The mass and volume of a body are 4.237 g and 2.5 cm3, respectively. The density of the material of the body in correct significant figures is

The correct option is 1.7 g cm^-3.

Step-by-step Explanation:

1. Identify the given values and their significant figures:
- Mass of the body, $m=4.237\text{g}$ (This value has 4 significant figures).
- Volume of the body, $V=2.5{\text{cm}}^3$ (This value has 2 significant figures).

2. Calculate the density:
Density ($d$) is defined as mass per unit volume:
$d=\frac{m}{V}$

Substituting the given values:
$d=\frac{4.237}{2.5}=1.6948{\text{g cm}}^{-3}$

3. Apply the rules of significant figures for division:
When multiplying or dividing numbers, the final result must be rounded off to have the same number of significant figures as the measurement with the fewest significant figures.
- Here, the mass has 4 significant figures and the volume has 2 significant figures.
- Therefore, the final density must be rounded off to 2 significant figures.

4. Round off the calculated value:
The calculated density is $1.6948{\text{g cm}}^{-3}$.
To round this to 2 significant figures (the tenths place):
- Look at the digit in the hundredths place, which is 9.
- Since 9 is greater than or equal to 5, we round up the preceding digit (6) by 1.
- Thus, $1.6948$ rounds to $1.7$.

Therefore, the density of the material in correct significant figures is 1.7 g cm^-3.