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Dilation in Math- Meaning, Scale Factor, Properties, and Examples

CBSE Extra Questions ... Dilation. Dilation is a process of changing the size of an object or shape by decreasing or increasing its dimensions by some scaling factors. ... This transformation is expressed by the termscale factor.” ... In the above figure, we can see, the triangle ACB is transformed into a bigger triangle, i.e., ...

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Guru Nanak

Given that

Size of range the nucleus = 10^{-15} \text{ to } 10^{-14} m

Tip of the pin = 10^{-5} \text{ to } 10^{-4}   m

Actual size of the nucleus = 10^{-10} m

Imaginary figure:

Step 1: Calculating the scaling factor of the nucleus

\text{ Scaling factor }=\frac{\text{ New size of the nucleus }}{\text{ Original size of nucleus }}  

= \frac{10^{-5}}{10^{-15}}   

= 10^{10}   

Hence, scaling up by a factor of = 10^{10}   m

Step 2: Finding the nucleus's approximate size?

\text{ approximate size } = \text{ scale factor * Actual size }

\text{ approximate size } = 10^{-10}* 10^{10}

\text{ approximate size } = 1

Hence, nucleus's approximate size 1 m