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Question: Young’s modulus of steel is 1.9 × 10<sup>11</sup> N m<sup>-2</sup>. When expressed in cgs units of d...

Young’s modulus of steel is 1.9 × 1011 N m-2. When expressed in cgs units of dynes cm-2, it will be equal to

(1 N = 105 dyne, 1 m2)

A

1.9 × 1010

B

1.9 × 1011

C

1.9 × 1012

D

1.9 × 1013

Answer

1.9 × 1012

Explanation

Solution

Y=1.9×1011 N/m2=1.9×1011(105 dyne 104 cm2)\mathrm { Y } = 1.9 \times 10 ^ { 11 } \mathrm {~N} / \mathrm { m } ^ { 2 } = 1.9 \times 10 ^ { 11 } \left( \frac { 10 ^ { 5 } \text { dyne } } { 10 ^ { 4 } \mathrm {~cm} ^ { 2 } } \right)

=1.9×1012dynescm−2= 1.9 \times 10^{12}dynescm^{- 2}