The relative density of material of a body is found by weighting it first in air and then in water . If the weight in air is `( 5.00 +- 0.05) N` and the weight in water is `(4.00 +- 0.05) N`. Find the relative density along with the maximum permissible percentage error.
Text Solution
AI Generated Solution
To find the relative density of a material based on its weight in air and water, we can follow these steps:
### Step 1: Understand the formula for relative density
Relative density (RD) is defined as the ratio of the density of the material (ρ_object) to the density of water (ρ_water). Mathematically, it can be expressed as:
\[
RD = \frac{\rho_{\text{object}}}{\rho_{\text{water}}}
\]
However, we can also express it in terms of weights. The weight of the object in air (W) and the weight of the object in water (W') can be used to find the relative density:
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The relative density of a material of a body is found by weighing it first in air and then in water. If the weight of he body in air is W_(1) = 8.00 +- N and the weight in water is W_(2) = 6.00 +- 0.05 N , then the relative density rho_(r ) = W_(1)//( W_(1) - W_(2)) with the maximum permissible eror is
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