Verified Solution • 2025–26 Session moderate

QJEEM19Chef17: JEE Main 2019 Chemistry - Class 12 JEEM19Chef17 Solution: The radius of the largest sphere which fits properly at the…

The radius of the largest sphere which fits properly at the centre of the edge of a body centred cubic unit cell is : (Edge length is represented by 'a')

Multiple Choice Options

  • A 0.134 a
  • B 0.067 a
  • C 0.047 a
  • D 0.027 a

Step-by-Step Verified Solution

a = 2(R + r)

⇒ a2=(R+r) ......(1)

For bcc, 3a = 4R

Using (i) and (ii)

a2=(a34+r)

⇒ r = a(2−34)

⇒ r = 0.067 a

Related Learning Resources & Exam Preparation

JEE Main PYQ Question Bank
Browse year-wise authentic previous years' questions with solutions
Authentic CBT Mock Tests
Simulate official exam environment with live timer and percentile scoring