Binary fission is a form of asexual reproduction commonly seen in unicellular organisms like Amoeba.

Frogs exhibit external fertilization where eggs and sperm are released into the water.

Adsorption is widely used in water purification processes to remove impurities.

In an isobaric process, the enthalpy change (ΔH) is equal to the heat absorbed or released at constant pressure.

Respiration occurs in all parts of the plant, including roots, leaves, and stems.

During Anaphase, sister chromatids are pulled apart and move toward opposite poles of the cell.

The G1 phase is where the cell spends most of its life, performing normal functions and growing.

Particles in a solid have the least amount of energy compared to liquids, gases, and plasma.

In gases, particles move freely and are far apart compared to solids and liquids.

Iron is crucial for chlorophyll synthesis and is involved in various enzymatic reactions in plants.

Integrating both sides, we get y = ∫(2x + 1)dx = x^2 + x + C.

Using an integrating factor, we find the solution is y = Ce^(2x) - 3/2.

This is a separable equation. Integrating gives y = Cx.

This is a linear first-order equation. The solution is y = 5/2 + Ce^(-2x).

The characteristic equation is r^2 - 3r + 2 = 0, which factors to (r - 1)(r - 2) = 0. The general solution is y = C1e^(x) + C2e^(2x).

This is a separable equation. Separating variables and integrating gives y = Cx.

Using the integrating factor e^(∫(1/x)dx) = x, we solve to get y = x + C/x.

The Arrhenius equation relates the rate constant (k) to temperature (T) and activation energy (Ea).

'Survival of the fittest' is a phrase often associated with Darwinism, which emphasizes the role of natural selection in evolution.

Absolute zero is defined as the temperature at which molecular motion ceases, corresponding to 0 Kelvin.

The critical angle occurs when light travels from a denser medium (water) to a less dense medium (air).

Frequency is defined as the number of cycles per unit time, hence its dimensional formula is [T^-1].

The efficiency of a Carnot engine is determined by the temperatures of both the hot and cold reservoirs, given by the formula η = 1 - (T_c/T_h).

The five-kingdom classification system was proposed by Robert Whittaker.

The force (F) on a charged particle in a magnetic field is given by F = qvB sin(θ). The force is maximum when θ = 90 degrees, as sin(90) = 1.

The force on a charged particle moving in a magnetic field is maximum when the angle between the velocity and the magnetic field is 90 degrees.

Angular frequency (ω) = 2πf = 2π × 5 = 10 rad/s

The Freundlich isotherm is represented by the equation x/m = kP^(1/n), where x is the amount adsorbed, m is the mass of the adsorbent, and P is the pressure.

The half-life of a first-order reaction is independent of the initial concentration and is directly proportional to the rate constant.

For a first-order reaction, the half-life is constant and is given by the formula t1/2 = 0.693/k.