Area = πr²; 154 = 22/7 * r²; r² = 154 * 7/22 = 49; r = 7 units.

Circumference = 2πr; 31.4 = 2πr; r = 31.4/(2π) ≈ 5 m.

Radius is half of the diameter. Therefore, radius = 14 cm / 2 = 7 cm.

For a first-order reaction, k = 0.693 / t₁/₂. Here, t₁/₂ = 10 min, so k = 0.693 / 10 = 0.0693 min⁻¹.

The rate law for a reaction is determined by the order with respect to each reactant. For a first order with respect to A and second order with respect to B, the rate law is Rate = k[A][B]^2.

For a second order reaction with respect to A, the rate law is expressed as Rate = k[A]^2.

The rate law is determined by the order of the reaction with respect to each reactant. For first order in A and second order in B, the rate law is Rate = k[A][B]^2.

Reactance (X_L) = 2πfL = 2π(50)(0.1) = 31.4 Ω.

The reactance of an inductor in an AC circuit is given by the formula X_L = 2πfL.

The real part of the complex number 4 + 5i is 4.

The real part of the complex number 7 - 4i is 7.

The standard reduction potential for 2H⁺ + 2e⁻ → H₂ is 0.00 V.

The relationship is given by I = Q / t, where I is current, Q is charge, and t is time.

The relationship is given by Ohm's law: I = V/R.

The frequency (f) is the reciprocal of the period (T), given by the formula f = 1/T.

The frequency (f) of a wave is the reciprocal of the period (T), given by the formula f = 1/T.

The relationship is ΔG = -nFE, where n is the number of moles of electrons transferred.

In a fluid at rest, pressure increases with depth due to the weight of the fluid above.

The period T is the reciprocal of frequency f, given by T = 1/f.

The relationship is given by V_p/V_s = N_p/N_s, where V is voltage and N is the number of turns.

According to the Arrhenius equation, the rate of reaction increases exponentially with temperature.

For a sinusoidal AC current, the relationship is RMS = Average / √2.

The angle of diffraction is directly proportional to the wavelength of light used in a diffraction grating, as described by the grating equation.

Ohm's Law states that the voltage (V) across a conductor is directly proportional to the current (I) flowing through it, with the resistance (R) being the constant of proportionality. Therefore, V = I * R.

The resting membrane potential of a typical neuron is approximately -70 mV.

(15 + 5) = 20, then 20 × 2 = 40.

(15 + 5) = 20, so 20 × 2 = 40.

15 ÷ 3 = 5, then 5 × 4 = 20.

Cytokinesis results in the physical separation of the cytoplasm, leading to the formation of two daughter cells.

A capacitor is used in semiconductor circuits to store charge temporarily.