Question

If a cricket ball having mass of 200 g is thrown with a speed of \( 3 \times 10^{3} \text{ cm/s} \), then calculate the wavelength related to it.

• A. $2.2 \times 10^{-27} \text{ cm}$
• B. $1.104 \times 10^{-32} \text{ cm}$
• C. $1.104 \times 10^{-27} \text{ cm}$
• D. $1.104 \times 10^{-33} \text{ cm}$

Hint:

Macroscopic objects have wavelengths too small to be observed.

Answer 1

The Correct Option is B

Step 1: Concept
De-Broglie wavelength $\lambda = \frac{h}{mv}$.
Step 2: Analysis
Given: $m = 200 \text{ g}$, $v = 3 \times 10^{3} \text{ cm/s}$, $h = 6.624 \times 10^{-27} \text{ erg}\cdot\text{s}$. $\lambda = \frac{6.624 \times 10^{-27}}{200 \times 3 \times 10^{3}}$.
Step 3: Conclusion
$\lambda = 1.104 \times 10^{-32} \text{ cm}$.
Final Answer: (B)