Q. No.
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Taking into account the significant figures, what is the value of \((9.99~\text{m}-0.0099~\text{m})\text{?}\)
1. \(9.98~\text{m}\)
2. \(9.980~\text{m}\)
3. \(9.9~\text{m}\)
4. \(9.9801~\text{m}\)
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If the error in measurement of the radius of a sphere is \(0.1\%,\) then the error in its volume will be:
1. \(0.3\%\)
2. \(0.4\%\)
3. \(0.5\%\)
4. \(0.6\%\)
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The relative error in \(Z,\) if \(Z=\dfrac{A^{4}B^{1/3}}{CD^{3/2}}\) is:
1. \(\dfrac{\Delta A}{A}+\dfrac{\Delta B}{B}+\dfrac{\Delta C}{C}+\dfrac{\Delta D}{D}\)
2. \(4\dfrac{\Delta A}{A}+\dfrac{1}{3}\dfrac{\Delta B}{B}-\dfrac{\Delta C}{C}- \dfrac{3}{2}\dfrac{\Delta D}{D}\)
3. \(4\dfrac{\Delta A}{A}+\dfrac{1}{3}\dfrac{\Delta B}{B}+\dfrac{\Delta C}{C}+\dfrac{2}{3}\dfrac{\Delta D}{D}\)
4. \(4\dfrac{\Delta A}{A}+\dfrac{1}{3}\dfrac{\Delta B}{B}+\dfrac{\Delta C}{C}+\dfrac{3}{2}\dfrac{\Delta D}{D}\)
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\(5.74\) g of a substance occupies \(1.2~\text{cm}^3\). Its density by keeping the significant figures in view is:
1. \(4.7333~\text{g/cm}^3\)
2. \(3.8~\text{g/cm}^3\)
3. \(4.8~\text{g/cm}^3\)
4. \(3.7833~\text{g/cm}^3\)
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| List-I | List-II | ||
| \(\mathrm{(a)}\) | \({h} \) (Planck's constant) | \(\mathrm{(i)}\) | \([MLT^{-1}]\) |
| \(\mathrm{(b)}\) | \({E} \) (kinetic energy) | \(\mathrm{(ii)}\) | \([ML^2T^{-1}]\) |
| \(\mathrm{(c)}\) | \(V\) (electric potential) | \(\mathrm{(iii)}\) | \([ML^2T^{-2}]\) |
| \(\mathrm{(d)}\) | \(p\) (linear momentum) | \(\mathrm{(iv)}\) | \([ML^2A^{-1}T^{-3}]\) |
Choose the correct option from the given ones:
| 1. | \(\mathrm{(a) → (iii), (b) → (iv), (c) → (ii), (d) → (i)}\) |
| 2. | \(\mathrm{(a) → (ii), (b) → (iii), (c) → (iv), (d) → (i)}\) |
| 3. | \(\mathrm{(a) → (i), (b) → (ii), (c) → (iv), (d) → (iii)}\) |
| 4. | \(\mathrm{(a) → (iii), (b) → (ii), (c) → (iv), (d) → (i)}\) |
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If speed \(V,\) area \(A,\) and force \(F\) are chosen as fundamental units, then the dimension of Young's modulus will be:
1. \(\left [ FA^{-1}V^0 \right ]\)
2. \(\left [ FA^{2}V^{-1} \right ]\)
3. \(\left [ FA^{2}V^{-3} \right ]\)
4. \(\left [ FA^{2}V^{-2} \right ]\)
Which of the following measurement is most precise?
1. \(5.00~\text{mm}\)
2. \(5.00~\text{cm}\)
3. \(5.00~\text{m}\)
4. \(5.00~\text{km}\)
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How many significant figures are in \(0.0006032~\text{m}^2?\)
1. \(8\)
2. \(4\)
3. \(9\)
4. none of these
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Which of the following pairs represent units of the same physical quantity?
1. kelvin and joule
2. kelvin and calorie
3. newton and calorie
4. joule and calorie.
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