Q. No.| (A) | \(\dfrac{\text{(Magnetic flux)}^2}{\text{Electrical resistance}}\) | (B) | \(\text{Torque}\times\text{time}\) |
| (C) | \(\text{Momentum}\times\text{length}\) | (D) | \(\dfrac{\text{Power}}{\text{time}}\) |
2. A, B, C
3. B, D
4. A, B, C, D
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| (A) | \(\dfrac{\text{electric field }\times\text{ magnetic field}}{\mu_0}\) |
| (B) | \(\dfrac{\varepsilon_0\times\text{(electric potential)}^2\times\text{ velocity}}{\text{area}}\) |
| (C) | \(\dfrac{\text{power}}{\text{area}}\) |
2. B, C
3. A, C
4. A, B, C
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1. \(\text{impedance}\times\text{conductance} \)
2. \(\dfrac{\text{emissive power}}{\text{emissivity}}\)
3. \(\dfrac{\text{electric field}}{\text{magnetic field}}\)
4. \(\dfrac{\text{inductance}}{\text{capacitance}}\)
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Here, \(k\) is the permeability of the medium. The unit of \(k\) is (SI units):
1. m
2. m2
3. m2/s
4. m/s2
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where \(\mu_0\) is the permeability of free space and \(\sigma\) is the electrical conductivity (of a plasma). \(\eta\) is referred to as the magnetic diffusivity. Its SI unit is:
1. m2/s
2. m/s2
3. C-m2/s
4. T-m/s
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1. \(Kc\eta\)
2. \(\Large\frac{Kc}{\eta}\)
3. \(\Large\frac{K\eta}{c}\)
4. \(\dfrac{\eta c}{K}\)
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\(\dfrac{\partial n}{\partial t}=D\dfrac{\partial^2 n}{\partial x^2}\)
where \(n(x,t)\) is the concentration of particles per unit volume at position \(x\), at time \(t\). The dimensions of the diffusion constant \(D,\) are:
1. \(LT^{-1}\)
2. \(L^{-1}T\)
3. \(L^{5}T^{-1}\)
4. \(L^{2}T^{-1}\)
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1. \(\Omega\) (ohm)
2. s/m
3. \(\text{H }\)(henry)
4. \(\text{F }\) (farad)
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\(h\) : Planck's constant, \(K\) : kinetic energy, \(\omega\) : angular speed/frequency, \(F\): force, \(L\) : inductance, \(i\) : current, \(q\) : charge, \(t\) : time, \(x\): distance
1. \(h, ~Ftx,~ Liq\)
2. \(K , h\omega , \omega Li\)
3. \(Fx, ~Li^2,~K \omega\)
4. \(\dfrac{Fx}{t} ,~ Kx, ~ ht\)
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The acceleration due to gravity on the surface of the Earth is \(g=10~\text{m/s}^2\) . The value in \(\text {km/minute}^2\) is:
1. \(36\)
2. \(0.6\)
3. \(\dfrac{10}{6}\)
4. \(3.6\)
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