Q. No.\((a,b>0)\)
| 1. | \(a\hat i\) | 2. | \(-a\hat i\) |
| 3. | \(a\hat i+b\hat j\) | 4. | \(-a\hat i+b\hat j\) |
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1. \(v\propto m\)
2. \(v^3\propto m\)
3. \(v^3\propto m^2\)
4. \(v^2\propto m^3\)
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| 1. | \(\Large\frac{mg}{A}\) | 2. | \(\Large\frac{2}{3}\frac{mg}{A}\) |
| 3. | \(\Large\frac{1}{3}\frac{mg}{A}\) | 4. | \(\Large\frac{3}{2}\frac{mg}{A}\) |
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| 1. | is more along \(AB\) compared to \(OB\) |
| 2. | is more along \(OB\) compared to \(AB\) |
| 3. | is the same along \(AB\) or \(OB\) |
| 4. | is zero along \(AB,\) but non-zero along \(OB\) |
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| 1. | Weight of \(A=\dfrac{1}{3}\) weight of \(B\) |
| 2. | Weight of submerged part of \(A=\dfrac{1}{2}\) weight of submerged part of \(B\) |
| 3. | Density of \(A=\dfrac{3}{4}\) the density of \(B\) |
| 4. | Weight of exposed part of \(A=\) weight of exposed part of \(B\) |
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| Assertion (A): | The viscosity of a gas decreases as the temperature is increased. |
| Reason (R): | When temperature increases, the random molecular motion of the gas molecules increases. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
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| 1. | \(\dfrac{4S}{r}\) | 2. | \(\dfrac{8S}{3r}\) |
| 3. | \(\dfrac{8S}{r}\) | 4. | \(\dfrac{16S}{3r}\) |
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| 1. | it will displace less weight of water in \(A\) than in \(B.\) |
| 2. | it will displace less volume of water in \(A\) than in \(B.\) |
| 3. | it will displace more weight of water in \(A\) than in \(B.\) |
| 4. | it will displace more volume of water in \(A\) than in \(B.\) |
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1. \(v_A+v_B=v_C\)
2. \(v_A+v_B=\dfrac{1}{2}v_C\)
3. \(v_A+v_B=2v_C\)
4. \(v_A+v_B=4v_C\)
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| 1. | \(\dfrac{R}{6t}\) | 2. | \(\dfrac{R}{3t}\) |
| 3. | \(\dfrac{6t}{R}\) | 4. | \(\dfrac{3t}{R}\) |
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