The uncertainty principle states that position and momentum cannot be known simultaneously with arbitrary precision in quantum mechanics.

The union of two sets combines all unique elements from both sets.

Viscosity generally decreases with an increase in temperature.

Thermal conductivity is a measure of a material's ability to conduct heat; it varies with material type.

Torque depends on the angle of application, as it is calculated using τ = F × d × sin(θ).

Total internal reflection requires that the light travels from a denser medium to a rarer medium, making the second statement true.

The sum of the angles in any triangle is always 180 degrees, which is a fundamental property of triangles.

The mixed graph reveals that variable J exhibits a cyclical pattern, indicating periodic fluctuations over time.

Viscosity is a scalar quantity that measures a fluid's resistance to flow.

Weak acids do not completely dissociate in solution and typically have a higher pKa value compared to strong acids.

X-rays are a form of electromagnetic radiation, similar to visible light but with much higher energy and shorter wavelength.

The author argues that systemic inequalities require collective action to address effectively.

Sustainable Development emphasizes balancing economic growth with environmental protection and social equity.

The British education system led to the emergence of a new educated middle class that played a crucial role in the socio-political landscape of India.

The Gupta Empire (c. 320-550 CE) is often referred to as the Golden Age of India due to its remarkable achievements in various fields such as mathematics, astronomy, and literature, which flourished during this period.

Diverse teams bring different perspectives and ideas, which can enhance creativity and problem-solving.

A facilitator's primary role is to guide discussions and ensure that all team members contribute.

A team leader should facilitate discussions and encourage participation to foster a collaborative environment and ensure all voices are heard.

NGOs in India during the 20th century were instrumental in advocating for women's rights and education, significantly contributing to social reform.

The State Legislature is primarily responsible for enacting laws on subjects that fall under the State List as per the Constitution of India.

The Magna Carta established the principle that everyone, including the king, was subject to the law, thus limiting the powers of the monarchy and laying the groundwork for the development of parliamentary democracy.

The Mauryan Empire, established in 322 BCE, is significant for unifying most of the Indian subcontinent under a centralized administration, which laid the foundation for future empires.

The Mauryan Empire, established in 322 BCE, is significant for being the first empire to unify most of the Indian subcontinent under a centralized administration.

The Vedic period saw a more fluid social structure where individuals could change their social status based on merit and achievements, unlike the later rigid caste system.

Diminishing returns occur when adding more of a resource results in a smaller increase in output, which is illustrated by option 1.

The principle of diminishing returns states that after a certain point, adding more of a resource will yield progressively smaller increases in output, making option 1 correct.

The graph shows that each product launch corresponds with a spike in sales, indicating a positive correlation.

Pareto Efficiency is achieved when no individual can be made better off without making someone else worse off, thus option 1 is correct.

The passage suggests that digital sum will evolve and integrate with emerging technologies, indicating a promising future.

The passage suggests that a solid understanding of digital sum is essential for effective data analysis in various fields.