IIT JEE Main 2017 Physics Question 1 Set A:
A man grows into a giant such that his linear dimensions increase by a factor of 9. Assuming that his density remains same, the stress in the leg will change by a factor of:
Given in problem that the linear dimensions increase by a factor of 9 that is the length, width and height get multiplied by 9. However, it is also given that the densities remain the same.
thus, Final density = initial density
=> Final mass / Initial Mass = Final Volume / Initial Volume
=> Final mass / Initial Mass = 93
and Final area / Initial area = 92
As stress = force / area = Mass x g / area
hence Final stress/ Initial Stress = (Final Mass x g/ Final Area )(Initial Area/ (Initial Mass x g))
=> Final Stress / Initial Stress = (93/92)=9
Answer to IIT JEE Main 2017 Physics Question 1 Set A
Correct answer to given problem No 1 of IIT JEE Main Physics paper of 2017 Set A is option number (1) that is the stress in the leg will change by a factor of 9.