Explanation

Let’s assume two cases:

• If $f = 3$ (monatomic gas), then:

  γ=3+2​/3=5/3​

• If $f = 5$ (diatomic gas), then:

  γ=5+2​/5=7/5​

Since the question asks for γ when degrees of freedom are 3 and 5, and γ = Cp/Cv, then:

• For f = 3 → γ = 5/3

Explanation

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

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

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 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

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

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

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

f = 1 / 5

= 0.2 m

=20 cm

Explanation

 T = 2π√(L/g)

= 2π√(1/9.8)

≈ 2.006 s

Explanation

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

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