Question

young's modulus of steel is 19×10^10N/m^2 . Express it in dyne/cm^2 . Here dyne is the C.G.S unit of force​

Answer 1

Answer:The unit Young's modulus is  

N

m2

 

. This suggests that it has dimensions of Forc

e

(distance)2

 

Thus, [Y]=

F

L2

 

=

MLT-2

L2

 

=ML-1T-2. ltbr.  

N

m2

 

is in SI units.

So, 1

N

m2

 

=(1kg)(1m)-1(1s)-2

and 1dy

≠

c

 

m2=(1g)(1cm)-1(1s)-2

so,  

1

N

m2

 

1dy

≠

c

 

m2

 

=

1kg

1g

 

1m

(1cm)_

 

1(

1s

(1s)-2

 

 

=1000×

1

100

 

×1=10

or, 1

N

m2

 

=10dy

≠

c

 

m2

or,19×1010

N

m2

 

=19×1011dy

≠

c

 

m2.The unit Young's modulus is  

N

m2

 

. This suggests that it has dimensions of Forc

e

(distance)2

 

Thus, [Y]=

F

L2

 

=

MLT-2

L2

 

=ML-1T-2. ltbr.  

N

m2

 

is in SI units.

So, 1

N

m2

 

=(1kg)(1m)-1(1s)-2

and 1dy

≠

c

 

m2=(1g)(1cm)-1(1s)-2

so,  

1

N

m2

 

1dy

≠

c

 

m2

 

=

1kg

1g

 

1m

(1cm)_

 

1(

1s

(1s)-2

 

 

=1000×

1

100

 

×1=10

or, 1

N

m2

 

=10dy

≠

c

 

m2

or,19×1010

N

m2

 

=19×1011dy

≠

c

 

m2.

Explanation: