1. | A | B | C | 2. | A | B | C |
0 | 0 | 0 | 0 | 0 | 0 | ||
0 | 1 | 1 | 0 | 1 | 1 | ||
1 | 0 | 0 | 1 | 0 | 1 | ||
1 | 1 | 1 | 1 | 1 | 0 | ||
3. | 0 | 0 | 1 | 4. | 0 | 0 | 1 |
0 | 1 | 0 | 0 | 1 | 0 | ||
1 | 0 | 0 | 1 | 0 | 1 | ||
1 | 1 | 1 | 1 | 1 | 0 |
1. | \(\mathrm{tan^{-1}}\)(\(0.750\)) | 2. | \(\mathrm{sin^{-1}}\)(\(0.500\)) |
3. | \(\mathrm{sin^{-1}}\)(\(0.750\)) | 4. | \(\mathrm{tan^{-1}}\)(\(0.500\)) |
1. | \(2~\text{A}\) | 2. | \(0.25~\text{A}\) |
3. | \(1.5~\text{A}\) | 4. | \(1~\text{A}\) |
1. | do not play any significant role. |
2. | should be approximately equal to \(2\mathrm{X}\). |
3. | should be approximately equal and are small. |
4. | should be very large and unequal. |
1. | \(\dfrac{1}{{R}^{6}}\) | 2. | \(\dfrac{1}{{R}^{2}}\) |
3. | \(\dfrac{1}{{R}^{3}}\) | 4. | \(\dfrac{1}{{R}^{4}}\) |
List-I | List-II | ||
(a) | Gravitational constant (\(G\)) | (i) | \([{L}^2 {~T}^{-2}] \) |
(b) | Gravitational potential energy | (ii) | \([{M}^{-1} {~L}^3 {~T}^{-2}] \) |
(c) | Gravitational potential | (iii) | \([{LT}^{-2}] \) |
(d) | Gravitational intensity | (iv) | \([{ML}^2 {~T}^{-2}]\) |
(a) | (b) | (c) | (d) | |
1. | (iv) | (ii) | (i) | (iii) |
2. | (ii) | (i) | (iv) | (iii) |
3. | (ii) | (iv) | (i) | (iii) |
4. | (ii) | (iv) | (iii) | (i) |
1. | \(\nu=100 ~\text{Hz} ; ~\nu_0=\dfrac{100}{\pi} ~\text{Hz}\) |
2. | \(\nu_0=\nu=50~\text{Hz}\) |
3. | \(\nu_0=\nu=\dfrac{50}{\pi} ~\text{Hz}\) |
4. | \(\nu_{0}=\dfrac{50}{\pi}~ \text{Hz}, \nu=50 ~\text{Hz}\) |
1. | \(p_i=\chi_ip^o_i,\) where \(\chi_i=\) mole fraction of \(i^\text{th}\) gas in a gaseous mixture \(p_{i}^{o}=\) pressure of \(i^\text{th}\) gas in a pure state |
2. | \(\mathrm{p}=\mathrm{p}_{1}+\mathrm{p}_{2}+\mathrm{p}_{3} \) |
3. | \(\mathrm{p}=\mathrm{n}_{1} \frac{\mathrm{RT}}{\mathrm{V}}+\mathrm{n}_{2} \frac{\mathrm{RT}}{\mathrm{V}}+\mathrm{n}_{3} \frac{\mathrm{RT}}{\mathrm{V}}\) |
4. | \(\mathrm{p}_{i}=\chi_{i} \mathrm{p} \), where \(\mathrm{p}_{i}=\) partial pressure of \(i^\text{th}\) gas \(\chi_i=\) mole fraction of \(i^\text{th}\) gas in a gaseous mixture |