1. Identify the forces on the block

A block is pressed horizontally against a vertical wall by a force of $10\,\text{N}$.

• Horizontal applied force: $10\,\text{N}$ toward the wall
• Normal reaction from wall: $N$
• Friction force: acts vertically upward to prevent the block from sliding down
• Weight of block: $W$ downward

2. Find the normal reaction

Since the block is stationary in the horizontal direction,

$N = 10\,\text{N}$

3. Use limiting friction condition

The force is said to be just sufficient to hold the block stationary, so friction is at its maximum value:

$f_{\max} = \mu N$

Given:

$\mu = 0.2, \quad N = 10\,\text{N}$

So,

$f_{\max} = 0.2 \times 10 = 2\,\text{N}$

4. Balance vertical forces

For the block to remain at rest,

$f = W$

At the limiting condition,

$W = 2\,\text{N}$

5. Conclusion

The weight of the block is

$\boxed{2\,\text{N}}$

So the correct option is D.