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In the context of Young's modulus, which relationship holds true when comparing two materials?

1. The ratio of weights is equal to the ratio of their Young's moduli.
2. The dimensions such as area, length, and elongation are identical for both brass and steel.
3. The ratio of applied forces is proportional to the ratio of their Young's moduli.
4. The Young's modulus of steel is twice that of brass.

Correct answer: The ratio of applied forces is proportional to the ratio of their Young's moduli.

Solution

Young's modulus is defined as the ratio of stress to strain. If A, l, and Δl are the same for both materials, the ratio of weights (W1/W2) will be equal to the ratio of their Young's moduli (Y1/Y2).

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