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show that linear combination of eikx and e-ikx is a eigen function of d2/dx2

. Estimate the velocity of neutrons needed for the study of neutron diffraction of crystal
structures if the interatomic spacing in the crystal is of the order of 2 Å. Also estimate the
kinetic energy of the neutrons corresponding to this velocity. Mass of neutron = 1.6749 x 10-
27 kg.

if known psi(x)=(2-i)e3ix determine |psi(x)|2


Ground state energy of a particle in a one dimensional infinite potential box is 2 ev then energy of first excited state is how much
  1. The force required to draw back the string of an archers bow by a distance 'x' from it equilibrium position is given by f=kx2 if all the energy stored in the bow is communicated to the arrow, show that the maximum range of the arrow is given by R=2kx2/3mg
Suppose that the car is stopped from 27m/s within right after the collision and the driver 75kg didn’t push the brake.Seatbelt is non-stretchable and produces a constant force to stop the driver in 10 cm . Calculate the acceleration of the driver and the force that the seatbelt acts on the driver for above two conditions.
. A typical nucleus is about 5 x 10- 15
m in radius. Use the uncertainty principle to place a lower limit on
the energy an electron must have if it is be part of a nucleus

A rocket fires two engines simultaneously. One produces a thrust

of 725 N directly forward while the other gives a 513 N thrust at

32.4 o above the forward direction. Find the magnitude and direction (

relative to the forward direction) of the resultant force which these

engines exert on the rocket.


What is the centripetal acceleration of a point on the trim of flywheel 1.20 m in diameter, turning at a rate of 1,200 r/min?


. Consider the Schrödinger equation for a particle in the presence of the potential of the form 𝑉(𝑥) = 𝑈(𝑥) + 𝑖𝑊(𝑥) where 𝑈 and 𝑊 are real functions of 𝑥. What form does the conservation equation take?


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