The following plots show variation of velocity \((v)\) with time \((t)\), of a ball thrown vertically upward and falling back. Which of the following plots is/are correct?
1. \((\mathrm{B})\) only
2. \((\mathrm{A})\) and \((\mathrm{E})\) only
3. \((\mathrm{D})\) only
4. \((\mathrm{C})\) only
| A. |  |
| B. |  |
| C. |  |
| D. |  |
| E. |  |
1. \((\mathrm{B})\) only
2. \((\mathrm{A})\) and \((\mathrm{E})\) only
3. \((\mathrm{D})\) only
4. \((\mathrm{C})\) only
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For a metal of work function \(6.6\) eV, which of the following wavelengths of incident radiation does not give rise to the photoelectric effect?
(take Planck's constant as \(6.6\times 10^{-34}\) J-s)
1. \(50~\text{nm}\)
2. \(100~\text{nm}\)
3. \(150~\text{nm}\)
4. \(200~\text{nm}\)
(take Planck's constant as \(6.6\times 10^{-34}\) J-s)
1. \(50~\text{nm}\)
2. \(100~\text{nm}\)
3. \(150~\text{nm}\)
4. \(200~\text{nm}\)
Level 4: Below 35%
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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. \(39.2\) kW
2. \(39.2\) W
3. \(19.6\) kW
4. \(19.6\) W
1. \(39.2\) kW
2. \(39.2\) W
3. \(19.6\) kW
4. \(19.6\) W
Level 4: Below 35%
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Match List-I with List-II:
Choose the correct answer from the options given below:
| List-I | List-II | ||
| \(\mathrm{(A)}\) | \(E = h\nu\)\(v\) | \(\mathrm{(I)}\) | de-Broglie wavelength |
| \(\mathrm{(B)}\) | Diffraction and Interference | \(\mathrm{(II)}\) | Particle nature of light |
| \(\mathrm{(C)}\) | \(\lambda = h/p\)\(p\) | \(\mathrm{(III)}\) | Wave nature of light |
| \(\mathrm{(D)}\) | Compton effect | \(\mathrm{(IV)}\) | Energy of photon |
Choose the correct answer from the options given below:
| 1. | A-IV, B-I, C-II, D-III |
| 2. | A-I, B-IV, C-III, D-II |
| 3. | A-IV, B-III, C-II, D-I |
| 4. | A-IV, B-III, C-I, D-II |
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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. | \(2~m~s^{-2}; \tan^{-1}(4/3)\) with 8 N force |
| 2. | \(2~m~s^{-2}; \tan^{-1}(3/4)\) with 8 N force |
| 3. | \(2~m~s^{-2}; \tan^{-1}(3/4)\) with 6 N force |
| 4. | \(20~m~s^{-2}; \tan^{-1}(4/3)\) with 8 N force |
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The sum of kinetic energy and potential energy of a simple pendulum bob is 0.02 joule. The speed of the simple pendulum bob at equilibrium position is approximately :
1. 14.1 m/s
2. 1.41 m/s
3. 2.0 m/s
4. 0.2 m/s
1. 14.1 m/s
2. 1.41 m/s
3. 2.0 m/s
4. 0.2 m/s
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A box of mass 15 kg is kept on the floor of a stationary trolley. The coefficient of static friction between the box and the trolley is 0.12. Keeping the box in stationary state over the trolley, the maximum acceleration with which the trolley can be moved horizontally in \(m s^{-2}\) is : (\(g = 10 m/s^2\))
1. \(1 \cdot 2\)
2. \(1 \cdot 8\)
3. \(1 \cdot 5\)
4. \(2 \cdot 1\)
1. \(1 \cdot 2\)
2. \(1 \cdot 8\)
3. \(1 \cdot 5\)
4. \(2 \cdot 1\)
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The speed of light in vacuum is taken as unity. If light takes 6 min 40 s to reach the Earth from the Sun, the distance between the Sun and the Earth in new unit is :
1. 500
2. 3 × \(10^8\)
3. 400
4. 3 × \(10^{10}\)
1. 500
2. 3 × \(10^8\)
3. 400
4. 3 × \(10^{10}\)
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In the circuit shown below, the voltage appearing across the diode \(D\) will be of the for
| 1. |  |
| 2. |  |
| 3. |  |
| 4. |  |
Level 4: Below 35%
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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 kg m-3, 1 atm = 1 x 105 Pa and gravitational acceleration g = 10 m/s2)
1. 990 m
2. 9000 m
3. 99 m
4. 9900 m
(Consider the density of water = 1000 kg m-3, 1 atm = 1 x 105 Pa and gravitational acceleration g = 10 m/s2)
1. 990 m
2. 9000 m
3. 99 m
4. 9900 m
Level 4: Below 35%
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