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Q.

Young's modulus of steel is 1.9 X 1011 N m-2. When expressed in CGS units of dyne/cm2, it will be equal to (IN = 105 dyne, 1m2 = 104 cm2)   [NCERT Exemplar]
 

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a

1.9 x 1011

b

1.9 x 1012

c

1.9 x 1010

d

1.9 x 1013

answer is C.

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Detailed Solution

Given, Young's modulus, Y = 1.9x 1011 Nm-2
            1 N = 105 dyne
Hence,      Y = 19 X 1011 x 105 dyne/m2
We know that, 1 m = 100 cm
                    Y = 19 X 1011 x 105 dyne/(100)2 cm2
                            =1.9x 1016 - 4 dyne/cm2
                        Y = 1.9 X 1012 dyne/cm2

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Young's modulus of steel is 1.9 X 1011 N m-2. When expressed in CGS units of dyne/cm2, it will be equal to (IN = 105 dyne, 1m2 = 104 cm2)   [NCERT Exemplar]