During blood transfusion the needle is inserted in a vein where gauge pressure is `p_(g)` and atmospheric pressure is p. At what height must the blood container be placed so that blood may just enter the vein. Given density of blood is p.

Explanation

To solve the problem of determining the height at which the blood container must be placed for blood to enter the vein during a transfusion, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Pressure Conditions**:
- The gauge pressure in the vein is denoted as \( p_g \).
- The atmospheric pressure is denoted as \( p \).
- The total pressure at the level of the vein must be equal to the pressure exerted by the blood column from the container.
...