The correct answer is: A. increases
The bulk modulus of elasticity is a measure of how difficult it is to compress a material. It is defined as the ratio of the change in pressure to the corresponding fractional change in volume.
When pressure is applied to a material, the molecules in the material are forced closer together. This causes the material to compress. The amount of compression depends on the bulk modulus of the material.
Materials with a high bulk modulus are difficult to compress. This is because the molecules in these materials are strongly bonded together. It takes a lot of force to overcome these bonds and compress the material.
Materials with a low bulk modulus are easy to compress. This is because the molecules in these materials are not strongly bonded together. It does not take much force to overcome these bonds and compress the material.
The bulk modulus of elasticity increases with increase in pressure. This is because the molecules in the material are forced closer together when pressure is applied. This causes the bonds between the molecules to become stronger. It takes more force to overcome these bonds and compress the material.
The following are the explanations for each option:
- Option A: The bulk modulus of elasticity increases with increase in pressure. This is because the molecules in the material are forced closer together when pressure is applied. This causes the bonds between the molecules to become stronger. It takes more force to overcome these bonds and compress the material.
- Option B: The bulk modulus of elasticity decreases with increase in pressure. This is not true. The bulk modulus of elasticity increases with increase in pressure.
- Option C: The bulk modulus of elasticity remains constant with increase in pressure. This is not true. The bulk modulus of elasticity increases with increase in pressure.
- Option D: The bulk modulus of elasticity increases first upto certain limit and then decreases. This is not true. The bulk modulus of elasticity increases monotonically with increase in pressure.