. The of the Hubble Space Telescope is better for shorter (bluer) wavelengths of light than for longer (redder) wavelengths of light. 2. The large research observatories on Mauna Kea use giant . 3. separate the various colors of light, allowing astronomers to determine stellar composition and many other stellar properties. 4. The twin 10-m Keck telescopes can work together to obtain better angular resolution through a technique known as . 5. The Chandra X-ray observatory focuses X rays with mirrors. 6. A 10-meter telescope has a larger than a 4-meter telescope. 7. Galileo's telescope designs using lenses were examples of .

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2

snell's law

refractve index = sin incidence / sin refraction