WBJEE · Chemistry · Solid State
In a close-packed body-centred cubic lattice of potassium, the correct relation between the atomic radius \((r)\) of potassium and the edge-length of the cube is
- A \(r=\frac{a}{\sqrt{2}}\)
- B \(r=\frac{a}{\sqrt{3}}\)
- C \(r=\frac{\sqrt{3}}{2} a\)
- D \(r=\frac{\sqrt{3}}{4} a\)
Answer & Solution
Correct Answer
(D) \(r=\frac{\sqrt{3}}{4} a\)
Step-by-step Solution
Detailed explanation
\(\because\) For be packing, \(\sqrt{3} a=4 r \therefore r=\frac{\sqrt{3}}{4} \cdot a\) where \(a=\) edge length \(r=\) radius of lattice sphere
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Chemistry
-
The correct order of \(\mathrm{C}=\mathrm{O}\) bond length in ethyl propanoate (I), ethyl propenoate (II) and ethenyl propanoate (III) isWBJEE 2023 Medium - The white precipitate \((Y)\), obtained on passing colourless and odourless gas \((X)\) through an ammoniacal solution of \(\mathrm{NaCl}\), loses about \(37 \%\) of its weight on heating and a white residue \((\mathrm{Z})\) of basic nature is left. Identify \((\mathrm{X}),(\mathrm{Y})\) and \((\mathrm{Z})\) from following sets.WBJEE 2021 Medium
- Baeyer's reagent isWBJEE 2013 Easy
- Metallic conductors and semiconductors are heated separately. What are the changes with respect to conductivity?WBJEE 2024 Easy
- Which of the following has the strongest H-bond?WBJEE 2018 Easy
- Ozonolysis of o-xylene produces
WBJEE 2024 Hard
More PYQs from WBJEE
- The line \(y-\sqrt{3} x+3=0\) cuts the parabola \(y^2=x+2\) at the points \(P\) and \(Q\). If the co-ordinates of the point \(X\) are \((\sqrt{3}, 0)\), then the value of \(X P \cdot X Q\) isWBJEE 2025 Medium
- \(\int \frac{\log \sqrt{\mathrm{x}}}{3 \mathrm{x}} \mathrm{dx}\) is equal toWBJEE 2010 Easy
- The stopping potential for photoelectrons from a metal surface is \(V_{1}\) when monochromatic light of frequency \(v_1\) is incident on it. The stopping potential becomes \(V_{2}\) when monochromatic light of another frequency is incident on the same metal surface. If \(h\) be the Planck's constant and \(e\) be the charge of an electron, then the frequency of light in the second case isWBJEE 2013 Easy
- The minimum value of \(2^{\sin x}+2^{\cos x}\) isWBJEE 2014 Medium
- If \(p=\left(\begin{array}{cc}\cos \frac{\pi}{4} & -\sin \frac{\pi}{4} \\ \sin \frac{\pi}{4} & \cos \frac{\pi}{4}\end{array}\right)\) and \(X=\left(\begin{array}{c}\frac{1}{\sqrt{2}} \\ \frac{1}{\sqrt{2}}\end{array}\right)\). Then,
\(P^{3} X\) is equal toWBJEE 2013 Medium - In Young's double slit experiment the two slits are d distance apart. Interference pattern is observed on a screen at a distance D from the slits. A dark fringe is observed on the screen directly opposite to one of the slits. The wavelength of light isWBJEE 2011 Medium