In an elastic collision, the total angular momentum about the center of mass is conserved.

The potentials due to both charges at the midpoint cancel each other, so V = 0 V.

At the midpoint, the electric fields due to both charges cancel each other out, resulting in a net electric field of 0.

At the midpoint, the potentials due to both charges cancel each other out, resulting in a net potential of 0 V.

The electric potential at the midpoint is zero because the potentials due to +Q and -Q cancel each other out.

Using the formula for parallel resistors, 1/R_eq = 1/R1 + 1/R2 = 1/4 + 1/6 = 5/12, R_eq = 12/5 = 2.4Ω.

v = √(GM/(R+h)), for h2 = 2h1, v2 = √(GM/(R+2h1)), thus v1/v2 = √(R+2h1)/(R+h1) = 1:√2.

The distance from the point to the center is given by the Pythagorean theorem: distance = √(tangent length² + radius²) = √(7² + r²).

Relative speed = 60 + 90 = 150 km/h. Time = distance/speed = 300/150 = 2 hours.

Relative speed = 80 km/h + 100 km/h = 180 km/h. Time = Distance / Speed = 450 km / 180 km/h = 2.5 hours.

Relative speed = 80 km/h + 120 km/h = 200 km/h. Time = Distance / Speed = 400 km / 200 km/h = 2 hours.

Relative speed = Speed of A + Speed of B = 60 km/h + 90 km/h = 150 km/h.

Distance = (Speed of A + Speed of B) × Time = (80 km/h + 100 km/h) × 2 hours = 360 km.

Constructive interference occurs when the phase difference between the two waves is 0 or an integer multiple of 2π.

Worker 1's rate = 1/15, Worker 2's rate = 1/20. Combined rate = 1/15 + 1/20 = 7/60. In 5 days, they complete 7/12 of the job, leaving 5/12.

Worker 1's rate = 1/20, Worker 2's rate = 1/30. Combined rate = 1/20 + 1/30 = 1/12. In 10 days, they complete 10/12 = 5/6 of the job, leaving 1/6.

Total investment = 20000 + 30000 = 50000. U's share = (20000/50000) * 5000 = $2000.

Total parts = 3 + 5 + 2 = 10. W's share = (2/10) * 15000 = $3000.

The Mahatma Gandhi National Rural Employment Guarantee Act (MGNREGA) provides 100 days of guaranteed wage employment in a financial year to every rural household.

Under the PM-KISAN scheme, farmers receive Rs. 6000 annually in three equal installments.

A citizen can approach the Supreme Court under Article 32 for the enforcement of Fundamental Rights.

Article 32 of the Indian Constitution provides the right to constitutional remedies for the enforcement of Fundamental Rights.

The Right to Constitutional Remedies is enshrined in Article 32 of the Indian Constitution.

The Right to Constitutional Remedies is provided under Article 32, allowing individuals to approach the Supreme Court for enforcement of their rights.

The Right to Education is derived from Article 21, which guarantees the right to life and personal liberty.

Article 14 of the Indian Constitution guarantees the Right to Equality, stating that the State shall not deny to any person equality before the law.

The Right to Freedom of Speech and Expression is provided under Article 19 of the Constitution.

According to the right-hand rule, the magnetic field produced by a straight current-carrying wire is perpendicular to the wire.

The magnetic field at the center of a circular loop of radius R carrying current I is given by B = μ₀I/(2R) and for a complete loop, it simplifies to B = μ₀I/(2πR).

Inside a uniformly charged cylindrical shell, the electric field is zero due to symmetry, as the contributions from all parts of the shell cancel out.