CBSE Class 11-science Answered
Hello Mam
Define Young’s Modulus of elasticity. How much force is required to have an increase of 0.4% in the length of a metallic wire having a radius of 0.2mm. Y = 9.1 x 1010 Nm^–2
Please solve this sum
Asked by seeni2005 | 11 Jan, 2021, 09:11: PM
Expert Answer
The ratio of tensile (or compressive)stress (σ) to the longitudinal strain (ε ) is defined asYoung’s modulus
and is denoted by the symbol Y.
Y = σ / ε ........................ (1)
Tensile stress σ is tensile force F per crosssection area A .
σ = ( F / A ) ......................... (2)
Longitudinal strain ε is ratio of change in length ΔL to initial length L .
ε = (ΔL/L) ........................ (3)
Hence we get Young's modulus Y as
Y = (F/A)/(ΔL/L)= (F × L) /(A × ΔL) ........................ (4)
--------------------------------------------------------------
Required force F to get 0.4% change in length of metallic wire of radius 0.2 mm is determined from eqn.(4)
F = Y × A × ( ΔL / L )
crosssection area = π r2 = π × 0.2 × 0.2 × 10-6 = 1.257 × 10-7 m2
If change in length is 0.4 % , then ( ΔL / L ) = 0.004 = 4 × 10-3
F = 9.1 × 1010 × 1.257 × 10-7 × 4 × 10-3 = 45.75 N
Answered by Thiyagarajan K | 11 Jan, 2021, 10:06: PM
CBSE 11-science - Physics
Asked by sheikhsaadat24 | 17 Apr, 2024, 09:41: PM
ANSWERED BY EXPERTCBSE 11-science - Physics
Asked by sy123946 | 07 Apr, 2024, 04:23: PM
ANSWERED BY EXPERTCBSE 11-science - Physics
Asked by derhebha955 | 03 Apr, 2024, 09:03: AM
ANSWERED BY EXPERTCBSE 11-science - Physics
Asked by sumedhasingh238 | 29 Mar, 2024, 05:15: PM
ANSWERED BY EXPERTCBSE 11-science - Physics
Asked by sumedhasingh238 | 28 Mar, 2024, 11:10: PM
ANSWERED BY EXPERTCBSE 11-science - Physics
Asked by roshnibudhrani88 | 23 Mar, 2024, 05:52: PM
ANSWERED BY EXPERTCBSE 11-science - Physics
Asked by emad.amd | 21 Mar, 2024, 12:00: PM
ANSWERED BY EXPERTCBSE 11-science - Physics
Asked by vinitdubey7735 | 14 Mar, 2024, 11:21: AM
ANSWERED BY EXPERTCBSE 11-science - Physics
Asked by om636694 | 04 Mar, 2024, 09:10: PM
ANSWERED BY EXPERTCBSE 11-science - Physics
Asked by rajuinwati12 | 04 Mar, 2024, 09:22: AM
ANSWERED BY EXPERT
