -9.81 m/s2


** Estimate the energy splitting between the lowest two levels for an electron in a three-dimensional cube-shaped potential box with the side length 10 nm.

1◦ 1 meV

2◦ 10 meV

3◦ 100 meV

4◦ 0.11 eV

5◦ 0.22 eV

6◦ 1.12 eV


Estimate the energy splitting between the lowest two levels for an electron in a three-dimensional

cube-shaped potential box with the side length 10 nm.


b) State de-Broglie hypothesis. Using de-Broglie hypothesis and one of the Bohr model postulate of the hydrogen atom, show that the wavelength associated with electron revolving around the nucleus is quantized.
.3 a) Can a particle exist in more than one state at a given time? Explain by giving examples.
b) How velocity of a particle can be defined in Quantum mechanics? Derive a relation for it. What information can be obtained from this velocity about momentum operator of the particle?

b) How velocity of a particle can be defined in Quantum mechanics? Derive a relation for it. What information can be obtained from this velocity about momentum operator of the particle?


. Calculate the power conversion efficiency and maximum power (Pmax ) drawn from

a Si solar cell illuminated by sun light of intensity 100 mW/cm2 when Voc=0.7 V, Isc=3.5 A and 

FF=0.7. What is the ideal value of Pmax for solar cell


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