How many significant figures are present in the following numbers?
| \((\mathrm{I})\) | \(25.12\) |
| \((\mathrm{II})\) | \(2009\) |
| \((\mathrm{III})\) | \(4.156\) |
| \((\mathrm{IV})\) | \(1.217 × 10⁻⁴\) |
Select the correct answer set from the following:
| 1. | \(\mathrm{(I)- 4, (II)- 3, (III)- 4, (IV) -4}\) |
| 2. | \(\mathrm{(I)- 4, (II)- 4, (III)-4, (IV)-4}\) |
| 3. | \(\mathrm{(I)-3, (II)-4, (III)-3, (IV)-3}\) |
| 4. | \(\mathrm{(I)-4, (II)-4, (III)-3, (IV)-3}\) |
In which of the following, the number of significant figures is different from that in the others?
| 1. | \(2.303~\text{kg}\) | 2. | \(12.23~\text{m}\) |
| 3. | \(0.002\times10^{5}~\text{m}\) | 4. | \(2.001\times10^{-3}~\text{kg}\) |
The mass and volume of a body are \(4.237~\text{g }\) and \(2.5~\text{cm}^3,\) respectively. The density of the material of the body in correct significant figures will be:
1. \(1.6048~\text{g cm}^{-3}\)
2. \(1.69~\text{g cm}^{-3}\)
3. \(1.7~\text{g cm}^{-3}\)
4. \(1.695~\text{g cm}^{-3}\)
Which of the following measurements is the most precise?
1. 5.00 mm
2. 5.00 cm
3. 5.00 m
4. 5.00 km
If \(97.52\) is divided by \(2.54\), the correct result in terms of significant figures is:
| 1. | \( 38.4 \) | 2. | \(38.3937 \) |
| 3. | \( 38.394 \) | 4. | \(38.39\) |
A thin wire has a length of \(21.7~\text{cm}\) and a radius of \(0.46~\text{mm}\). The volume of the wire to correct significant figures is:
| 1. | \( 0.15~ \text{cm}^3 \) | 2. | \( 0.1443~ \text{cm}^3 \) |
| 3. | \( 0.14~ \text{cm}^3 \) | 4. | \( 0.144 ~\text{cm}^3\) |
| 1. | \(0.0500\) | 2. | \(0.05000\) |
| 3. | \(0.0050\) | 4. | \(5.0 \times 10^{-2}\) |
| 1. | \(9.98~\text{m}\) | 2. | \(9.980~\text{m}\) |
| 3. | \(9.9~\text{m}\) | 4. | \(9.9801~\text{m}\) |
The numbers \(2.745\) and \(2.735\) on rounding off to \(3\) significant figures will give respectively,
| 1. | \(2.75\) and \(2.74\) | 2. | \(2.74\) and \(2.73\) |
| 3. | \(2.75\) and \(2.73\) | 4. | \(2.74\) and \(2.74\) |