Exam 21: Electromagnetic Induction and Faradays Law

A certain part of the electromagnetic spectrum ranges from $200 \mathrm {~nm}$ to $400 \mathrm {~nm}$ . What is the highest frequency associated with this portion of the spectrum? $\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

An FM radio station broadcasts at $96.7 \mathrm { MHz }$ . What is the wavelength of the radio wave used for this broadcast? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A radio transmitter is operating at an average power of $4.00 \mathrm {~kW}$ and is radiating uniformly in all directions. What is the average intensity of the signal $8.00 \mathrm {~km}$ from the transmitter?

What is the wavelength used by a radio station that broadcasts at a frequency of $920 \mathrm { kH }$ ? $( c = 3.00$ $\times 10 ^ { 8 } \mathrm {~m} / \mathrm { s }$ )

In an electromagnetic wave in free space, the electric and magnetic fields are

If the average intensity of the sunlight in Miami, Florida, is $1040 \mathrm {~W} / \mathrm { m } ^ { 2 }$ , what is the average value of the radiation pressure due to this sunlight on a black totally absorbing asphalt surface in Miami? $\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

The distance between two asteroids is $1600 \mathrm {~km}$ . How much time does it take for a light signal to go from one asteroid to the other? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

What is the frequency of $20 - \mathrm { mm }$ microwaves? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A radiometer has two square vanes $( 1.0 \mathrm {~cm}$ by $1.0 \mathrm {~cm} )$ , attached to a light horizontal cross arm, and pivoted about a vertical axis through the center, as shown in the figure. The center of each vane is $6.0 \mathrm {~cm}$ from the axis. One vane is silvered and it reflects all radiant energy incident upon it. The other vane is blackened and it absorbs all incident radiant energy. Radiant energy, having an intensity of $300 \mathrm {~W} / \mathrm { m } ^ { 2 }$ , is incident normally upon the front of both vanes. What is the net torque on the vane assembly, about the vertical axis? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } , \mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , \varepsilon _ { 0 } = 8.85 \times \right.$ $10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 }$ )

The frequency of a microwave signal is $9.76 \mathrm { GHz }$ . What is its wavelength? $\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

The rate of energy flow per unit area of an electromagnetic wave has an average value of $0.695$ $\mathrm { W } / \mathrm { m } ^ { 2 }$ . The wave is incident at right angles upon a rectangular area measuring $1.5 \mathrm {~m}$ by $2.0 \mathrm {~m}$ . How much total energy falls upon this rectangle each minute? $\left( \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } 2 / \mathrm { N } \cdot \mathrm { m } ^ { 2 } , \mu _ { 0 } = 4 \right.$ $\pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s }$ )

Which one of the following types of electromagnetic wave travels through space the fastest?

The total electromagnetic power emitted by the sun is $3.8 \times 10 ^ { 26 } \mathrm {~W}$ . What is the radiation pressure it exerts on the perfectly absorbing surface of a satellite near the orbit of Mercury, which is $5.8 \times 10 ^ { 10 } \mathrm {~m}$ from the sun? The radiation strikes the surface of the satellite perpendicular to the surface. $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

The rate of energy flow per unit area of a sinusoidal electromagnetic wave has an average value of $0.601 \mathrm {~W} / \mathrm { m } ^ { 2 }$ . What is the maximum value of the magnetic field in the wave? $\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } , \mu _ { 0 } \right.$ $= 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 }$ )

Which one of the following lists gives the correct order of the electromagnetic waves from longer wavelength to shorter wavelength?

How long does it take light to travel $1.0 \mathrm {~m}$ ? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

Except for their color, a perfectly black (absorbing) object is identical to a perfectly white (reflecting) object. If identical light falls on both of these objects, what is true about the momentum They will receive from this light?

A $2.4 \times 10 ^ { 14 } \mathrm {~Hz}$ laser emits a $3.5 - \mu$ s pulse that is $5.0 \mathrm {~mm}$ in diameter. The average energy density in the beam is $0.65 \mathrm {~J} / \mathrm { m } ^ { 3 }$ . What average power is emitted by this laser? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } , \mu _ { 0 } = 4 \pi \times \right.$ $10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 }$ )

A certain part of the electromagnetic spectrum ranges from $200 \mathrm {~nm}$ to $400 \mathrm {~nm}$ . What is the lowest frequency associated with this portion of the spectrum? $\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

If the average intensity of the sunlight in Miami, Florida, is $1060 \mathrm {~W} / \mathrm { m } ^ { 2 }$ , what is the average magnitude of the force this light exerts on a $16 - m ^ { 2 }$ surface of black asphalt that totally absorbs the light? $\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$