Question

The model of a chip is scaled at 50:1. If the length of the model of the microchip is 0.5 mm, then how many microchips can be arranged in a line on a 1 m long board?

• A. 60
• B. 50
• C. 40
• D. 45

Answer 1

The correct option is C 40

Given,
Scale of the model of the chip is 50:1.

We know that,
$\text{Scaled length}\left(x\right)\propto \text{Actual length}\left(y\right)$
$\therefore \frac{x_1}{y_1}=\frac{x_2}{y_2}$

Given,
$x_1=50$
$y_1=1$
$y_2=0.5mm$
$\text{and}{x}_2=\text{actual length}$
$\Rightarrow x_2=\frac{x_1\times y_2}{y_1}$
$\Rightarrow x_2=\frac{50\times 0.5}{1}=25mm$
Therefore, the actual length of one chip is 25 mm or 2.5 cm.

$\text{So, the number of chips that can be}\text{arranged on a 1 meter (100 cm) long}\text{board in a line}=\frac{100cm}{2.5cm}=40$