3) if you have a convex (converging) lens (f#12 cm) that produced an image with a magnification of -2.5, how far must the object be placed from the lens?
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b) Draw a ray-tracing diagram of this situation below (label all points in cm)

Explanation:

step 1. since the magnification is negative this means the object is real and is farther away from the lens than the focal point

step 2. 1/f = 1/o + 1/i where f is the focal length, o is the object distance from the lens and i is the image distance from the lens

step 3. 1/12 = 1/o + 1/i, -i/o = -2.5 (these are our 2 equations or system

step 4. 1/12 = 1/o + 1/2.5o

step 5. o = 12 + 12/2.5 = 16.8cm

step 6. i = 2.5o = 2 5(16) = 42cm

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:

multiple allele inheritance is traits controlled by more than 2 alleles (ex: pigeons having 3 alleles of one gene govern their feather color).