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
Answers
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: