Explanation

• Embezzle means غبن
• Misappropriate means غلط

Last verified on 05-06-2026

Explanation

• Indus Water Treaty was signed between Pakistan (President Ayub Khan) and India (Prime Minister Jawaharlal Nehru).
• Eugene R. Black (President of the World Bank) brokered the Indus Waters Treaty on behalf of the World Bank.
• It was signed on September 19, 1960, in Karachi.

It became effective on April 1, 1960.

• Western Rivers (given to Pakistan): Indus, Jhelum, Chenab
• Eastern Rivers (given to India): Ravi, Beas, Sutlej

Last verified on 30-03-2026

Explanation

• Headquarters: Manila, Philippines
• Established: 19 December 1966
• Membership: 68 countries
• Asia & Pacific: 49
• Outside region (Non-Asian): 19

• Largest recipient of ADB loans: Pakistan
• Pakistan received highest ADB loans in 2022: $5.58 billion
• ADB loans & grants to Pakistan (2021): $1.31 billion
• Largest shareholder of ADB: Japan

Last verified on 20-06-2026

Explanation

• "Badr" means "full moon" in Arabic.
• The Battle of Badr, also called Furqan.
• The Battle of Badr is also known as The Day of the Criterion.
• Day of the Criterion means کسوٹی کا دن
• It took place on Tuesday, 13 March 624 CE (17 Ramadan, 2 AH) near the city of Badr.
• Prophet Muhammad SAW, commanding his Sahaba, defeated the Quraysh army led by Abu Jahl (Amr ibn Hishām).
• The Kufar forces numbered 1,000.
• It was the first battle of Islam, with 313-317 Muslims.
• The Muslim forces included 82-85 Muhajirun and 231 Ansar (61 from Aws and 170 from Khazraj).
• They had 2 horses and 70 camels.
• Fourteen Muslims were martyred, while 70 Kufar were killed and 70 captured.
• Surah Al-Anfal mentions that Allah promised to reinforce the Muslims with 1,000 angels.

Last verified on 09-05-2026

Explanation

• Total amendments: 27
• Constitution adopted: 14 August 1973
• First Amendment: 1974
• Major Amendment: 18th Amendment (2010) – strengthened provincial autonomy.
• Latest Amendment: 27th Amendment

Last verified on 10-06-2026

Explanation

• The Arctic is the shortest ocean in the world.

Additional information:

• The Pacific is the largest ocean in the world.
• 71% of Earth's surface is covered by ocean.
• The warmest ocean in the world is the Indian ocean.
• The hottest ocean area is the Persian Gulf.
• Diamantina Trench is the deepest place in the Indian ocean.
• Country Jordon has no ocean.

The five major oceans listed by size from largest to smallest are the:

1. The Pacific Ocean
2. The Atlantic Ocean
3. The Indian Ocean
4. The Southern Ocean
5. The Arctic Ocean

Last verified on 07-06-2026

Explanation

For a string wave: v = √(T/μ) and from wave equation Y = A sin(kx + ωt), v = ω/k

1. Find wave speed from equation  

   Y = 0.021 sin(x + 30t) → compare with sin(kx + ωt)  

   So k = 1 rad/m, ω = 30 rad/s  

   v = ω/k = 30/1 = 30 m/s

2. Use v = √(T/μ) → T = μv²  

   μ = 1.3 × 10⁻³ kg/m  

   T = 1.3 × 10⁻³ × (30)² = 1.3 × 10⁻³ × 900  

   T = 1.17 N ≈ 1.20 N

Last verified on 05-06-2026

Explanation

For an ideal gas, average translational KE ∝ T. It doesn’t depend on the gas type, only on temperature.

KE_avg = (3/2)kT, so KE₂/KE₁ = T₂/T₁

Given:  

KE₁ = 6 × 10⁻²⁰ J at T₁ = 300 K  

T₂ = 750 K  

KE₂ = KE₁ × (T₂/T₁) = 6 × 10⁻²⁰ × (750/300)  

= 6 × 10⁻²⁰ × 2.5 = 1.5 × 10⁻¹⁹ J

Last verified on 05-06-2026

Explanation

Collision frequency = average speed / mean free path

ν = v / λ

Given:  

v = 600 m/s  

λ = 3 × 10⁻⁷ m  

ν = 600 / (3 × 10⁻⁷) = 200 × 10⁷ = 2 × 10⁹ s⁻¹

So each N₂ molecule bumps into another about 2 billion times every second at 27°C.

Last verified on 05-06-2026

Explanation

Work done = Change in rotational kinetic energy = ½Iω₂² - ½Iω₁²

1. Moment of inertia of disc I = ½mr²  

   m = 2 kg, diameter = 2m → radius r = 1m  

   I = ½ × 2 × 1² = 1 kg·m²

2. Convert rpm to rad/s  

   ω₁ = 300 rpm = 300 × 2π/60 = 10π rad/s  

   ω₂ = 600 rpm = 600 × 2π/60 = 20π rad/s  

3. ΔKE = ½(1)[(20π)² - (10π)²]  

   = 0.5 [400π² - 100π²]  

   = 0.5 × 300π² = 150π²  

   π² ≈ 9.87 → 150 × 9.87 ≈ 

1479 J

So you need ∼1479 J of work to double the rpm from 300 to 600.

Last verified on 05-06-2026