Ncert Exercises & Solutions

The mass and volume of a body are \(4.237~\mathrm{g}\) and \(2.5~\mathrm{cm^3}\), respectively. The density of the material of the body in correct significant figures will be:
1. \(1.6048~\mathrm{g~cm^{-3}}\)
2. \(1.69~\mathrm{g~cm^{-3}}\)
3. \(1.7~\mathrm{g~cm^{-3}}\)
4. \(1.695~\mathrm{g~cm^{-3}}\)

Hint: No. of significant figures in result = 2

Step 1: Find the density of the body.

In this question, density should be reported to two significant figures.

Density = \frac{4 .237 g}{2 .5 {cm}^{3}} = 1 .6948

{cm}^{- 3}

Step 2: Round off the value to appropriate significant figures.
The result should have as many significant figures as there are in the value with the least significant figures.

As rounding off the number, we get density = 1.7 g

{cm}^{- 3}

Therefore, the density of the material is \(1.7~\mathrm{g~cm^{-3}}\).
Hence, option (3) is the correct answer.

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