Quantum Mechanics Answers

a rock is thrown horizontally from the top of a cliff 88 m high, with a horizontal speed of 25 m/s. with what velocity does the rock hit?

Show that simple harmonic motion y(t) = C1 cos ωt + C2 sin ωt can be written as:

a. y(t) = A sin(ωt + ϕ0)

b. y(t) = A cos(ωt + ϕ1)

1.      The speed of the bullet (m = 50g) and the speed of an electron ( m = 9.1 * 10^-28g) are measured to be the same, namely 300 m/s, with an uncertainty of 0.01%. With what fundamental accuracy could we have located the position of each, if the position is measured simultaneously with the speed in the same expt.?

1.      A small object of mass 1 mg is confined to move between two rigid walls separated by 2 cm. (a) Calculate the minimum speed of the object. (b) If the speed of the object is 4 cm/s, find the corresponding value of ‘n’.

  Calculate the uncertainty in wavelength of a light emitted when an atom undergoes transition from an excited state that lasts for 10^-3 second.

When light from a red laser, with a wavelength of 632 nm, is incident on a certain double slit, a particular interference pattern is observed. The laser light is replaced by a beam of electrons, all with the same energy, and exactly the same interference pattern is observed. What is (a) the wavelength, (b) frequency, and (c) energy of the electrons?

Suppose we experiment with an Atwood machine consisting of two masses m and 2m connected by an inextensible nonslip string running over a pulley of radius a and mass 4m

A)Determine the total kinetic energy of the system. (6marks)

B)Find the gravitational potential energy of the system. (4)

C)briefly discuss why no work is done by the forces of constrait (5)

D)what is the total energy of the system (2)

E)Find the acceleration dv/dt of the blocks

for small uncertainty in the measurement of position of a particle, the wavelength of the incident light should be :

Small

Large

Average

Doesn't depend on wavelength

for small uncertainty in the measurement of position of a particle, the wavelength of the incident light should be :

Small

Large

Average

Doesn't depend on wavelength