Problems II
- A wave travelling in free space undergoes refraction after entering a denser medium, such that the original 30o angle of incidence at the boundary between the two media is changed to 20o. What is the velocity of electromagnetic waves in the second medium?
- A marine radar operates at a wavelength of 3.2 cm. What is the frequency of the radar waves?
- A 100-turn flat circular coil has a radius of 5 cm. Find the magnetic field at the center of the coil when the current is 4A.
- The wires that supply current to a 120-V,
2 KW electric heater, are 2 mm apart. What is the force per meter between
the wires?
- Two parallel wires 10 cm apart, carry currents
in the same direction of 8A. What is the magnetic field half-way between
them?
- A projectile is fired from top of a cliff
92 meter high, with a velocity of 430 m/sec directed at 45o with
the horizontal. Find the range on a horizontal plane through the base of
the cliff.
- Find the tension at the support which are
at the same level of an ACSR cable weighing 0.5 kg per meter if the span
is 100 meters and the sag is 1.25 m.
- A candle 5 inches high is placed 20 inches
in front of a concave mirror whose focal length is 15 inches. Find the location
of the image.
- A meniscus lens has one concave and one convex
surface. The concave surface of a particular meniscus lens has a radius
of curvature of 30 cm, and its convex surface has a radius of curvature
of 50 cm. The index of refraction of the glass used is 1.50. Find the focal
length of the lens.
- The focal length of a combination of two thin
lenses in contact whose individual lengths are f1 & f2 is given by: 1/f
= 1/f1 + 1/f2. Use this formula to find
the focal length of a combination of a converging lens of f = +10 cm and
a diverging lens of f = -20 cm that are in contact.
- Protons are accelerated from rest to a speed
of 0.993 C in a "small" 150-m diameter booster accelerator that
is part if the Fermi National Accelerator Laboratory in Bastavia, Illinois.
Calculate the proton's final energy E as it leaves the booster accelerator.
Rest mass or proton is 1.67 x 10-27 kg.
- An electron is accelerated from rest across
the (2.5 x 104) -V potential difference from the cathode to the screen
of a television set. Calculate the percent increase in the electron mass.
An electrons rest mass is m0 = 9.1 x 10-31 kg
- A theory used to determine the energy, distribution
in space, and other properties of particles such as electrons when in different
environments
- A cast iron column supports an axial compressive
load of 250 KN. Determine the inside diameter of the column if its outside
diameter is 200 mm and the limiting compressive stress is 50 M Pa
- When the factors of a product are equal, the
product is called a _____ of the repeated factor.
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