Two wires of equal length and cross-section are suspended as shown. Their Young's moduli are Y1 and Y2, respectively. The equivalent Young's modulus will be:
Correct answer: B. (Y1 + Y2) / 2
- A. Y1 + Y2
- B. (Y1 + Y2) / 2
- C. (Y1 * Y2) / (Y1 + Y2)
- D. √(Y1 * Y2)
Explanation
The correct answer is Option B: (Y1 + Y2) / 2. Option A is incorrect because it implies a linear addition of moduli, which is applicable in parallel arrangements, not series. Option C is incorrect because it reflects a division of stress in a different context. Option D shows the geometric mean.
Last updated
Related questions
A 4.0 m long wire is subjected to stretching force and its length increases by 40 cm. The percent elongation which the wire undergoes is:
A ball falling in a lake of 200 m shows a decrease of 0.1% in its volume. The bulk modulus of elasticity of the material of the ball is: (take g = 10 m/s²)
A ball falling in a lake of 200 m shows a decrease of 0.1% in its volume. The bulk modulus of elasticity of the material of the ball is: (take g =10 m/s2)
A block weighing 40 kg extends a spring by 0.16m from its unscratched position. What is the value of k?
A body floats in a liquid contained in a beaker. The whole system, as shown, falls freely under gravity. The upthrust on the body due to the liquid is: