Explanation

Limiting frictional force (also known as static friction) is greater than:

• Rolling friction (because rolling friction is much smaller, as it only opposes the motion of an object that is already rolling)
• Sliding friction (which is another term for kinetic friction)
• Kinetic friction (which is the frictional force that acts when an object is already moving)

Explanation

Significant figures (also known as significant digits) are the number of digits in a measurement or calculation that are known to be reliable and accurate, including the first doubtful digit.

For example, the measurement "23.4 cm" has four significant figures, while "23.40 cm" has five significant figures.

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

The magnitude of i · (j × k) is:

This is a scalar triple product, and for standard unit vectors:

i · (j × k) = 1

Explanation

• The speed of sound is maximum in solids.
• Because the particles are closely packed, allowing for efficient transmission of vibrations.

Explanation

Orbital velocity is 1/√2 times escape velocity, derived from gravitational motion equations.

Explanation

For a point source in 3D, amplitude is inversely proportional to the distance from the source:  

A ∝ 1/r  

So, if distance doubles (2r), amplitude becomes A/2.

Explanation

A crystal can only have one center of symmetry. 

A center of symmetry is a point within a crystal where, if a line is drawn through that point and extended an equal distance on the other side, it intersects an identical point on the crystal.

Since this is a single, specific point within the crystal, there can only be one center of symmetry per crystal. 

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