A rectangular wire loop of sides \(8\) cm and \(3\) cm with a small cut is moving out of a region of uniform magnetic field of magnitude \(0.3\) T directed normal to the plane of the loop. The emf developed across the cut, if the velocity of the loop is \(2\) cm-s-1, in a direction normal to the shorter side of the loop, will be:
1. \(1.8\times 10^{-4}\) volts
2. \(1.2\times 10^{-4}\) volts
3. \(1.3\times 10^{-4}\) volts
4. \(4.8\times 10^{-4}\) volts
1. \(1.8\times 10^{-4}\) volts
2. \(1.2\times 10^{-4}\) volts
3. \(1.3\times 10^{-4}\) volts
4. \(4.8\times 10^{-4}\) volts
Subtopic: Motional emf |
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A galvanometer of resistance \(100~\Omega\) gives full-scale deflection for a current of \(1\) mA. It is converted into an ammeter of range \(0\text-10\) A. The shunt required is:
1. \(0.01~\Omega\)
2. \(0.10~\Omega\)
3. \(0.001~\Omega\)
4. \(1.0~\Omega\)
1. \(0.01~\Omega\)
2. \(0.10~\Omega\)
3. \(0.001~\Omega\)
4. \(1.0~\Omega\)
Subtopic: Conversion to Ammeter & Voltmeter |
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In Young's double-slit experiment, using monochromatic light of wavelength \(\lambda,\) the intensity of light at a point on the screen where the path difference is \(\lambda,\) is \(K\) units. The intensity of light at a point where the path difference is \(\dfrac{\lambda}{3}\) will be:
1. \(\dfrac{K}{4}\)
2. \(K\)
3. \(\dfrac{K}{2}\)
4. \(2K\)
1. \(\dfrac{K}{4}\)
2. \(K\)
3. \(\dfrac{K}{2}\)
4. \(2K\)
Subtopic: Young's Double Slit Experiment |
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The magnitude and direction of the acceleration produced in a body of mass \(5\) kg when two mutually perpendicular forces \(8\) N and \(6\) N act on it are, respectively:
1. \(2 ~\text{ms}^{-2} ; \tan ^{-1}(3 / 4)~\text { with}~ 6~ \text{N force}\)
2. \(2 ~\text{ms}^{-2} ; \mathrm{tan}^{-1}(4 / 3)\text { with}~ 8 ~\text{N force} \)
3. \(2 ~\text{ms}^{-2} ; \tan ^{-1}(3 / 4)\text { with} ~8 ~\text{N force} \)
4. \(20~ \text{ms}^{-2}; \tan ^{-1}(4 / 3)\text { with}~ 8 ~\text{N force}\)
1. \(2 ~\text{ms}^{-2} ; \tan ^{-1}(3 / 4)~\text { with}~ 6~ \text{N force}\)
2. \(2 ~\text{ms}^{-2} ; \mathrm{tan}^{-1}(4 / 3)\text { with}~ 8 ~\text{N force} \)
3. \(2 ~\text{ms}^{-2} ; \tan ^{-1}(3 / 4)\text { with} ~8 ~\text{N force} \)
4. \(20~ \text{ms}^{-2}; \tan ^{-1}(4 / 3)\text { with}~ 8 ~\text{N force}\)
Subtopic: Application of Laws |
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Level 2: 60%+
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Five capacitors of capacitances;
\(C_1=C_2=C_3=C_4 = 10~\mu\text{F}\) and \(C_5 = 2.5~\mu\text{F}\) are connected as shown, along with a battery of \(50\) V.
The equivalent capacitance and the charges on each capacitor, respectively, are:
1. \(5~\mu\text{F}, 125~\mu\text{C}\) on all capacitors
2. \(5~\mu\text{F}, 250~\mu\text{C}\) on all capacitors
3. \(4~\mu\text{F}, 250~\mu\text{C}\) on \(C_1\) to \(C_4\) and \(125~\mu\text{C}\) on \(C_5\)
4. \(5~\mu\text{F}, 125~\mu\text{C}\) on \(C_1\) to \(C_4\) and \(25~\mu\text{C}\) on \(C_5\)
\(C_1=C_2=C_3=C_4 = 10~\mu\text{F}\) and \(C_5 = 2.5~\mu\text{F}\) are connected as shown, along with a battery of \(50\) V.
