For a simple pendulum having a time period, \(T,\) the variation of kinetic energy \((K.E.)~\) with time \((t)~\) is represented by:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
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A room heater is rated \(400\) W, \(220\) V. If the supply voltage drops to \(200\) V, what will be the power consumed (approximately)?
1. \(400~\text{W}\)
2. \(121~\text{W}\)
3. \(331~\text{W}\)
4. \(200~\text{W}\)
1. \(400~\text{W}\)
2. \(121~\text{W}\)
3. \(331~\text{W}\)
4. \(200~\text{W}\)
Level 4: Below 35%
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The angular speed of a flywheel is increased from \(600\) rpm to \(1200\) rpm in \(10\) s. The number of revolutions completed by the flywheel during this time is:
1. \(600\)
2. \(300\)
3. \(900\)
4. \(150\)
1. \(600\)
2. \(300\)
3. \(900\)
4. \(150\)
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The sum of kinetic energy and potential energy of a simple pendulum bob is \(0.02\) joules. The speed of the simple pendulum bob at equilibrium position is approximately:
(consider mass of the bob \(=20~\text{g }\))
1. \(2.0~\text{m/s }\)
2. \(0.2~\text{m/s }\)
3. \(14.1~\text{m/s }\)
4. \(1.41~\text{m/s }\)
(consider mass of the bob \(=20~\text{g }\))
1. \(2.0~\text{m/s }\)
2. \(0.2~\text{m/s }\)
3. \(14.1~\text{m/s }\)
4. \(1.41~\text{m/s }\)
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A \(100\text-\)turn closely wound circular coil of radius \(5~\text{cm}\) has a magnetic field of \(3.14 \times 10^{-3}~\text{T}\) at its centre. The current flowing through the coil, and the magnitude of the magnetic moment of this coil are, respectively:
(take \(\mu_0 = 4\pi \times 10^{-7}~\text{T-m/A}\))
1. \(2.5~\text{A}, 20~\text{A-m}^2\)
2. \(2~\text{A},4~\text{A-m}^2\)
3. \(2.5~\text{A}, 2~\text{A-m}^2\)
4. \(2~\text{A}, 10~\text{A-m}^ 2\)
(take \(\mu_0 = 4\pi \times 10^{-7}~\text{T-m/A}\))
1. \(2.5~\text{A}, 20~\text{A-m}^2\)
2. \(2~\text{A},4~\text{A-m}^2\)
3. \(2.5~\text{A}, 2~\text{A-m}^2\)
4. \(2~\text{A}, 10~\text{A-m}^ 2\)
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A submarine is designed to withstand an absolute pressure of \(100\) atm. How deep can it go below the water surface?
(consider the density of water\(=1000 ~\text{kg m}^{-3},\) \(1 ~\text{atm}=1\times 10^{5} ~\text{Pa}\) and gravitational acceleration \(g=10~\text{m/s}^2\))
1. \(9900~\text{m}\)
2. \(990~\text{m}\)
3. \(9000~\text{m}\)
4. \(99~\text{m}\)
(consider the density of water\(=1000 ~\text{kg m}^{-3},\) \(1 ~\text{atm}=1\times 10^{5} ~\text{Pa}\) and gravitational acceleration \(g=10~\text{m/s}^2\))
1. \(9900~\text{m}\)
2. \(990~\text{m}\)
3. \(9000~\text{m}\)
4. \(99~\text{m}\)
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Match List-I with List-II:
Choose the correct answer from the options given below:
1. A-I, B-IV, C-III, D-II
2. A-IV, B-III, C-I, D-II
3. A-IV, B-III, C-II, D-I
4. A-IV, B-I, C-II, D-III
| List-I | List-II | ||
| \(\mathrm{(A)}\) | \(E = h\nu\) | \(\mathrm{(I)}\) | de-Broglie wavelength |
| \(\mathrm{(B)}\) | Diffraction and Interference | \(\mathrm{(II)}\) | Particle nature of light |
| \(\mathrm{(C)}\) | \(\lambda = h/p\) | \(\mathrm{(III)}\) | Wave nature of light |
| \(\mathrm{(D)}\) | Compton effect | \(\mathrm{(IV)}\) | Energy of photon |
Choose the correct answer from the options given below:
1. A-I, B-IV, C-III, D-II
2. A-IV, B-III, C-I, D-II
3. A-IV, B-III, C-II, D-I
4. A-IV, B-I, C-II, D-III
Level 4: Below 35%
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Match List I with List II
Choose the correct answer from the options given below:
1. A-III, B-II, C-I, D-IV
2. A-II, B-III, C-IV, D-I
3. A-I, B-IV, C-III, D-II
4. A-IV, B-I, C-II, D-III
| List I | List II | ||
| A. | Young's Modulus | I. | \(\dfrac{\Delta d}{\Delta L} \left( \dfrac{L}{d} \right)\) |
| B. | Compressibility | II. | \(\dfrac{FL}{A(\Delta L)}\) |
| C. | Bulk Modulus | III. | \(-\dfrac{1}{\Delta P} \left( \dfrac{\Delta V}{V} \right)\) |
| D. | Poisson's Ratio | IV. | \(-P \left( \dfrac{V}{\Delta V} \right)\) |
1. A-III, B-II, C-I, D-IV
2. A-II, B-III, C-IV, D-I
3. A-I, B-IV, C-III, D-II
4. A-IV, B-I, C-II, D-III
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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:
\(C_1=C_2=C_3=C_4 = 10~\mu\text{F}\) 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. | \(4~\mu\text{F}, 250~\mu\text{C}\) on \(C_1\) to \(C_4\) and \(125~\mu\text{C}\) on \(C_5\) |
| 2. | \(5~\mu\text{F}, 250~\mu\text{C}\) on all capacitors |
| 3. | \(5~\mu\text{F}, 125~\mu\text{C}\) on \(C_1\) to \(C_4\) and \(25~\mu\text{C}\) on \(C_5\) |
| 4. | \(5~\mu\text{F}, 125~\mu\text{C}\) on all capacitors |
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The amount of work done to raise a mass '\(m\)' from the surface of the Earth to a height equal to the radius of the Earth '\(R\)', will be:
1. \(mg\dfrac{R}{2}\)
2. \(mgR\)
3. \(mg\dfrac{R}{4}\)
4. \(2mgR\)
1. \(mg\dfrac{R}{2}\)
2. \(mgR\)
3. \(mg\dfrac{R}{4}\)
4. \(2mgR\)
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