At room temperature, copper has free electron density of \(8.4 \times 10^{28}\) m-3. The electron drift velocity in a copper conductor of a cross-sectional area of \(10^{-6}\) m2 and carrying a current of \(5.4\) A, will be:
1. \(4\) ms-1
2. \(0.4\) ms-1
3. \(4\) cms-1
4. \(0.4\) mms-1
2. \(0.4\) ms-1
3. \(4\) cms-1
4. \(0.4\) mms-1
2. \(4R\)
3. \(\frac R4\)
4. \(\frac{R}{16}\)
2. \(2.084\) g
3. \(3.125\) g
4. \(4.167\) g
2. AND
3. NAND
4. None of these
| 1. | none |
| 2. | A only |
| 3. | A and B only |
| 4. | A and B only |
Two boys are standing at the ends \(A\) and \(B\) of a ground, where \(AB = a.\) The boy at \(B\) starts running in a direction perpendicular to \(AB\) with velocity \(v_1.\) The boy \(A\) starts running simultaneously with velocity \(v\) and catches the other boy in a time \(t,\) where \(t\) is:
1. \(\frac{a}{\sqrt{v^2+v_1~^2}}\)
2. \(\sqrt{\frac{a^2}{v^2-v_1~^2}}\)
3. \(\frac{a}{(v-v_1)}\)
4. \(\frac{a}{(v+v_1)}\)
2. \(5\) Ω
3. \(0.4\) Ω
4. \(0.04\) Ω
A force \(F\) is given \(F=at+bt^2,\)where \(t\) is time. What are the dimensions of \(a\) and \(b\)?
1. \([MLT^{-1}]\) and \([MLT^{0}]\)
2. \([MLT^{-3}]\) and \([ML^2T^{4}]\)
3. \([MLT^{-4}]\) and \([MLT^{1}]\)
4. \([MLT^{-3}]\) and \([MLT^{-4}]\)
| 1. | execute SHM about the origin. |
| 2. | move to the origin and remain at rest. |
| 3. | move to infinity. |
| 4. | execute oscillatory but not SHM. |
An ice cube of density \(900\) kg/m is floating in water of density \(1000\) kg/m. The percentage of the volume of ice-cube outside the water is:
1. \(20\)%
2. \(35\)%
3. \(10\)%
4. \(25\)%
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