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Question

18.72 g of a substance 'X' occupies 1.81 cm3. What will be its density measured in correct significant figures?

A
10.3 g cm3
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B
10.34 g cm3
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C
10.4 g cm3
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D
10.3425 g cm3
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Solution

The correct option is A 10.3 g cm3
Density is mass per unit volume of the substance

Density, ρ=mass (m)Volume (V)

Given :m=18.72 g and V=1.81 cm3

on substituting we get:

ρ=18.721.81=10.3425

Rule: Answer to a multiplication or division should be rounded off to the same number of significant figures as possessed by the least precise term in the calculation.
least precise is 1.81 with 3 significant figures thus, the answer will also posses 3 significant figures as 10.3 g cm3

Hence, the correct option is A

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