Explanation

 The equation used for evaluating time in quantum fields is the Schrodinger equation. 

Explanation

Maximum height is reached when vertical velocity becomes zero.  

Using the kinematic equation:  

v² = u² - 2gh, with final v = 0,  

h = (vi² * sin²θ) / 2g.

Explanation

In the conference for Educational Development in 1951, the main hurdle identified was lack of trained teachers

Explanation

The rank of a tensor is the number of indices; R(i,j,k) has three indices

The rank of the tensor is equal to the number of indices.

Therefore, the rank of R(i,j,k) is 3.

Explanation

Contingency planning in educational management involves preparing for potential future risks, emergencies, or changes to ensure that the school can continue to function effectively.

Explanation

Formula:

B=μ0​I/2πr​

Where:

• $mu_0 = 4pi times 10^{-7} , text{T·m/A}$ 

• $I = 5 , text{A}$ (current)

• $r = 2,text{cm} = 0.02,text{m}$

Substituting Values:

$$B = frac{4pi times 10^{-7} , text{T·m/A} times 5 , text{A}}{2 times 3.14 times 0.02, text{m}}$$2×3.14×0.02m​

Let’s calculate step by step:

Numerator:

$$4pi times 10^{-7} times 5 = 20pi times 10^{-7}$$

Denominator:

$$2 times 3.14 times 0.02 = 0.1256$$

Now,

$$B = frac{20pi times 10^{-7}}{0.1256}$$0.1256​

$$approx frac{62.8 times 10^{-7}}{0.1256} approx 5 times 10^{-5} , text{T}$$0.1256 ≈5×10^−5T

Explanation

1 electron has a charge of 1.6 × 10⁻¹⁹ C  

So, 1 C = 1 / (1.6 × 10⁻¹⁹) = 6.25 × 10¹⁸ electron

Explanation

 Magnetic force is a force that acts on moving charged particles, causing them to change their direction of motion, essentially deflecting them. 

Explanation

The command to obtain a numerical solution in Mathematica is NSolve. 

NSolve is specifically designed for finding numerical solutions to equations or systems of equations.

Explanation

An uncountable set (like real numbers) has more elements than can be listed.

The union of a countable and uncountable set is always uncountable

A ∪ B is uncountable