Question

The Debye temperatures ($\theta_D$) of diamond and copper are 2230 K and 343 K, respectivelyThe maximum value of the frequency of the atomic oscillations of diamond is Y times the maximum value of the frequency of the atomic oscillations of copperThe value of Y is _ _ _. (rounded off to two decimal places)

Hint:

Debye temperature is directly proportional to maximum vibrational frequencyHigher $\theta_D$ means stiffer lattice and higher frequency

Answer 1

Correct Answer: 6.5

Step 1: Link frequency to Debye temperature.
The largest oscillation frequency is proportional to the Debye temperature.

Step 2: Take the ratio.
\[ Y = \frac{2230}{343} \approx 6.50 \]

Step 3: Answer.
\[ \boxed{6.50} \]