Explanation

Tenuous means نازک

Delicate means نازک

Explanation

Gardner, a psychologist and professor at Harvard University.

He developed Theory of Multiple Intelligences which suggests that individuals possess various types of intelligence, not just one singular intelligence. 

Explanation

To simplify the expression:

2√3 + 4√12

First, simplify √12:

√12 = √(4 × 3) = √4 × √3 = 2√3

Now, substitute:

2√3 + 4(2√3) = 2√3 + 8√3 = 10√3

Explanation

Discrepancy means تضاد

Harmony means ہم آہنگی

Explanation

1/f = 1/v - 1/u

2.5 = 1/0.75 - 1/u

u = -0.26 m

So, the new near point is indeed:

0.26 m

Explanation

Explanation

Explanation

Escape velocity (vₑ) is given by:

vₑ = √(2GM/r)

where:

G = gravitational constant

M = mass of the planet

r = radius of the planet

Given:

M₂ = 1000M₁ (mass of the new planet is 1000 times that of Earth)

r₂ = 10r₁ (radius of the new planet is 10 times that of Earth)

Escape velocity on the new planet (vₑ₂) is:

vₑ₂ = √(2GM₂/r₂)

= √(2G(1000M₁)/(10r₁))

= √(200G(M₁/r₁))

= √200 × √(2GM₁/r₁)

= √200 × vₑ₁

Given vₑ₁ = 11.2 km/s:

vₑ₂ ≈ √200 × 11.2 km/s

≈ 112 km/s

Explanation

Since the smaller part becomes stationary, it means that the larger part will carry all the momentum.

Let's say the mass of the smaller part is m and the mass of the larger part is 3m.

Initial momentum = Final momentum

mV + 3mV = 3mV'

where V' is the velocity of the larger part.

Combine like terms:

4mV = 3mV'

Divide both sides by 3m:

V' = 4V/3

Explanation