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

• In plants, water and minerals are transported from the roots to the leaves through the xylem.
• A type of vascular tissue.

Explanation

Papaya plants are mostly dioecious, meaning male and female flowers are on separate plants, requiring cross-pollination.

Wind and insects help transfer pollen from male to female flowers for fruit production.

Explanation

Meninges are the three protective membranes (dura mater, arachnoid mater, and pia mater) that surround the brain and spinal cord.

They help protect the central nervous system and contain cerebrospinal fluid (CSF).

Explanation

Cyclic ethers containing two ether groups are called crown ethers.

These compounds have a ring structure with multiple oxygen atoms, forming a "crown-like" shape that can bind to metal ions. 

Explanation

Meissner’s corpuscles are specialized mechanoreceptors that detect light touch and vibrations in the skin.

They are most abundant in fingertips, lips, and palms.

Explanation

Adipic acid has six carbon atoms with carboxylic acid groups at both ends — hence the name hexane-1,6-dioic acid.

It is a dicarboxylic acid.

It is widely used in the production of nylon.

Explanation

An ulcer is a gut disorder where the inner lining of the stomach or intestine becomes sore or eroded.

It often causes pain, bleeding, and discomfort, especially in the stomach or small intestine.