In a generator, the rotating coil in a magnetic field induces current through electromagnetic induction, converting mechanical energy into electrical energy.

The nth term of a geometric series is given by a_n = ar^(n-1). Thus, a_4 = 4 * 3^(4-1) = 4 * 27 = 108.

The gravitational potential energy is considered maximum at infinity, where it is defined to be zero.

P(Football|Cricket) = P(Football and Cricket) / P(Cricket) = 10/60 = 1/6.

Using conditional probability, P(Football | Basketball) = P(Football and Basketball) / P(Basketball) = 10/30 = 1/3.

If the person is not a smoker, they must be a non-smoker. Therefore, the probability is 1.

Using the principle of inclusion-exclusion, the number of people who like either tea or coffee is 30 + 20 - 10 = 40. The probability is 40/50 = 0.8.

In a harmonic oscillator, the total mechanical energy is the sum of kinetic and potential energy, which remains constant over time.

Efficiency = (Work output / Heat input) × 100 = (300 J / 800 J) × 100 = 37.5%.

Efficiency = (Work done / Heat absorbed) * 100 = (200 J / 500 J) * 100 = 40%.

Efficiency = (Work output / Heat input) × 100 = (200 J / 600 J) × 100 = 33.33%.

The work done by a heat engine is equal to the heat absorbed from the hot reservoir minus the heat rejected to the cold reservoir.

Efficiency is calculated as (Output Power / Input Power) * 100%. Here, efficiency = (1800 W / 2000 W) * 100% = 90%.

Output power can be calculated using the formula: Output Power = Efficiency * Input Power. Here, Output Power = 0.8 * 500 W = 400 W.

The energy levels of a hydrogen atom are given by E_n = -13.6/n^2 eV, where n is the principal quantum number.

The energy of the electron in the ground state of a hydrogen atom is -13.6 eV.

The energy of an electron in a hydrogen atom in the n=2 state is given by E_n = -13.6/n^2 = -13.6/4 = -3.4 eV.

Using the Rydberg formula, the wavelength for the transition from n=3 to n=2 is approximately 486 nm.

The energy of the emitted photon is highest for the transition from n=2 to n=1, as it involves the largest energy difference.

The energy of the photon emitted is highest for the transition from n=2 to n=1, as it involves the largest energy difference.

The energy of the emitted photon is highest for the transition from n=2 to n=1, as it involves the largest energy difference.

Relative error = (Uncertainty / Measured value) * 100 = (0.05 / 1.2) * 100 = 4.17%.

Total uncertainty = (2 m/s) / 2 = ±1 m/s.

Percentage uncertainty = (absolute uncertainty / measured value) * 100 = (5 / 340) * 100 ≈ 1.47%.

The spherical shape of a liquid drop minimizes the surface area, which is a result of surface tension acting to reduce the energy of the surface.

There is 1 winning ticket out of 10. Probability = 1/10.

The probability of drawing a winning ticket is 3/10.

The probability of selecting a winning ticket is the number of winning tickets divided by the total number of tickets, which is 3/10.

The probability of selecting a winning ticket is the number of winning tickets divided by the total number of tickets, which is 2/10 = 1/5.

The probability of selecting a winning ticket is the number of winning tickets divided by the total number of tickets, which is 3/10.