Increasing the angle of inclination will NOT increase the energy lost by the block due to friction.

Explanation:

Friction is a force that opposes the motion of an object. When the block slides down the inclined plane, friction acts in the opposite direction of the motion, causing the block to lose energy. The energy lost due to friction is converted into heat.

When considering the factors that affect the energy lost by the block due to friction, we need to analyze the impact of each option:

a) Increasing the angle of inclination:
- When the angle of inclination increases, the component of the gravitational force acting parallel to the plane (called the gravitational force component) also increases.
- This increases the force of friction acting on the block, which in turn increases the energy lost due to friction.
- Therefore, increasing the angle of inclination does increase the energy lost by the block due to friction.

b) Increasing the distance that the block travels:
- Increasing the distance that the block travels does not directly affect the energy lost due to friction.
- The energy lost due to friction depends on the force of friction and the distance over which it acts.
- However, increasing the distance traveled may indirectly affect the energy lost due to other factors, such as air resistance.
- Therefore, increasing the distance that the block travels may or may not increase the energy lost by the block due to friction, depending on the specific scenario.

c) Increasing the acceleration due to gravity:
- The acceleration due to gravity affects the gravitational force acting on the block.
- However, the force of friction depends on the normal force exerted on the block, which is unaffected by the acceleration due to gravity.
- Therefore, increasing the acceleration due to gravity does not directly affect the energy lost by the block due to friction.

d) Increasing the mass of the block:
- Increasing the mass of the block increases the normal force exerted on the block, which in turn increases the force of friction.
- This increase in frictional force leads to an increase in the energy lost by the block due to friction.
- Therefore, increasing the mass of the block does increase the energy lost by the block due to friction.

In conclusion, option 'A' is the correct answer because increasing the angle of inclination does not increase the energy lost by the block due to friction.