Heat required Q = mcΔT = (2000 g)(0.9 J/g°C)(50°C) = 90000 J.

Impedance Z = √(R² + X²) = √(4² + 3²) = √(16 + 9) = √25 = 5 ohms.

Impedance Z = √(R² + X²) = √(4² + 3²) = √(16 + 9) = √25 = 5Ω.

Impedance Z = √(R² + (XL)²), where XL = 2πfL = 31.42Ω. Thus, Z = √(10² + 31.42²) = 15.71Ω.

Impedance Z = √(R² + (XL)²), where XL = 2πfL = 31.42Ω. Thus, Z = √(10² + 31.42²) = 15.71Ω.

Impedance Z = √(R² + (1/(ωC))²) where ω = 2πf. Here, R = 4Ω, C = 2μF, f = 50Hz. Calculate Z.

At resonance, the impedance is equal to the resistance, which is 4Ω.

The impedance Z in a series RL circuit is given by Z = √(R² + (2πfL)²).

The impedance Z in a series R-L circuit is given by Z = √(R² + (ωL)²).

Kinetic Energy (KE) = 0.5 × m × v² = 0.5 × 3 kg × (4 m/s)² = 24 J.

Kinetic Energy (KE) = 0.5 × mass × velocity² = 0.5 × 4 kg × (3 m/s)² = 18 J.

Latent heat of fusion (L) = Q / m = 2000 J / 0.5 kg = 4000 J/kg.

Latent heat of fusion (L_f) = Q / m = 80 cal / 20 g = 4 cal/g.

Latent heat of vaporization (L) = Q / m = 2260 kJ / 500 g = 4.52 kJ/g = 2260 J/g.

Latent heat of vaporization (L) = Q/m = 540 J / 100 g = 5.4 J/g.

The magnetic field around a long straight wire is given by B = (μ₀I)/(2πr).

The magnetic field at the center of a circular loop carrying current is directly proportional to the current and inversely proportional to the radius.

The magnetic field inside a long solenoid is uniform and directed along the axis of the solenoid when it carries a current.

The magnetic field inside a long solenoid is uniform and parallel to the axis of the solenoid.

The magnetic field inside a long solenoid is uniform and parallel to the axis of the solenoid when the current is steady.

The magnetic field inside a long solenoid is uniform and parallel to the axis of the solenoid.

The maximum displacement in a mass-spring system is defined as the amplitude, which is given as 0.3 m.

The maximum displacement from the mean position in simple harmonic motion is called amplitude.

The maximum number of bright fringes is given by the formula n = d/λ. Here, n = 0.1 mm / 500 nm = 200, which means 20 bright fringes can be observed on either side of the central maximum.

The maximum number of bright fringes depends on the wavelength and the slit separation, as it determines how many integer multiples of the wavelength fit within the observable range.

The minimum energy required is equal to the work function, which is 2 eV.

For constructive interference in a soap bubble, the minimum thickness should be λ/4, accounting for the phase change upon reflection.

Momentum (p) = mass × velocity = 3 kg × 4 m/s = 12 kg·m/s.

According to Newton's first law, if the object is moving with constant velocity, the net force is 0 N.

If the object is moving with constant velocity, net force is 0 N (Newton's first law).