If the momentum of a particle is doubled, what happens to its de Broglie wavelength?

it decreases by a factor of 2^-1/2

it doubles

it halves

it becomes slightly less than half

it slightly more than doubles

A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed of 80.8 m/s at ground level. The engines then fire, and the rocket accelerates upward at 4.20 m/s² until it reaches an altitude of 990 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of −9.80 m/s². (You will need to consider the motion while the engine is operating and the free-fall motion separately.)

(a) For what time interval is the rocket in motion above the ground?

(b) What is its maximum altitude?

(c) What is its velocity just before it hits the ground?

A DC power line for a light-rail system carries 1000 A at an angle of 30.0o to the Earth’s 5.00×10−5 -T field.

What is the force on a 100-m section of this line? (b) Discuss practical concerns this presents, if any.

What is the maximum torque on a 150-turn square loop of wire 18.0 cm on a side that carries a 50.0-A current in a 1.60-T field? (b) What is the torque when θ is 10.9o?

The components of the electric field in an electromagnetic wave traveling in vacuum are described by
E_x = 0, E_y = 0, and
E_z = 2.84 sin(8.73x - ωt) V/m, where x is measured in meters and t in seconds. Calculate the frequency of the wave.

Calculate the wavelength of the wave.

Calculate the amplitude of the magnetic field of the wave.

Calculate the intensity of the wave.

The thermal conductivity of aluminium is kAl = 225W/(m·C), while that of iron is kFe = 75W/(m·C). Cubes of aluminium and iron are prepared with cross-sectional area A = 0.04m2 (i.e., 400 cm2) and thickness L = 0.2m.

(a) The aluminium cube is placed between a hot reservoir at TH = 80C and a cold reservoir at TC = 20C. Determine the rate at which heat flows through the aluminium cube.
(b) The iron cube is placed between a hot reservoir at TH = 80C and a cold reservoir at TC = 20C. Determine the rate at which heat flows through the iron cube.
(c) The two cubes are placed side-by-side (i.e., in parallel) between a hot reservoir at TH = 80C and a cold reservoir at TC = 20C. (i) Determine the effective thermal conductivity of this parallel arrangement of cubes. (ii) Determine the rate at which heat flows through the two cube in parallel.
(d) The two cubes are placed one-after-the-other (i.e., in series) between a hot reservoir at TH = 80C and a cold reservoir at TC = 20C. (i) Determine the effective thermal conductivity of this series arrangement of cubes. (ii) Determine the rate at which heat flows through the two cubes in series.

On August 25, 1894, Chicago catcher William Schriver caught a baseball thrown from the top of the Washington Monument (555 ft, 898 steps).

Part A.) If the ball was thrown horizontally with a speed of 7.50 m/s , where did it land?

Part B.) What was the ball's speed of motion when caught?

Part C.) What was the ball's direction of motion when caught?

On August 10, 1972, a large meteorite skipped across the atmosphere above the western United States and western Canada, much like a stone skipped across water. The accompanying fireball was so bright that it could be seen in the daytime sky and was brighter than the usual meteorite trail. The meteorite's mass was about 4.2 × 10⁶ kg; it's speed was about 16 km/s. Had it entered the atmosphere vertically, it would have hit Earth's surface with about the same speed. (a) Calculate the meteorite's loss of energy (as a positive number, in joules) that would have been associated with the vertical impact. (b) Express the energy as a multiple of the explosive energy of 1 megaton of TNT, which is 4.2 × 10¹⁵ J. (c) The energy associated with the atomic bomb explosion over Hiroshima was equivalent to 13 kilotons of TNT. To how many Hiroshima bombs would the meteorite impact have been equivalent?

Two long parallel wires carry currents of 2.0 A and 3.0 A in the same directions.
The wires are separated by 50 cm. At what point between the two wires the total
magnetic field is zero? Please backup your solution with a picture!

Determine the intensity of a 120-dB sound. The intensity of the reference level required to determine the sound level is 1.0

Explain how you can reproduce an isothermal process in a laboratory. Also discuss an experiment to produce isobaric process. Which of the above two experiments is easier to reproduce?

A object of height 3.3 cm is placed 36.1 cm in front of a spherical mirror. Suppose it is desirable to produce a virtual image that is upright and 1.4 cm tall.

(a) Should a concave or convex mirror be used?

b) Where is the image located?

c) What is the focal length of the mirror?

d) What is the radius of curvature of the spherical mirror?

An old-fashioned (vinyl) record rotates at a constant rate of 33 rpm.

(a) What is its angular speed in rad/s?
rad/s

(b) If the record has a radius of 9 cm, what is the linear speed of a point on its edge?
m/s

Why are intermediate mass black holes so uncommon compared to stellar mass and supermassive black holes? What techniques can astronomers use to find them?