| In the table given below, dimensions and angles of various crystals are given. Complete the table by filling the blanks. | |||
| Type of crystal | Dimensions | Angles | |
| 1. | Cubic | A=b=c | \[\alpha =\beta =\gamma \,\,=\,\,\underline{p}\] |
| 2. | Tetragonal | q | \[\alpha =\beta =\gamma =90{}^\circ \] |
| 3. | Orthorhombic | \[a\ne b\ne c\] | r |
| 4. | Hexagonal | s | \[\alpha =\beta ={{90}^{{}^\circ }},\gamma =\underset{\scriptscriptstyle-}{t}\] |
A)
p q r s t \[90{}^\circ \] \[a=b\ne c\] \[\alpha =\beta =\gamma =90{}^\circ \] \[a=b\ne c\] \[120{}^\circ \]
B)
p q r s t \[120{}^\circ \] \[a=b=c\] \[\alpha =90,\beta =\gamma ={{120}^{{}^\circ }}\] \[a\ne b\ne c\] \[90{}^\circ \]
C)
p q r s t \[90{}^\circ \] \[a\ne b=c\] \[\alpha =\beta =\gamma =120{}^\circ \] \[a\ne b\ne c\] \[90{}^\circ \]
D)
p q r s t \[120{}^\circ \] \[a\ne b\ne c\] \[\alpha \ne \beta \ne \gamma \ne 120{}^\circ \] \[a\ne b=c\] \[120{}^\circ \]
Correct Answer: A
Solution :
For cubic, \[a=b=c,\alpha =\beta =\gamma =90{}^\circ \] Tetragonal, \[a=b\ne c,\alpha =\beta =\gamma =90{}^\circ \] Orthorhombic, \[a\ne b\ne c,\alpha =\beta =\gamma =90{}^\circ \] Hexagonal, \[a=b\ne c,\alpha =\beta =90{}^\circ ,\gamma =120{}^\circ \]
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