Explanation

The average translational kinetic energy of a molecule in an ideal gas is given by the formula:

E=3/2​kT

Where:

• $k = 1.38 times 10^{-23} , text{J/K}$ (Boltzmann constant)

• T=27∘C=300K (since 27°C + 273 = 300 K)

Now calculate:

E=3​/2×1.38×10^−23×300
E=3/2​×4.14×10^−21

6.21×10^−21 J

Explanation

 Angular momentum (L) is defined as the cross product of the position vector (r) of a particle with its linear momentum (p) relative to a chosen origin. 

Explanation

The dot product of a vector with itself is equal to the square of its magnitude, or |A|².

The dot product of two vectors A and B is defined as: A · B = |A| |B| cos θ, where θ is the angle between the vectors.

When a vector is dotted with itself, the angle θ becomes 0 (since the vectors are parallel), and cos 0 = 1.

Therefore, A · A = |A| |A| cos 0 = |A|². 

Explanation

Bragged means شیخی مار

Boasted means گھمنڈ

Explanation

"The form was singing with the clamor of the distinction."

Clamor means: شور مچانا

A loud and confused noise, often from a crowd or chaotic environment.

 Noise بےهنگم آواز   – Best match; clamor refers to loud, often harsh or unpleasant noise.

Explanation

Vexing means پریشان کرنے والا

Annoying means غصہ دلانے والا

Disturbing means پریشان کن

Explanation

 "Screamed" means to yell or cry out loudly, often due to fear, anger, or excitement.

The best synonym is Yelled چیخنا

Explanation

"Damnation means لعنت" means eternal punishment or being condemned

Condemnation means مزمت

Explanation

He had his breakfast at 9 o’clock.

The sentence refers to a specific time in the past ("at 9 o’clock"), so the correct tense is simple past.

"Had" is the simple past tense of "have," and it fits well with a completed past action at a specific time.

Explanation

I hope they will not have left the city before I reach there.

مجھے امید ہے کہ میرے وہاں پہنچنے سے پہلے وہ شہر چھوڑ کر نہیں گئے ہوں گے۔

The sentence talks about a future action ("before I reach there") 

Future completed action is the future perfect:

will not have + past participle

"Will not have left" shows:

A completed action in the future

That you hope they are still there when you arrive