| 1. | angular momentum |
| 2. | coefficient of thermal conductivity |
| 3. | torque |
| 4. | gravitational constant |
| 1. | both units and dimensions |
| 2. | units but no dimensions |
| 3. | dimensions but no units |
| 4. | no units and no dimensions |
If force \([F]\), acceleration \([A]\) and time \([T]\) are chosen as the fundamental physical quantities, then find the dimensions of energy:
| 1. | \(\left[FAT^{-1}\right]\) | 2. | \(\left[FA^{-1}T\right]\) |
| 3. | \(\left[FAT\right]\) | 4. | \(\left[FAT^{2}\right]\) |
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. \(6\)
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. | \( {\left[{MLT}^{-2}\right]}\) |
| 1. | W m–1 K–1 | 2. | J m K–1 |
| 3. | J m–1 K–1 | 4. | W m K–1 |
A physical quantity of the dimensions of length that can be formed out of \(c, G,~\text{and}~\dfrac{e^2}{4\pi\varepsilon_0}\)is:
(\(c\) is the velocity of light, \(G\) is the universal constant of gravitation and \(e\) is charge)
| 1. | \(c^2\left[G \dfrac{e^2}{4 \pi \varepsilon_0}\right]^{\dfrac{1}{2}}\) | 2. | \(\dfrac{1}{c^2}\left[\dfrac{e^2}{4 G \pi \varepsilon_0}\right]^{\dfrac{1}{2}}\) |
| 3. | \(\dfrac{1}{c} G \dfrac{e^2}{4 \pi \varepsilon_0}\) | 4. | \(\dfrac{1}{c^2}\left[G \dfrac{e^2}{4 \pi \varepsilon_0}\right]^{\dfrac{1}{2}}\) |