Physics · 2021
JEE Main · 25 July 2021, Shift 1 · Q18
Two wires of same length and radius are joined end to end and loaded. The Young's modulii of the materials of the two wires are Y_1 and Y_2. The…
Two wires of same length and radius are joined end to end and loaded. The Young's modulii of the materials of the two wires are $\displaystyle Y_1$ and $\displaystyle Y_2$. The combination behaves as a single wire then its Young's modulus is :
Official answer
(3)
$\displaystyle Y=\frac{2 Y_1 Y_2}{Y_1+Y_2}$
More from Mechanical Properties of Solids
- The length of a light string is 1.4 m when the tension on it is 5 N. If the tension increases to 7 N, the length of the string is 1.56 m. The…2025
- Two slabs with square cross section of different materials (1,2) with equal sides (l) and thickness d_1 and d_2 such that d_2=2 d_1 and l>d_2.…2025
- A massless spring gets elongated by amount x_1 under a tension of 5 N. Its elongation is x_2 under the tension of 7 N. For the elongation of (5 x_1-2…2025
- A metal block of mass m is suspended from a rigid support through a metal wire of diameter 14 mm. The tensile stress developed in the wire under…2023
- A uniform metallic wire is elongated by 0.04 m when subjected to a linear force F. The elongation, if its length and diameter is doubled and…2021
- With rise in temperature, the Young's modulus of elasticity:2024
- A string of area of cross-section 4 mm^2 and length 0.5 m is connected with a rigid body of mass 2 kg. The body is rotated in a vertical circular…2022
- A wire of length L and radius r is clamped rigidly at one end. When the other end of the wire is pulled by a force F, its length increases by 5 cm.…2022
JEE Main 2021 Physics question, with the answer from NTA’s final answer key. Where our answers come from.