Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app

JEE Main 20172 April

Exam: JEE Main
Year: 2017
Date: 2 April
Subject: Physics
Chapter: Mechanical Properties of Solids

JEE Main 2017 · 2 April · Physics · Mechanical Properties of Solids

A man grows into a giant such that his linear dimensions increase...

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:

Options

A $\dfrac{1}{81}$
B $9$
C $\dfrac{1}{9}$
D $81$

Correct answer

B. $9$

Step-by-step solution

Stress

= \dfrac{F}{A} = \dfrac{Mg}{A}

= \dfrac{ρ\left(Volume\right) . g}{A}

= \dfrac{ρ\left({9}^{3}{x}^{3}\right)g}{{9}^{2}{x}^{2}}

= 9times

Practice Mechanical Properties of Solids on Quantrex Academy →

More from Mechanical Properties of Solids

Figure represents the extension ( Δ l ) of a wire of length 1 meter, suspended from the… JEE Main 2026 A lift of mass 1600 kg is supported by thick iron wire. If the maximum stress which the… JEE Main 2026 The two wires A and B of equal cross-section but of different materials are joined… JEE Main 2026 A copper wire of length 3 m is stretched by 3 mm by applying an external force. The… JEE Main 2026 The Young's modulus of steel wire of radius r and length L is Y . If the radius r and… JEE Main 2026 Two wires as shown in the figure below, made of steel and have breaking stress of 12 ×… JEE Main 2026 A cube has side length 5 cm and modulus of rigidity 10^5 N/m ^2 . The displacement… JEE Main 2026 A metal string A is suspended from a rigid support and its free end is attached to a… JEE Main 2026 Full Mechanical Properties of Solids list All JEE Main PYQs