Given:
distance from the projector lens to the image, di
projector lens focal length, f
distance from the transparency to the projector lens, do
thin lens equation: 1/f = 1/di + 1/do
do = 4 inches
di = 8 feet
convert feet to inches, for uniformity.
1 foot = 12 inches
8 feet * 12 inches/ft = 96 inches
1/f = 1/96 inches + 1/4 inches
Adding fractions, denominator must be the same.
1/f = (1/96 * 1/1) + (1/4 * 24/24)
1/f = 1/96 + 24/96
1/f = 25/96
to find the value of f, do cross multiplication
1*96 = f * 25
96 = 25f
96/25 = f
3.84 = f
The focal length of the project lens is 3.84 inches
Answer:

Explanation:
magnetic flux is the count of magnetic field lines passing through a given loop or area
As we know that magnetic flux is given by the formula

here we also know that magnetic field B and plane of the coil is perpendicular in initial position
So the area vector is always perpendicular to the plane of the coil
so the angle between magnetic field and area vector is parallel to each other and this angle would be zero
so magnetic flux of the coil initially we have

Answer: 2 cm
Explanation:
Given , for a converging lens
Focal length : 
Height of object : 
Object distabce from lens : 
Using lens formula:
, we get
, where v = image distance from the lens.
On solving aboive equation , we get

Formula of Magnification :
, where h' is the height of image.
Put value of u, v and h in it , we get

Hence, the height of the image is 2 cm.
I believe the answer is "When a neutral atom looses an electron to another neutral atom, two charged atoms are created."