Atomic Structure Question 407
Question: If the de-Broglie wavelength of a particle mass m is 100 times its velocity, then its value in terms of its mass (m) and Planck’s constant (h) is
Options:
A) $ \frac{1}{10}\sqrt{\frac{m}{h}} $
B) $ 10\sqrt{\frac{h}{m}} $
C) $ \frac{1}{10}\sqrt{\frac{h}{m}} $
D) $ 10\sqrt{\frac{m}{h}} $
Show Answer
Answer:
Correct Answer: B
Solution:
- Let wavelength of particle be x So, velocity $ ( v )=\frac{x}{100} $
$ \lambda =\frac{h}{mv};,x=\frac{h\times 100}{m\times x} $
$ x^{2}=100\frac{h}{m} $ or $ x=10\sqrt{\frac{h}{m}} $
