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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.

1) Explain the experiment which describe and prove the wave nature of electron? 2) 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. 3) Derive the energy and wave function of a particle present in the n th state bounded in a length of ‘L’ subjected to boundary conditions 0 < x < L ? 4) An electron is bound in one dimensional potential well of width 0.2 nm. Find the energy value in eV of the third excited state. 5) Why uncertainty principle is not applicable to human? Electrons moving with a velocity of 4.5 × 105 m/s if this velocity is measured with an inaccuracy of 0.5 % then estimate the uncertainty in the position of an electron? 


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.

What are the x and y components of the vector that must be added to the following three vectors, so that the sum of the four vectors is zero? Due east is the + x direction, and due north is the + y direction. [10]


𝐴⃗ = 113 𝑢𝑛𝑖𝑡𝑠, 60.0° 𝑠𝑜𝑢𝑡ℎ 𝑜𝑓 𝑤𝑒𝑠𝑡

𝐵⃗⃗ = 222 𝑢𝑛𝑖𝑡𝑠, 35.0° 𝑠𝑜𝑢𝑡ℎ 𝑜𝑓 𝑤𝑒𝑠𝑡

𝐵⃗⃗ = 177 𝑢𝑛𝑖𝑡𝑠, 23.0° 𝑛𝑜𝑟𝑡ℎ 𝑜𝑓 𝑒𝑎𝑠


You live in the building on the left in the drawing, and a friend lives in the other building. The two of you are having a discussion about the heights of the buildings, and your friend claims that his building is half again as tall as yours. To resolve the issue you climb to the roof of your building and estimate that your line of sight to the top edge of the other building makes an angle of 21° above the horizontal, while your line of sight to the base of the other building makes an angle of 52° below the horizontal. Determine the ratio of the height of the taller building to the height of the shorter building. State whether your friend is right or wrong.


The two hot-air balloons in the drawing are 48.2 and 61.0 m above the ground. A person in the left balloon observes that the right balloon is 13.3° above the horizontal. What is the horizontal distance x between the two balloons? 


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