The invention of zero is one of the major achievements during the Gupta Empire, marking significant advancements in mathematics.

The Gupta Empire is celebrated for significant advancements in mathematics and science, including the concept of zero.

The half-life of a first-order reaction is given by t1/2 = 0.693/k, which depends only on the rate constant.

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.

The half-life of a first-order reaction is given by the formula t1/2 = 0.693/k, where k is the rate constant.

The half-life of a first-order reaction is given by t₁/₂ = 0.693/k.

The half-life of a first-order reaction is given by t₁/₂ = 0.693/k.

The half-life of a first-order reaction is given by the expression t1/2 = 0.693/k, where k is the rate constant.

The half-life of a first-order reaction is given by t₁/₂ = 0.693/k.

The half-life of a first-order reaction is given by the formula t1/2 = 0.693/k, where k is the rate constant.

The half-life of a first-order reaction is given by the formula t1/2 = 0.693/k, which shows that it is independent of the initial concentration.

The half-life of a first-order reaction is independent of the initial concentration.

The half-life of a first-order reaction is independent of the initial concentration.

Natural selection is not a condition for Hardy-Weinberg equilibrium; it actually disrupts genetic equilibrium by favoring certain alleles over others.

The pair 5 and 12 has an HCF of 1 and an LCM of 60.

Using the relation HCF * LCM = Product of the numbers, we have 7 * 84 = 21 * x, which gives x = 42.

The heat capacity at constant volume (Cv) is directly related to the change in internal energy of the system.

The heat capacity at constant volume (Cv) is defined as the amount of heat required to raise the temperature of a substance by 1°C at constant volume.

The heat capacity at constant volume (C_v) is defined as the amount of heat added to the system divided by the change in temperature at constant volume.

The heat capacity of a substance is defined as the amount of heat required to raise the temperature of one mole of the substance by one degree Celsius.

The heat transfer coefficient in convection depends on surface area, fluid velocity, and temperature difference.

Changing to active voice, we focus on 'the students' who completed the homework, resulting in 'The students completed the homework.'

When the object is placed between the focal point and the mirror, the image formed is virtual and erect.

The Industrial Revolution led to massive urbanization as people moved to cities for factory jobs, resulting in the emergence of a distinct working class.

The impedance (Z) of an RLC circuit is given by Z = √(R² + (X_L - X_C)²), where X_L is the inductive reactance and X_C is the capacitive reactance.

The impedance (Z) of an RLC circuit is minimum when the inductive reactance (X_L) equals the capacitive reactance (X_C), which is the condition for resonance.

The Indian Independence Act was enacted in 1947, leading to the partition of India and the establishment of two independent dominions.

The Indian Independence Act was passed by the British Parliament in July 1947.

The Indian National Congress was founded in 1885, marking the beginning of organized political activity in India.