Explanation

Explanation

The total time of flight (T) for a projectile is given by:

T = 2v₀sin(θ) / g

The maximum height (H) is:

H = (v₀sin(θ))² / (2g)

Using T = 2v₀sin(θ) / g, we can express v₀sin(θ) = gT/2. Substituting this into the height equation gives:

H = (gT/2)² / (2g) = g²T² / 8g = gT² / 8

Explanation

Pair production occurs when a high-energy γ-ray photon is converted into an electron and a positron near a nucleus.

It is a quantum phenomenon that requires photon energy greater than 1.022 MeV.

Explanation

Force is defined as the rate of change of linear momentum with respect to time.

According to Newton’s second law, force causes a change in an object’s momentum.

Explanation

Commutative property means the order doesn’t matter: 𝐴 ∗ 𝐵 = 𝐵 ∗ 𝐴.

Union ∪ is commutative, so 𝐴 ∪ 𝐵 = 𝐵 ∪ 𝐴.

Explanation

Gamma rays consist of radiations similar to x-rays.

They are high-energy electromagnetic waves with no mass or charge.

Explanation

The kinetic energy (KE) of an electron in the nth orbit is given by:

KE = 1/2mv²n

Where m is the mass of the electron and vn is its velocity in the nth orbit.

Explanation

Spring potential energy is given by U = 1/2kx².

If stretching to distance S gives 10 J, then to stretch to 2S, the energy becomes 1/2k(2S)² = 4×10 = 40 J.

So, additional work =  40−10 = 30 J.

Explanation

"People" is plural, so the verb must be plural too.

"Were" is the past tense plural form of "to be," matching the sentence context.

Explanation