I had to look for the options and here is my answer:
Based on the actual options attached to this question, the statements that are considered true about electromagnetic induction are the following:
-It is possible to induce a current in a closed loop of wire without the aid of a power supply or battery.
-It is possible to induce a current in a closed loop of wire by changing the strength of a magnetic field enclosed by the wire.
-It is possible to induce a current in a closed loop of wire by change the orientation of a magnetic field enclosed by the wire.
-It is possible to induce a current in a closed loop of wire located in a uniform magnetic field by either increasing or decreasing the <span>area enclosed by the loop.</span>
Answer:

Explanation:
From the question we are told that
The number of turns is 
The radius is 
The position from the center consider is x = 3.45 cm = 0.0345 m
The induced emf is 
Generally according to Gauss law

=> 
Where A is the cross-sectional area of the solenoid which is mathematically represented as

=> 
=>
ggl;
Here
is the permeability of free space with value

=> 
=> 
Answer:
a.) magnitude __49.7__ unit(s)
b.) direction __123.6°_ counterclockwise from the +x axis
Explanation:
Let Vector is v
x-component of Vector v = x = -27.5 units (minus sign indicate that x-component is along the minus x-axis )
y-component of Vector v = y = 41.4 units
Magnitude of v = ?
Direction of v = ?
To find the magnitude of the vector
v =
v = 
v = 49.7 units
To find direction
θ = tan⁻¹(y/x)
θ = tan⁻¹(41.4/-27.5)
θ = -56.4°
This Angle is in the clockwise direction with respect to -x axis.
We need to find Angle counterclockwise from the +x axis.
So,
θ = 180° - 56.4°
θ = 123.6°
The given vector is in 2nd quadrant
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