Explanation

The orbital speed (v) of a satellite is given by:

v = √(GM / (R + h))

If the orbital radius (R + h) is halved:

v' = √(GM / ((R + h) / 2))

= √(2GM / (R + h))

= √2 * √(GM / (R + h))

= √2 * v

So, the orbital speed will increase √2 times.

Explanation

Given:

Magnification M = 5

Distance between lenses L = f₀ + fₑ = 24 cm

Magnification formula M = f₀ / fₑ

Let's solve for f₀ and fₑ:

1. f₀ / fₑ = 5 => f₀ = 5fₑ

2. f₀ + fₑ = 24

Substituting f₀ = 5fₑ into the second equation:

5fₑ + fₑ = 24

6fₑ = 24

fₑ = 4 cm

Now, f₀ = 5fₑ = 5 × 4 = 20 cm

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

Surprised and Astonished are synonyms — both mean being amazed.

Likewise, Generosity and Magnanimity are synonyms — both mean kindness and nobility of spirit.

Explanation

The sentence is in the past tense, so the correct verb form is "spoke".

"Spoke" is the simple past tense of "speak," matching the context.

Explanation

True or False is a selection-type question where students choose between given options.

It does not require constructing an answer, just selecting the correct one.

Explanation

حروفِ عطف وہ الفاظ ہوتے ہیں جو جملوں یا الفاظ کو آپس میں جوڑتے ہیں، جیسے "اور"، "یا"، "لیکن"۔

جملے میں "اور" دو صفات یعنی "صبر" اور "شکر کرنے والا" کو جوڑ رہا ہے۔

Explanation

A Karnaugh map (K-map) is a visual method for simplifying Boolean expressions.

It consists of square boxes called cells, each representing a minterm (combination of variable values).

Explanation

A Realtime operating system (RTOS) is designed to respond immediately to external events.

It is used in systems like aircraft controls, medical devices, and industrial machines, where delays can be critical.

Explanation

A logic gate is a basic building block of a digital circuit that performs logical operations (AND, OR, NOT).

It processes binary inputs (0s and 1s) to produce a single binary output.