Q. No.If \(x=10.0\pm0.1\) and \(y=10\pm0.1\), then \(2x-2y\) with consideration of significant figures is equal to:
1.
zero
2.
\(0.0\pm0.1\)
3.
\(0.0\pm0.2\)
4.
\(0.0\pm0.4\)
The length, breadth, and thickness of a rectangular sheet of metal are \(4.234\) m, \(1.005\) m, and \(2.01\) cm respectively. The volume of the sheet to correct significant figures is:
1. \(0.00856\) m3
2. \(0.0856\) m3
3. \(0.00855\) m3
4. \(0.0855\) m3
Dimensions of stress are:
| 1. | \( {\left[{ML}^2 {T}^{-2}\right]} \) | 2. | \( {\left[{ML}^0 {T}^{-2}\right]} \) |
| 3. | \( {\left[{ML}^{-1} {T}^{-2}\right]} \) | 4. | \( {\left[{MLT}^{-2}\right]}\) |
The energy required to break one bond in DNA is \(10^{-20}~\text{J}\). This value in eV is nearly:
1. \(0.6\)
2. \(0.06\)
3. \(0.006\)
4. \(6\)
1. \(9.98~\text{m}\)
2. \(9.980~\text{m}\)
3. \(9.9~\text{m}\)
4. \(9.9801~\text{m}\)
A screw gauge has the least count of \(0.01~\text{mm}\) and there are \(50\) divisions in its circular scale. The pitch of the screw gauge is:
| 1. | \(0.25~\text{mm}\) | 2. | \(0.5~\text{mm}\) |
| 3. | \(1.0~\text{mm}\) | 4. | \(0.01~\text{mm}\) |
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 \({x}=\dfrac{{a} \sin \theta+{b} \cos \theta}{{a}+{b}},\) then:
| 1. | the dimensions of \(x\) and \(a\) must be the same |
| 2. | the dimensions of \(a\) and \(b\) are not the same |
| 3. | \(x\) is dimensionless |
| 4. | none of the above |
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. \(1.695~\text{g cm}^{-3}\)
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 \(2.74\) |
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