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CGP EDU Academic Team
Published on: September 12, 2026
When determining the specific gravity of a solid body with the help of hydrostatic scales, the body is first weighed in air (on ordinary scales) and then when immersed in water. How must this method be altered if the body's specific gravity is less than unity?
Text Solution
Verified by ExpertsThe correct answer is:
A
Step 1: When measuring specific gravity of solids, we usually weigh the solid in air to find its weight (Wair) and then weigh it immersed in water (Wwater). The specific gravity (SG) is calculated using the formula:
SG = \frac{W_{air}}{W_{air} - W_{water}}
Step 2: If the specific gravity of the solid is less than unity (i.e., the solid is less dense than water), it will float when submerged in water.
Step 3: To accurately determine the specific gravity, a modification is required. Instead of weighing it directly in water, which would give a negative reading (not applicable), we should use a buoyancy method or a container to hold the body submerged without allowing it to float. This might include:
Conclusion: The method must be altered by ensuring that the body is held submerged to get an accurate weight in water, or by employing a different technique such as measuring displacement.
SG = \frac{W_{air}}{W_{air} - W_{water}}
Step 2: If the specific gravity of the solid is less than unity (i.e., the solid is less dense than water), it will float when submerged in water.
Step 3: To accurately determine the specific gravity, a modification is required. Instead of weighing it directly in water, which would give a negative reading (not applicable), we should use a buoyancy method or a container to hold the body submerged without allowing it to float. This might include:
- Using a scale that can be submersible or utilizing a holder that allows for weight measurement while maintaining the solid beneath the water’s surface.
- Alternatively, we could weigh the body in air and then use a different method like Archimedes’ principle to measure the volume of water displaced, thus giving us the buoyant force that can be used to indirectly calculate the weight in water.
Conclusion: The method must be altered by ensuring that the body is held submerged to get an accurate weight in water, or by employing a different technique such as measuring displacement.
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