If speed , area and force are chosen as fundamental units, then the dimension of Young's modulus will be:

Question

If speed , area  and force  are chosen as fundamental units, then the dimension of Young's modulus will be:

Canvas Classes · Accepted Answer

🧠 Young's Modulus = Stress = Force / Area

Young's modulus has the dimension of stress (stress / strain = stress, since strain is dimensionless). Stress is force per unit area, . So in the new system where  and  are fundamental:

No velocity factor needed at all — .

The first move: recall  stress = . Write it in the new base. Done.

🗺️ Working It Out

Young's modulus is defined as

where strain is dimensionless. So :

This expression has no velocity dependence: . Matches option (d).

⚡

More questions from this chapter

More questions from this chapter