A) 5.0 \[\pm \]11%
B) 5.0 \[\pm \]1%
C) 5.0 \[\pm \]6%
D) 1.25 \[\pm \]5%
Correct Answer: A
Solution :
Weight in air \[=(5.00\pm 0.05)\,N\] Weight in water\[=(4.00\pm 0.05)\,N\] Loss of weight in water \[=(1.00\pm 0.1)\,N\] Now relative density \[=\frac{\text{weight}\,\text{in}\,\text{air }}{\text{weight }\text{loss in water}}\] i.e. R . D\[=\frac{5.00\pm 0.05}{1.00\pm 0.1}\] Now relative density with max permissible error \[=\frac{5.00}{1.00}\pm \left( \frac{0.05}{5.00}+\frac{0.1}{1.00} \right)\times 100\]\[=5.0\pm (1+10)%\] \[=5.0\pm 11%\]
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