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Find the angle between normal to the planes (111) and (121) in a cubic unit cell. 


Define the following terms:

i. Basis

ii. Primitive cell

iii. Brillouin zone

iv. Unit cell

v. Reciprocal lattice


A tyre of mass 15kg is suspended on a rope of length 7.5m and a girl of mass 75kg sits in the tyre. If the girls speed at the lowest point as she swings is 5m/s and the rope extends by 20cm, find the radius of this rope(young modulus = 2.0 x 10^11 Pa)
A well lagged aluminium calorimeter of mass 80g contains 150g of water and 100g of ice at 0^oC. A heating coil rated 1.0kw is put in the calorimeter and the mixture is stirred until its temperature is 33^oC. Calculate how much ice is left after 1 minute. State any assumption you made.

What is entropy


In an engine cylinder a gas has a volumetric analysis of 13%CO2, 12.5%O2 and 74.5% N2. The temperature at the beginning of expansion is 9500C and gas mixture expands reversibly through a volume ratio of 8:1. According to the law pV1.2=constant. Find per kg of gas, the work done and the heat flow. Take Cp for CO2=1.235kJ/kg K and O2=1.088kJ/kg K and N2 is 1.172kJ/kg K.


Determine the force with which kerosene acts on a square plug with a cross-sectional area of ​​16 centimeters squared if the distance from the plug to the level of kerosene in the vessel is 400 millimeters


Show how the average energy in a Fermi gas can be expressed in terms of Ef0 


Explain rotational energy.


What is critical point.


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