A100-turn coil with an average radius of 0.04 m is placed in a uniform magnetic field so that ϕ = 60°. the strength of the field increases at a rate of 0.250 t/s. what is the magnitude of the resulting emf?

Five

This is exactly like your question 2. You need only substitute the given numbers here.

Givens

Formula

e = N * delta B  * Area * cos phi

Solution

e = - 100 * 0.25 *  5.02 * 10^-3 * 0.5

e = 0.0628 = 0.063

Answer

A

Six

This is a notes question. The result is a sine curve. I don't know how they are counting the change in direction. Is a rising curve different from a falling curve? For sure going from plus to minus is a change in direction, but I still don't know how to count it. It will depend on what you  have been told.

I would answer 4 but this is by no means certain. The only other possible answer is 2

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .

54 degrees incident angle = reflected angle

angle is from normal turned to line of ray