Concept:
The cell contains different organelles, and each organelle performs a specific function. The organelle responsible for energy production is called the powerhouse of the cell.
Step 1: Understanding the role of mitochondria.
Mitochondria are double-membrane bound organelles present in eukaryotic cells. They are mainly responsible for cellular respiration.
Step 2: ATP production.
During aerobic respiration, glucose is oxidized and energy is released in the form of ATP.
\[
\text{Glucose} + O_2 \rightarrow CO_2 + H_2O + ATP
\]
Step 3: Why mitochondria are called powerhouse.
ATP is the main energy currency of the cell. Since mitochondria produce most of the ATP, they are called the powerhouse of the cell.
Step 4: Checking other options.
Nucleus controls cellular activities and stores genetic material.
Ribosomes are involved in protein synthesis.
Lysosomes contain digestive enzymes.
Mitochondria produce energy.
\[
\boxed{\text{Mitochondria}}
\]