MHT CET202124 Sep 2021Morning ShiftChemistrySolid StateActual
An element is found to crystallize with BCC structure having density 8.55 ~g ~cm ⁻³ . What is the edge length of unit cell? (At. mass of element =93 )
Options
- A(3.61 10⁻²³ )^ 1 / 3 ~cm
- B(3.91 10⁻²⁰ )^ 1 / 3 ~cm
- C(3.01 10⁻²²⁴ )^ 1 / 3 ~cm
- D(3.30 10⁻²⁰ )^ 1 / 3 ~cm
Correct answer
A. (3.61 10⁻²³ )^ 1 / 3 ~cm
Step-by-step solution
aligned & d = ZM N _ A a ^3 & a ^3= ZM d N _ A [ Z =2 for BCC ] & = 2 93 8.55 6 10²³ & =3.61 10⁻²³ & a = (3.61 10⁻²³ )^ 1 / 3 ~cm aligned