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A linear combination of two wave functions for a system is also a valid wave function. Find the normalization constant for the combination ψ = B(sin nπx L + sin πx L ) of the wave functions for the n = 1 and n = 2 states of a particle in a box L wide


Relation between group velocity and phase velocity

A body of volume 36cc floats with ¾ of its volume submerged in water. The density of body is



a) 0.25 g/cc



b) 0.75 g/cc



c) 0.9 g/cc



d) 0.1 g/cc


Which one of the following is not a kinematic variable that appears in the equations of kinematics?


Consider an electron which has been  accelerated from rest through a potential difference of 500kV. Find a) Its kinetic energy, b.) its rest energy, c.) its total energy, d.) its mass and e.) its speed.


a force B is required to bring a box with a mass of 2.5 kg to the height of 3 m at an acceleration of 6. BY assuming it is smooth pulley system ,find the magnitude of force B 


Derive schrodinger wave equation in its time dependent form


(Q)Consider a one-dimensional box extends from x = x0 to x = x0 + L, where x0 6= 0.




Would the expression for the wave function of a particle in this box be any different




from those in the box that extends from x = 0 to x = L? Would the energy levels be




different?





Suppose the temperature of a COVID positive patient is recorded as Tbody = 40°C.



Determine the wavelength at which the radiation emitted from the body reaches its peak.

Metalic rod of 30cm of initial temperature of 42 degree celsius extended to 30.2Cm when subjected to 82 degree celsius calculate linear expansivity of the metalic material .If the material were to be used to construct an cuboid box. What is the cubic expansivity of the box.

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