JEE Main 202118 MarchMorning Shift

Exam: JEE Main
Year: 2021
Date: 18 March
Shift: Morning Shift
Subject: Physics
Chapter: Mechanical Properties of Solids

JEE Main 2021 · 18 March · Morning Shift · Physics · Mechanical Properties of Solids

Two separate wires A and B are stretched by 2mm and 4mm...

Two separate wires

A

and

B

are stretched by

2mm

and

4mm

respectively, when they are subjected to a force of

2N .

Assume that both the wires are made up of same material and the radius of wire

B

4

times that of the radius of wire

A .

The length of the wires

A

and

B

are in the ratio of

a: b .

Then

\dfrac{a}{b}

can be expressed as

\dfrac{1}{x}

, where

x

is _____.

Correct answer

Step-by-step solution

For $A\dfrac{E}{\pi{r}^{2}} = y\dfrac{2mm}{a} . . . \left(1\right)$
For $B$ $\dfrac{E}{\pi \cdot 16{r}^{2}} = y\dfrac{4mm}{b} . . . \left(2\right)$
$∴ ( 1 ) / ( 2 )$
$16 = \dfrac{2b}{4a}$

$\dfrac{a}{b} = \dfrac{1}{32}$
$∴$ $= 32$

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