Chapter 1, Problem 35GP

To determine

The total number of chips that can be produced.

Answer to Problem 35GP

Solution:

The numbers of chips that can be produced from entire cylinder are $3.3\times {10}^5$ .

Explanation of Solution

Given:

The thickness of a wafer is 0300 mm.

The length of the cylinder is 25 cm.

One wafer contains 400 chips.

Formula Used:

Total number of chips that can be produced from the cylinder = Number of chips on a single wafer × Number of wafers that can be cut

Number of wafers that can be cut $=\frac{\text{Length of the cylinder}}{\text{Thickness of a wafer}}$

Calculation:

The thickness of a wafer $=0.300\text{ mm}=3\times {10}^{-2}\text{ cm}$ .

  $\text{Length of cylinder}\text{=}\text{25}\text{cm}$

Number of wafers that can be cut $=\frac{25}{3\times {10}^{-2}}=\frac{25}{3}\times {10}^2$

Number of chips on a single wafer $=400$

Therefore, the total number of chips from the cylinder

  $\begin{array}{l}=\frac{25}{3}\times {10}^2\times 400\\ =\frac{25\times 4\times {10}^4}{3}\\ =\frac{1}{3}\times {10}^6\\ =3.3\times {10}^5\end{array}$

The numbers of chips that can be produced from entire cylinder are $3.3\times {10}^5$ .

Conclusion:

The numbers of chips that can be produced from entire cylinder are $3.3\times {10}^5$ .