An explosion blows a rock into three parts. Two parts go off at right angles to each other. These two are, the first part 1 kg moving with a velocity of 12 and the second part 2 kg moving with a velocity of 8 . If the third part flies off with a velocity of 4 , its mass would be:
1. 5 kg
2. 7 kg
3. 17 kg
4. 3 kg
A conducting circular loop is placed in a uniform magnetic field of \(0.04\) T with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at a rate of \(2\) mm/s. The induced emf in the loop when the radius is \(2\) cm is:
1. \(3.2\pi ~\mu \text{V}\)
2. \(4.8\pi ~\mu\text{V}\)
3. \(0.8\pi ~\mu \text{V}\)
4. \(1.6\pi ~\mu \text{V}\)
| 1. | pressure if \(a=1,\) \(b=-1,\) \(c=-2\) |
| 2. | velocity if \(a=1,\) \(b=0,\) \(c=-1\) |
| 3. | acceleration if \(a=1,\) \(b=1,\) \(c=-2\) |
| 4. | force if \(a=0,\) \(b=-1,\) \(c=-2\) |
\({ }_{\mathrm{Z}}^{\mathrm{A}} \mathrm{X} \rightarrow { }_{\mathrm{Z}+1}^{\mathrm{A}} \mathrm{Y}\rightarrow { }_{\mathrm{Z-1}}^{\mathrm{A-4}} \mathrm{B}\rightarrow { }_{\mathrm{Z-1}}^{\mathrm{A-4}} \mathrm{B}\) the particles emitted in the sequence are:
| 1. | \(\beta, \alpha, \gamma\) | 2. | \( \gamma, \beta, \alpha\) |
| 3. | \(\beta, \gamma,\alpha\) | 4. | \(\alpha,\beta, \gamma\) |
| 1. | \(\mathrm{V}_{\mathrm{C}}=\mathrm{V}_{\mathrm{A}} \neq \mathrm{V}_{\mathrm{B}}\) |
| 2. | \(\mathrm{V}_{\mathrm{C}}=\mathrm{V}_B \neq \mathrm{V}_{\mathrm{A}}\) |
| 3. | \(\mathrm{V}_{\mathrm{C}} \neq \mathrm{V}_B \neq \mathrm{V}_A\) |
| 4. | \(\mathrm{V}_{\mathrm{C}}=\mathrm{V}_B=\mathrm{V}_A\) |
2. \(40\) ms-1
3. \(25\) ms-1
4. \(10\) ms-1
Under the influence of a uniform magnetic field, a charged particle moves with constant speed \(v\) in a circle of radius \(R.\) The time period of rotation of the particle:
| 1. | depends on \(v\) and not on \(R.\) |
| 2. | depends on R and not on \(v.\) |
| 3. | is independent of both \(v\) and \(R.\) |
| 4. | depends on both \(v\) and \(R.\) |
1. \(y =(0.02~\text{m})\sin(7.85x+1005t)\)
2. \(y =(0.02~\text{m})\sin(15.7x-2010t)\)
3. \(y =(0.02~\text{m})\sin(15.7x+2010t)\)
4. \(y =(0.02~\text{m})\sin(7.85x-1005t)\)
1. \(\frac{\pi a\sqrt3}{2T}\)
2. \(\frac{\pi a}{T}\)
3. \(\frac{3\pi^2 a}{T}\)
4. \(\frac{\pi a\sqrt3}{T}\)
1. \(6000~\mathring{A}\)
2. \(4000~\text{nm}\)
3. \(6000~\text{nm}\)
4. \(4000~\mathring{A}\)
© 2026 GoodEd Technologies Pvt. Ltd.