Fringe width β = λD/d = (600 x 10^-9 m)(1 m)/(0.5 x 10^-3 m) = 0.12 mm.

The distance between the fringes increases with an increase in wavelength, as fringe separation is directly proportional to wavelength.

Increasing the distance between the slits decreases the fringe width, making the pattern narrower.

Increasing the distance between the slits increases the fringe width because the angle of diffraction increases.

In a dynamic equilibrium, the rates of the forward and reverse reactions are equal, but the concentrations of reactants and products may not be equal.

If there are at least 2 boys, the possible combinations are (2B, 2G), (3B, 1G), (4B). Thus, the probability of having at least one girl is 3/4.

The total outcomes for 3 children are 8. The outcomes with at least one boy are 7. The outcomes with at least one girl and one boy are 6. Thus, P(Girl|Boy) = 6/7 ≈ 0.857.

Using the first-order rate equation, k = (ln[A₀] - ln[A]) / t. Here, k = (ln(0.8) - ln(0.2)) / 20 = 0.0347 min⁻¹.

In a first-order reaction, the half-life is independent of the concentration of the reactant, so it remains the same.

t₁/₂ = 0.693 / k = 0.693 / 0.03 = 23.1 min.

The pressure at a depth h in a fluid is given by P = ρgh, where ρ is the fluid density and g is the acceleration due to gravity.

Increasing the temperature generally decreases the viscosity of a fluid, making it flow more easily.

While temperature, pressure, and fluid composition affect viscosity, fluid density does not directly affect viscosity.

When the driving frequency equals the natural frequency, resonance occurs, leading to maximum amplitude.

Ratio = driving frequency / natural frequency = 5 Hz / 4 Hz = 1.25.

Increasing the amplitude of the driving force generally increases the amplitude of the oscillation in a forced system.

Energy is proportional to the square of the amplitude, so if amplitude is doubled, energy increases by 2^2 = 4 times.

Maximum amplitude occurs when the driving frequency is equal to the natural frequency.

In forced oscillations, the amplitude is directly proportional to the driving force in the steady state.

Ratio = driving frequency / natural frequency = 2 / 1.5 = 1.33

When the driving frequency matches the natural frequency, resonance occurs, leading to maximum amplitude.

When the driving frequency matches the natural frequency, resonance occurs, leading to maximum amplitude.

Increasing the amplitude of the driving force generally increases the amplitude of the forced oscillation.

At resonance, the driving frequency matches the natural frequency of the system, leading to a significant increase in amplitude.

The maximum amplitude achieved at resonance is referred to as the resonance peak.

The modal class is 20-30 as it has the highest frequency (15).

Mode is the class with the highest frequency, which is 20-30.

The modal class is 20-30 since it has the highest frequency.

The modal class is 20-30 since it has the highest frequency (15).

Since there is one mode (10), the data is unimodal.