Question:
Copper crystallises in a face-centred cubic lattice with a unit cell length of \(361\) pm. What is the radius of copper atom in pm?
Copper crystallises in a face-centred cubic lattice with a unit cell length of \(361\) pm. What is the radius of copper atom in pm?
Show Hint
In an fcc lattice the atoms touch along the face diagonal, so r = a / (2 sqrt 2).
Updated On: Nov 12, 2026
- \(157.6\)
- \(181.5\)
- \(108.4\)
- \(127.6\)
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: Understanding the Concept
In fcc the atoms touch along the face diagonal, which has length \(\sqrt{2}\,a=4r\).
Step 2: Formula
\(r=\dfrac{a}{2\sqrt{2}}\)
Step 3: Calculation
\(r=\dfrac{361}{2\times 1.414}=\dfrac{361}{2.828}=127.6\) pm
Step 4: Compare the options
This matches option (D).
Final Answer:
The radius of a copper atom is 127.6 pm. \[ \boxed{\text{(D) }127.6} \]
In fcc the atoms touch along the face diagonal, which has length \(\sqrt{2}\,a=4r\).
Step 2: Formula
\(r=\dfrac{a}{2\sqrt{2}}\)
Step 3: Calculation
\(r=\dfrac{361}{2\times 1.414}=\dfrac{361}{2.828}=127.6\) pm
Step 4: Compare the options
This matches option (D).
Final Answer:
The radius of a copper atom is 127.6 pm. \[ \boxed{\text{(D) }127.6} \]
Was this answer helpful?
0
0
Top MHT CET Chemistry Questions
- The temperature of $32^{\circ}C$ is equivalent to
- The heat of formation of water is $ 260\, kJ $ . How much $ H_2O $ is decomposed by $ 130\, kJ $ of heat ?
- If a metal crystallises in bcc structure with edge length of unit cell $4.29 \times 10^{-8}\, cm$ the radius of metal atom is
- Which of the following oxides can act both as an oxidising agent as well as reducing agent ?
- "The mass and energy both are conserved in an isolated system", is the statement of
View More Questions
Top MHT CET Unit Cells Questions
- If a metal crystallises in bcc structure with edge length of unit cell $4.29 \times 10^{-8}\, cm$ the radius of metal atom is
- What is the coordination number in a Hexagonal Close-Packed (hcp) structure?
- The density of a face-centered cubic (FCC) crystal is:
If the total volume of a simple cubic unit cell is 6.817 × 10-23 cm3, what is the volume occupied by particles in the unit cell?
- Find the radius of a BCC molecule having an edge length of \( 2.0 \times 10^{-11} \) m.
View More Questions
Top MHT CET Questions
- During r- DNA technology, which one of the following enzymes is used for cleaving DNA molecule ?
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- The temperature of $32^{\circ}C$ is equivalent to
- The line $5x + y - 1 = 0$ coincides with one of the lines given by $5x^2 + xy - kx - 2y + 2 = 0 $ then the value of k is
- The heat of formation of water is $ 260\, kJ $ . How much $ H_2O $ is decomposed by $ 130\, kJ $ of heat ?
View More Questions