Explanation

Focal length (in meters) = 1 / Power (in diopters)  

f = 1 / 5

= 0.2 m

=20 cm

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

 T = 2π√(L/g)

= 2π√(1/9.8)

≈ 2.006 s

Explanation

 The crystal structures with a coordination number of 12 are Face-Centered Cubic (FCC) and Hexagonal Close-Packed (HCP).

In these structures, each atom is surrounded by 12 other atoms. 

Explanation

To find the energy stored in a capacitor, we use the formula:

E=1/2​CV^2

Where:

• $\mathrm{<br>}$

• $V=100\text{V}$

Calculation:

$$E = frac{1}{2} times 4 times 10^{-6} times (100)^2$$E=1/2​×4×10^−6×10000
E=2×10^−6×10000

$$=0.02\text{J}$$

Explanation

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

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

The substance reduces to (1/16) = (1/2)^4 of its original mass.  

This means 4 half-lives = 40 days  

So, 1 half-life = 40 / 4 = 10 days  

Explanation

The Zeroth Law states that if two systems are each in thermal equilibrium with a third system

They are in thermal equilibrium with each other.

This defines the concept of temperature.

Explanation

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

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