Explanation

For masses m and 3m over a frictionless pulley, the heavier mass pulls the system down. 

Net pulling force = 3mg - mg = 2mg  

Total mass being moved = m + 3m = 4m  

So acceleration a = net force / total mass = 2mg / 4m = g/2.

Thus the system accelerates at g/2, with 3m going down and m going up.

Last verified on 22-05-2026

Explanation

Find acceleration first using F = ma

a = F/m = 6 N / 2 kg = 3 m/s²

Initial velocity u = 0 since it starts from rest.  

Time t = 3 s.

Use the distance formula: s = ut + ½at² 

s = 0(3) + ½(3)(3)²  

s = ½(3)(9)  

s = 13.5 m

Last verified on 22-05-2026

Explanation

At the midpoint:

• Field due to +q (at −a) points away from +q → toward +x direction
• Field due to −q (at +a) points toward −q → also toward +x direction

Both contributions add in the +x direction toward the −q charge, so net field is along +x axis.

So correct direction is actually +x axis.

Last verified on 22-05-2026

Explanation

First, series combination:

1/C = 1/2 + 1/3 = (3+2)/6 = 5/6

C = 6/5 = 1.2 μF

Now in parallel with 5 μF:

C_total = 1.2 + 5 = 6.2 μF

Last verified on 22-05-2026

Explanation

• Electric potential due to a point charge is: V=kQ/r.
• It is inversely proportional to distance r.
• k = Coulomb constant (9 × 10⁹ Nm²/C²).

Last verified on 22-05-2026

Explanation

• Waves are of two main types: transverse and longitudinal.
• Transverse waves vibrate perpendicular to the direction of travel.
• Longitudinal waves vibrate parallel to the direction of travel.
• Both can reflect and refract.
• Only transverse waves show a unique property called polarization.

Last verified on 22-05-2026

Explanation

• Entropy is a measure of disorder in a system.
• An isolated system does not exchange energy or matter with surroundings.
• Irreversible processes naturally occur in real life.
• They involve energy dissipation like heat loss or friction.
• This leads to an increase in disorder of the system.

Last verified on 22-05-2026

Explanation

Work output = 180 J

Efficiency = (Work / Heat absorbed) × 100

= (180 / 600) × 100

= 30%

Last verified on 22-05-2026

Explanation

• A monatomic ideal gas contains single-atom particles like He, Ne, Ar.
• Its internal energy depends only on translational motion.
• Degrees of freedom = 3 (x, y, z directions).
• Using kinetic theory, heat capacity can be derived.
• At constant volume, all heat increases internal energy only.

Last verified on 22-05-2026

Explanation

• A satellite orbiting close to Earth moves under Earth’s gravity.
• Its motion is circular near the surface.
• Time period depends on Earth’s radius and gravitational acceleration.
• It is derived using circular motion equations.
• It is independent of satellite mass.

Additional information:

• R (Earth radius) ≈ 6.37 × 10⁶ m
• g ≈ 9.8 m/s²
• Time period ≈ 84–85 minutes (low Earth orbit)

Last verified on 22-05-2026