General Science - MCQ Practice Questions

For capacitors in series: 1/C = 1/C₁ + 1/C₂ = $\frac{1}{2}$ + $\frac{1}{3}$ = $\frac{5}{6}$. Therefore C = $\frac{6}{5}$ = 1.2 μF.

Refractive indices: Air ≈ 1, Water ≈ 1.33, Glass ≈ 1.5, Diamond ≈ 2.42. Diamond has the highest refractive index among these options.

Centripetal acceleration a = v²/r = (10)²/5 = $\frac{100}{5}$ = 20 m/s².

Charge Q = I × t, where I = 5 A and t = 10 s. Q = 5 × 10 = 50 Coulombs.

The Lyman series involves transitions to n=1 from higher energy levels. Balmer series ends at n=2, Paschen at n=3, and Brackett at n=4.

This problem requires using Newton's Second Law to find acceleration, then applying kinematic equations to determine final velocity.

Step 1: Find the Acceleration Using Newton's Second Law

Newton's Second Law states that the net force equals mass times acceleration. We need to rearrange to solve for acceleration.

Step 2: Apply the Kinematic Equation to Find Final Velocity

Since the object starts from rest (initial velocity = 0) and travels a distance of 5 m with constant acceleration, we use the equation that relates velocity, acceleration, and distance.

The velocity after traveling 5 m is 5√2 m/s (≈ 7.07 m/s). The answer is (A).