The equivalent capacitance and the charges on each capacitor, respectively, are:
1. \(5~\mu\text{F}, 125~\mu\text{C}\) on all capacitors
2. \(5~\mu\text{F}, 250~\mu\text{C}\) on all capacitors
3. \(4~\mu\text{F}, 250~\mu\text{C}\) on \(C_1\) to \(C_4\) and \(125~\mu\text{C}\) on \(C_5\)
4. \(5~\mu\text{F}, 125~\mu\text{C}\) on \(C_1\) to \(C_4\) and \(25~\mu\text{C}\) on \(C_5\)
Subtopic: Combination of Capacitors |
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In a metre bridge experiment (see figure), the positions of the cell, \(E,\) and galvanometer, \(G,\) are interchanged. We shall observe in the galvanometer:
| 1. | Only the right-sided deflection. |
| 2. | Only the left-sided deflection. |
| 3. | There will be no deflection irrespective of the position of the jockey. |
| 4. | Both right-sided and left-sided deflection and, at balance point, no deflection. |
Subtopic: Meter Bridge |
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The power of a crane, which lifts a mass of \(1000\) kg to a height of \(20\) m in \(10\) s is: (\(g=9.8~\) m/s2)
1. \(19.6\) W
2. \(39.2\) W
3. \(39.2\) kW
4. \(19.6\) kW
1. \(19.6\) W
2. \(39.2\) W
3. \(39.2\) kW
4. \(19.6\) kW
Subtopic: Power |
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Match List-I with List-II
Choose the correct answer from the options given below:
1. \(\mathrm{A\text-I, B\text{-}IV, C\text-III, D\text{-}II}\)
2. \(\mathrm{A\text-IV, B\text{-}I, C\text-II, D\text{-}III}\)
3. \(\mathrm{A\text-III, B\text{-}II, C\text-I, D\text{-}IV}\)
4. \(\mathrm{A\text-II, B\text{-}III, C\text-IV, D\text{-}I}\)
| List-I | List-II | ||
| \(\mathrm{A}.\) | Young's Modulus | \(\mathrm{I}.\) | \(\dfrac{\Delta d}{\Delta L} \left( \dfrac{L}{d} \right)\) |
| \(\mathrm{B}.\) | Compressibility | \(\mathrm{II}.\) | \(\dfrac{FL}{A(\Delta L)}\) |
| \(\mathrm{C}.\) | Bulk Modulus | \(\mathrm{III}.\) | \(-\dfrac{1}{\Delta P} \left( \dfrac{\Delta V}{V} \right)\) |
| \(\mathrm{D}.\) | Poisson's Ratio | \(\mathrm{IV}.\) | \(-P \left( \dfrac{V}{\Delta V} \right)\) |
1. \(\mathrm{A\text-I, B\text{-}IV, C\text-III, D\text{-}II}\)
2. \(\mathrm{A\text-IV, B\text{-}I, C\text-II, D\text{-}III}\)
3. \(\mathrm{A\text-III, B\text{-}II, C\text-I, D\text{-}IV}\)
4. \(\mathrm{A\text-II, B\text{-}III, C\text-IV, D\text{-}I}\)
Subtopic: Shear and bulk modulus |
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In a concave lens, a ray of light emanating from the object parallel to the principal axis of the lens, after refraction:
| 1. | emerges parallel to the principal axis |
| 2. | appears to diverge from the first principal focus |
| 3. | passes through \(2F,\) which is the radius of curvature of the lens |
| 4. | passes through the second principal focus |
Subtopic: Lenses |
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A thin wire of length '\(L\)' and linear mass density '\(m\)' is bent into a circular ring (in \(x\text-y\) plane) with centre '\(C\)' as shown in figure. The moment of inertia of the ring about an axis \(yy'\) will be:
| 1. | \(\dfrac{3 {~mL}^3}{8 \pi^2} \) | 2. | \(\dfrac{3 {mL}^3}{8 \pi} \) |
| 3. | \(\dfrac{3 {mL}^2}{8 \pi^2} \) | 4. | \(\dfrac{3{mL}^2}{8 \pi}\) |
Subtopic: Moment of Inertia |
Level 3: 35%-60%
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