1
MCQ (Single Correct Answer)

JEE Main 2019 (Online) 10th January Evening Slot

A compound of formula A2B3 has the hcp lattice. Which atom forms the hcp lattice and what fraction of tetrahedral voids is occupied by the other atoms :
A
hcp lattice - A, $${1 \over 3}$$ Tetrahedral voids-B
B
hcp lattice - B, $${1 \over 3}$$ Tetrahedral voids - A
C
hcp lattice - A, $${2 \over 3}$$ Tetrahedral voids - B
D
hcp lattice - B, $${2 \over 3}$$ Tetrahedral voids - A

Explanation

A2B3 has HCP lattice

If A form HCP,
then $${{{3^{th}}} \over 4}$$ of THV must occupied by B to form A2B3

If B form HCP, then $${{{1^{th}}} \over 3}$$ of THV must occupied by A to form A2B3
2
MCQ (Single Correct Answer)

JEE Main 2019 (Online) 11th January Morning Slot

An example of solid sol is :
A
Butter
B
Hair cream
C
Gem stones
D
Paint

Explanation

An example of solid sol is gem stones.
3
MCQ (Single Correct Answer)

JEE Main 2019 (Online) 11th January Morning Slot

A solid having density of 9$$ \times $$103 kg m–3 forms face centred cubic crystals of edge length $$200\sqrt 2 $$ pm. What is the molar mass of the solid?
[Avogadro constant $$ \cong $$ 6 $$ \times $$ 1023 mol–1 , $$\pi $$ $$ \cong $$ 3]
A
0.0305 kg mol–1
B
0.4320 kg mol–1
C
0.0216 kg mol–1
D
0.0432 kg mol–1

Explanation

$$\rho $$ = $${{Z \times M} \over {{a^3} \times {N_A}}}$$

$$ \Rightarrow $$ 9$$ \times $$103 = $${{4 \times M} \over {\left( {200\sqrt 2 \times {{10}^{ - 12}}} \right) \times 6 \times {{10}^{23}}}}$$

$$ \Rightarrow $$ M = 0.0305 kg mol–1
4
MCQ (Single Correct Answer)

JEE Main 2019 (Online) 11th January Evening Slot

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')
A
0.134 a
B
0.067 a
C
0.047 a
D
0.027 a

Explanation

a = 2(R + r)

$$ \Rightarrow $$ $${a \over 2} = \left( {R + r} \right)$$ ......(1)

For bcc, $$\sqrt 3 a$$ = 4R

Using (i) and (ii)

$${a \over 2} = \left( {{{a\sqrt 3 } \over 4} + r} \right)$$

$$ \Rightarrow $$ r = $$a\left( {{{2 - \sqrt 3 } \over 4}} \right)$$

$$ \Rightarrow $$ r = 0.067 a

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