
We would calculate the magnitude by applying pythagorean theorem:



The angle between two vectors is given by the formula:

In two dimensional, the x axis of vector form is:








Therefore, the magnitude of magnetic field at a distance 1.10cm from the origin is 27.3mT
<u>Explanation:</u>
Given;
Number of turns, N = 1000
Inner radius, r₁ = 1cm
Outer radius, r₂ = 2cm
Current, I = 1.5A
Magnetic field strength, B = ?
The magnetic field inside a tightly wound toroid is given by B = μ₀ NI / 2πr
where,
a < r < b and a and b are the inner and outer radii of the toroid.
The magnetic field of toroid is

Substituting the values in the formula:


Therefore, the magnitude of magnetic field at a distance 1.10cm from the origin is 27.3mT
Habitat fragmentation is a cost of urban development.
Option: A
Explanation:
Though from the view point or perspective of up gradation and development urban development is much needed but in cost of habitat fragmentation which feels very bitter. As habitat fragmentation leads to the loss of habitat, disruption of ecological cycle and environmental equilibrium.
Actually in the name of urban development we the human use our bread giver environment in a wrong way which causes natural disasters in long run. Animals become endangered , vulnerable and extinct with passage of time. Because they forced to enter into human settlements.
Answer:
The value is
Explanation:
Generally from the calorimetry principle we have that

So here heat gained water is mathematically represented as i.e

substituting 0.150 kg for
, 4200 J/kg.°C for
, 100°C for
and 75°C for T
We have


The Heat loss by the ice is mathematically represented as

Here
is the energy to move the ice to its melting point which is evaluated as

Here
is the mass of ice
is the specific heat of ice with value 
temperature of ice at melting point with value 0°C
is the temperature of ice with value -12°C
is the energy to move the ice from its its melting point to liquid which is evaluated as

Here L is the Latent heat of melting of ice with value 
is the energy to move the ice from liquid to the equilibrium temperature which is evaluated as

So
![Q_i = m_i [ c_i * ( T_o -T_i) + L + c_w * ( T -T_o) ]](https://tex.z-dn.net/?f=Q_i%20%20%3D%20m_i%20%5B%20c_i%20%2A%20%28%20T_o%20-T_i%29%20%2B%20L%20%20%2B%20c_w%20%2A%20%28%20T%20-T_o%29%20%5D%20)
=> ![Q_i = m_i [ 2.05 * 10^3 * ( 0 -(-12)) + 334 * 10^3 + 4200 * ( 75 - 0) ]](https://tex.z-dn.net/?f=Q_i%20%20%3D%20m_i%20%5B%202.05%20%2A%2010%5E3%20%2A%20%28%200%20-%28-12%29%29%20%2B%20334%20%2A%2010%5E3%20%20%2B%20%204200%20%2A%20%28%2075%20-%200%29%20%5D%20)
From

We have that
=>
=>