Identifying the Incorrect Statement on Energy Sources

The question requires us to identify which of the provided statements about different forms of energy and nuclear processes is factually incorrect.

Detailed Analysis of Each Statement

• Statement 1: Geothermal Energy Extraction

  This statement describes the process of harnessing geothermal energy. It mentions drilling wells to access steam or hot water from heated areas within the Earth's crust. This is an accurate description of conventional geothermal power generation methods.

• Statement 2: Mass Changes in Fission and Fusion

  This statement makes a comparison between nuclear fission and nuclear fusion regarding mass changes. It claims that in fission, the mass of the end products is less than the initial mass, but this is not the case for fusion. This statement is incorrect. In both nuclear fission (the splitting of a heavy atomic nucleus) and nuclear fusion (the combining of light atomic nuclei), energy is released because there is a conversion of mass into energy. This phenomenon is known as the 'mass defect'. According to Einstein's mass-energy equivalence principle, represented by the equation $E=mc^2$, the total mass of the products in both fission and fusion reactions is slightly less than the total mass of the reactants. This lost mass ($m$) is converted into a substantial amount of energy ($E$). Therefore, the mass of the end products is less than the mass at the beginning in both fission and fusion.

• Statement 3: Biomass as Indirect Solar Energy

  This statement classifies biomass as a form of indirect solar energy. Biomass consists of organic materials from plants and animals. Plants capture solar energy through photosynthesis to grow. When we use biomass for energy (e.g., burning wood, biofuels), we are essentially releasing the solar energy that was stored in the organic matter. Hence, it is correctly considered indirect solar energy.

• Statement 4: Wind Energy Profitability Factors

  This statement suggests that harnessing wind energy is profitable in specific locations like islands and mountain passes. These geographical locations often benefit from consistent and strong wind patterns due to topographical effects and fewer obstructions. Therefore, wind farms located in such areas can be more efficient and profitable.

Conclusion on the Incorrect Statement

Based on the scientific principles of nuclear physics, Statement 2 is the one that contains inaccurate information. Mass is converted to energy in both fission and fusion due to mass defect, meaning the end products have less mass than the initial reactants in both processes.