a substance breaks down by a stress of 10^6 N/M^2. if the density of the material of the wire is 3*10^3  kg/m^3, the lenght of the wire of that substance which will break under its own weight , when suspended vertically

 

Answers (1)

Stress = F/A = {(M?g) / A}  ................(1)

? density = [{mass} / {volume}]

ρ = {M / (A ? L)} i.e. M = ρAL

∴ from (1)

Stress = {(ρAL ? g) / A}

Stress = ρ ? L ? g

Given : stress = 106 N/m2 

ρ = 3 × 103 kg/m3 

Hence 106 = 3 × 103 × L × 10

∴ {106 / (3 × 104)} = L

∴ L = (100 / 3)

L = 33.3 m   

Preparation Products

Knockout JEE Main April 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
Buy Now
Knockout JEE Main May 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
Buy Now
Test Series JEE Main May 2021

Unlimited Chapter Wise Tests, Unlimited Subject Wise Tests, Unlimited Full Mock Tests, Get Personalized Performance Analysis Report,.

₹ 6999/- ₹ 2999/-
Buy Now
Knockout JEE Main May 2022

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 34999/- ₹ 14999/-
Buy Now
JEE Main Rank Booster 2021

Booster and Kadha Video Lectures, Unlimited Full Mock Test, Adaptive Time Table, 24x7 Doubt Chat Support,.

₹ 13999/- ₹ 6999/-
Buy Now
Boost your Preparation for JEE Main 2021 with Personlized Coaching
 
Exams
Articles
Questions