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Chapter 40: Q. 7 (page 1175)

Show that the penetration distance 畏has units of m.

Short Answer

Expert verified

The penetration distance 畏has units of mis given below in step.

Step by step solution

01

Given Information

We need to find the penetration distance 畏has units of m.

02

Explanation

The equation of penetration distance is given as:

畏=h2mU0-E

The unit of role="math" localid="1650172801611" his J.s. Its dimension can be h=M脳L2脳T-1.

The unit of mis kg, so dimension is m=M.

The unit of U0-Eis J, then dimension is U0-E=M脳L2脳T-2

Therefore, the dimension of 畏is:

h=M脳L2脳T-1M脳L2脳T-2=M脳L2脳T-1M脳L脳T-1=L

Then, 畏has the dimension of length. So its unit ism.

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