\(5.74\) 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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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology
The SI unit of energy is \(\mathrm{J = \text{kg}\left(m\right)^{2} s^{- 2}}\); that of speed \(v\) is \(\text{ms}^{- 1}\) and of acceleration \(a\) is \(\text{ms}^{- 2}\). Which of the formula for kinetic energy (\(K\)) given below can you rule out on the basis of dimensional arguments (m stands for the mass of the body)?
(a) | \(K={m^{2} v^{3}}\) |
(b) | \(K=\dfrac{1}{2}mv^{2}\) |
(c) | \(K= ma\) |
(d) | \(K =\dfrac{3}{16}mv^{2}\) |
(e) | \(K = \dfrac{1}{2}mv^2+ ma\) |
Choose the correct option:
1. | (a), (c) & (d) |
2. | (b) & (d) |
3. | (a), (c), (d) & (e) |
4. | (a), (c) & (e) |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyLet us consider an equation \(\dfrac{1}{2}mv^2=mgh\) where \(m\) is the mass of the body, \(v\) its velocity, \(g\) is the acceleration due to gravity and \(h\) is the height. The equation is:
1. | dimensionally correct. |
2. | dimensionally incorrect. |
3. | can not be checked by dimensional analysis. |
4. | can't say anything. |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyConsider a simple pendulum, having a bob attached to a string, that oscillates under the action of the force of gravity. Suppose that the period of oscillation of the simple pendulum depends on its length \((l)\), the mass of the bob \((m)\) and acceleration due to gravity \((g)\). Expression for its time period is:
1. \(T = \dfrac{1}{2 \pi} \sqrt{\dfrac{l}{g}} \)
2. \(T = 2 \pi \left(\dfrac{l}{g}\right) \)
3. \(T = 2 \pi \sqrt{\dfrac{l}{g}} \)
4. \(T = 2 \pi \sqrt{\dfrac{g}{l}} \)
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology