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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

19×105dynecm2

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B

19×1010dynecm2

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C

19×1012dynecm2

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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=MLT−2L2=ML−1T−2 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

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