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Q.

Match the following

Table – I Table – II

a) Stress × strain e) J

b) YA/l f) N/m

c) Yl³ g) J/m³

d) Fl/AY h) m

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a

a–g; b–e; c–h; d–f

b

a–g; b–f; c–e; d–h

c

a–f; b–e; c–g; d–h

d

a–g; b–e; c–f; d–h

answer is C.

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Detailed Solution

Y → N/m²
A → m²
l → m
Stress → N/m²
Strain → Dimensionless
$\large \therefore \frac {YA}{l}=\frac {\frac {N}{m^2}\times m^2}{m}=N/m$
$\large Yl^3=(N/m^2)\times m^3=N-m=J$
$\large \frac {Fl}{AY}=\frac {N-m}{m^2\times N/m^2}=m$
stress x strain = N/m² = N-m/m³ = J/m³

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