Question

The relative density of a metal may be found by hanging a block of the metal from a spring balance and nothing that in air, the balance reads (5 .00 ± 0.05)N while in water, it reads (4.00 ± 0.05)N. The relative density would be quoted as ______.

Options

• 5.00 ± 0.05

• 5.00 ± 11%

• 5.00 ± 0.10

• 5.00 ± 6%

Answer 1

The relative density of a metal may be found by hanging a block of the metal from a spring balance and nothing that in air, the balance reads (5 .00 ± 0.05)N while in water, it reads (4.00 ± 0.05)N. The relative density would be quoted as 5.00 ± 11%.

Explanation:

Relative density = `"Weight in air"/"Loss of weight in water"`

P = `(5.00)/(1.00)`= 5.00

`"dP"/"P" = (0.05)/5.00 + 0.1/1.00 = 0.11` = 11%

P = 5.00 ± 11%