Chapter 6.6, Problem 22HP

To determine

To identify: The scale, out of given four different scales, that does not have the same scale factor as of others.

Answer to Problem 22HP

The scale $10cm=10m$ does not have the same scale factor that of other scales given.

Explanation of Solution

Given information: 

The following scales are given:

  

Concept used:

Both units of each scale will be made same by using following conversion formula first and then their scale factors will be calculated of each scale:

1 meter $=100$ cm

1 cm $=10$ mm

And 1m $=1000$ mm Conclusion: So, for first scale: 5cm $=100$ cm

So its scale factor $\frac{100}{5}=20$

So, for second scale: 10 mm $=20\times 10=200$ mm

So its scale factor $\frac{200}{10}=20$

So, for third scale: 10cm $=10\times 100=1000$ cm

So its scale factor $\frac{1000}{10}=100$

So, for first scale: 25 mm $=0.5\times 1000=500$ mm

So its scale factor $=\frac{500}{25}=20$

Clearly scale factor 10 cm $=10$ m has the scale factor that is not same as of other scales given.