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Question
Young’s modulus of steel is 1.9 × 1011 N/m2. When expressed in CGS units of dynes/cm2, it will be equal to (1N = 105 dyne, 1m2 = 104 cm2)
Options
1.9 × 1010
1.9 × 1011
1.9 × 1012
1.9 × 1013
Solution
1.9 × 1012
Explanation:
According to the problem,
Young’s modulus, Y = 1.9 × 1011 N/m2
1N in SI system of units = 105 dyne in C.G.S system.
Hence, Y = 1.9 × 1011 × 105 dyne/m2,
In C.G.S. length is measured in the unit ‘cm’, so we should also convert m into cm.
∴ Y = `1.9 xx 10^11 ((10^5 "dyne")/(10^4 cm^2))` ......[∵ 1 m = 100 cm]
= 1.9 × 1012 dyne/cm2
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