Question

Young's modulus of steel is 19×10^10N/m^2.what is it's value in dyne/cm^2= ?
A) 19×10^10
B) 19×10^11
C) 19×10^15
D) 19×10^19

Answer 1

Answer:

option c

Explanation:

1 N= 10^5 dynegy

so 19×10^10N=19×10^15 dyne

Answer 2

Answer:

1 N = 10^5 dynes

This can be found out by writing down the dimesions of force and then convertng each of those fundamental units into their corresponding fundamental cgs units.

That is since we know that

1 N = (1kg)(1m)/1s^2

Because

[FORCE] = MLT^-2

Now, 1kg = 10^3 grams and 1 m = 10^2 cm and 1 second = 1 second in cgs too.

Therefore, 1 Newton (N) = 10^5 dynes

and

1 m = 10^2 cm

So,

1 m^2 = 10^4 cm^2

So,

Y = 19*10^10 N/m^2 = 19*10^10*10^5 dynes/10^4 cm^2 = 19*10^11 dynes/cm^2

Option B is correct

Hope this helps you !