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1. Wavelength of particles
a. Consider a dust particle of diameter d =1 μ, mass m≈10^-15 kg, and speed ν= 1 mm/s. Calculate the de Broglie wavelength of the particle and compare with the particle's size.
b. Now consider a thermal neutron, i.e, a neutron (m=1.67 x 10^-27 kg) with a speed ν corresponding to the average thermal energy at (absolute) temperature T, give by:
1/2 mν2 = p2 / 2m = 3/2 kBT,
where kB= 1.38 x 10^-23 J/K (joule/degree) is Boltzmann's constant. Find the wavelength of such a neutron at room temperature (T=300 K).
2. Wavelength and Resolution:The smallest separation resolvable by a microscope is of the order of the wavelength used. In an electron microscope, what energy of electrons would be needed to resolve separations of:
a. 100 Ampsb. 5 Amps
If the particle is released from rest at the midpoint C, s=100mm, and the acceleration is measured as a= (4s) m/s2 , where s is in meters, evaluate the velocity of the particle when it reaches plate B, s=200mm, and the time it needs to travel C to ..
pat builds a track for his model car out of wood. the track is 19.00 cm wide 5.00 m long and 2.78 m high and is solid.
It continues to fly along the same horizontal arc, but increases its speed at the rate of 1.45 m/s2. Find out the acceleration in this situation at the moment the hawk's speed is 4.60 m/s.
An object of size 3cm is placed 14cm in front of a concave lens of focal length 21 cm. decsribe the image formed by the lens. What happens , if the object is moved further away from the lens
The team monitoring a space probe exploring the outer solar system finds that radio trasmissions from the probe take 1.71 hours toreach earth. How distant (in meters) is the probe?
A railroad car of mass 2.6 104 kg moving at 5.00 m/s collides and couples with two coupled railroad cars, How much kinetic energy is lost in the collision
A layer of liquid B floats on liquid A. A ray of light begins in liquid A and undergoes total internal reflection at the interface between the liquids when the angle of incidence exceeds 39.0°.
An ideal transformer has 50 turns in its primary and 400 turns in its secondary. 8.0- ac is connected to the primary. What is the power supplied to the primary
Using the Bohr model what is the radius of the electron orbit in the Hydrogen atom when the electron is in the n = 6 state? What is the energy of the Hydrogen atom when the electron is in the n = 14 state
A double convex thin glass lens has equal radii of curvature. Find the radius of curvature of each convex surface
A projectile is launched vertically from the surface of the earth with an initial speed v0 = 6.43 km/s. What is the magnitude of its acceleration (m/s2 ) 1620 km above the surface of the earth
A 0.19-kg stone is held 1.4 m above the top edge of a water well and then dropped into it, What is the change in gravitational potential energy of the system from release to reaching the bottom of the well
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