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Question

Young's modulus of steel is 19×1010Nm2. Express it in dynecm2. Here dyne is the CGS unit of force.



A

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B

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C

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D

None of these

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Solution

The correct option is D

None of these


The unit of young's modulus is Nm2.

This suggests that it has dimensions of (Force(distance)2)

Thus, [Y]=[F]L2=MLT2L2=ML1T2

1Nm2is in SI units.

So, 1Nm2=(1kg)(1m)1(1s)2

And 1dynecm2=(1gm)(1cm)1(1s)2

So, 1Nm21dynecm2=(1kg1g)(1m1cm)1(1s1s)2

= 1000×1100×1 = 10

or,    1Nm2 = 10dynecm2

or,     19×1010Nm2=19×1011dynecm2


Physics

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