A thin wire has a length of \(21.7~\mathrm{cm}\) and a radius of \(0.46~\mathrm{mm}\). The volume of the wire to correct significant figures is:
1. | \( 0.15 \mathrm{~cm}^3 \) | 2. | \( 0.1443 \mathrm{~cm}^3 \) |
3. | \( 0.14 \mathrm{~cm}^3 \) | 4. | \( 0.144 \mathrm{~cm}^3\) |
A screw gauge has the least count of \(0.01~\mathrm{mm}\) and there are \(50\) divisions in its circular scale. The pitch of the screw gauge is:
1. \(0.25\) mm
2. \(0.5\) mm
3. \(1.0\) mm
4. \(0.01\) mm
Taking into account the significant figures, what is the value of \((9.99~\mathrm{m}-0.0099~\mathrm{m})\)?
1. | \(9.98\) m | 2. | \(9.980\) m |
3. | \(9.9\) m | 4. | \(9.9801\) m |
In an experiment, the height of an object measured by a vernier callipers having least count of \(0.01~\mathrm{cm}\) is found to be \(5.72~\mathrm{cm}\). When no object is there between jaws of this vernier callipers, the reading of the main scale is \(0.1\) cm and the reading of the vernier scale is \(0.3~\mathrm{mm}\). The correct height of the object is:
1. \( 5.72 \mathrm{~cm} \)
2. \( 5.59 \mathrm{~cm} \)
3. \( 5.85 \mathrm{~cm} \)
4. \( 5.69 \mathrm{~cm}\)
In which of the following, the number of significant figures is different from that in the others?
1. \(2.303~\mathrm{kg}\)
2. \(12.23~\mathrm{m}\)
3. \(0.002\times10^{5}~\mathrm{m}\)
4. \(2.001\times10^{-3}~\mathrm{kg}\)
The sum of the numbers \(436.32,227.2,\) and \(0.301\) in the appropriate significant figures is:
1. | \( 663.821 \) | 2. | \( 664 \) |
3. | \( 663.8 \) | 4. | \(663.82\) |
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. \(1.695~\mathrm{g~cm^{-3}}\)
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 \(2.74\) |
Young's modulus of steel is \(1.9 \times 10^{11} \mathrm{~N} / \mathrm{m}^2\). When expressed in CGS units of \(\mathrm{dyne/cm^2}\), it will be equal to: \((1 \mathrm{~N}=10^5 \text { dyne, } 1 \mathrm{~m}^2=10^4 \mathrm{~cm}^2)\)
1. \( 1.9 \times 10^{10} \)
2. \( 1.9 \times 10^{11} \)
3. \( 1.9 \times 10^{12} \)
4. \( 1.9 \times 10^9\)