The lattice parameters of a given crystal are `a = 5.62 Å , b = 7.41 Å and c= 9.48Å`. The three cordinate axes are mutually perpendicular to each other. The crystal is:

Options

A. tetragonal
B. orthorhombic
C. monoclinic
D. trigonal

Explanation

To determine the type of crystal based on the given lattice parameters and the angles between the coordinate axes, we can follow these steps:

### Step 1: Identify the Lattice Parameters
The lattice parameters given are:
- \( a = 5.62 \, \text{Å} \)
- \( b = 7.41 \, \text{Å} \)
- \( c = 9.48 \, \text{Å} \)

### Step 2: Check the Angles Between Axes
The problem states that the three coordinate axes are mutually perpendicular to each other. This means:
- \( \alpha = 90^\circ \)
- \( \beta = 90^\circ \)
- \( \gamma = 90^\circ \)

### Step 3: Determine the Relationship Between Lattice Parameters
We need to check the relationships between the lattice parameters \( a \), \( b \), and \( c \):
- We see that \( a \neq b \neq c \) because:
- \( a = 5.62 \, \text{Å} \)
- \( b = 7.41 \, \text{Å} \)
- \( c = 9.48 \, \text{Å} \)

### Step 4: Identify the Crystal System
Based on the conditions:
- The angles \( \alpha, \beta, \gamma \) are all \( 90^\circ \).
- The lengths \( a, b, c \) are not equal.

This combination of conditions corresponds to the **orthorhombic** crystal system.

### Conclusion
Thus, the crystal is **orthorhombic**.