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 \(0.12\cdot\) Keeping the box in a stationary state over the trolley; the maximum acceleration with which the trolley can be moved horizontally in \(\text{ms}^{-2}\) is: (\(g=10\) \(\text{ms}^{-2}\))
1. \(1.8\)
2. \(1.2\)
3. \(1.5\)
4. \(2.1\)
1. \(1.8\)
2. \(1.2\)
3. \(1.5\)
4. \(2.1\)
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In the circuit shown below, the voltage appearing across the diode \(D\) will be of the form:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
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A flask contains argon and chlorine in the ratio of \(2:1\) by mass. The temperature of the mixture is \(27^{\circ}\text{C}.\) The ratio of root mean square speed of the molecules of the two gases \(\left(\dfrac{v_{\text{rms}}^{\text{Ar}}}{v_{\text{rms}}^{\text{Cl}}}\right)~~\) is:
(atomic mass of argon \(=40.0~\text{u}~\) and molecular mass of chlorine\(=70.0~\text{u}\))
1. \(\dfrac{7}{4}\)
2. \(\dfrac{2}{\sqrt{7}}~\)
3. \(\dfrac{\sqrt{7}}{2}\)
4. \(\dfrac{7}{2}\)
(atomic mass of argon \(=40.0~\text{u}~\) and molecular mass of chlorine\(=70.0~\text{u}\))
1. \(\dfrac{7}{4}\)
2. \(\dfrac{2}{\sqrt{7}}~\)
3. \(\dfrac{\sqrt{7}}{2}\)
4. \(\dfrac{7}{2}\)
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-IV, B-III, C-II, D-I
2. A-III, B-IV, C-I, D-II
3. A-III, B-I, C-II, D-IV
4. A-IV, B-I, C-II, D-III
| List I (Electromagnetic wave) |
List II (Production) |
||
| A. | Microwave | I. | Electrons in atoms emit light when they move from a higher energy level to a lower energy level |
| B. | Visible light | II. | Radioactive decay of nucleus |
| C. | Gamma rays | III | Vibration of atoms and molecules |
| D. | Infra-red rays | IV. | Klystron valve or magnetron valve |
1. A-IV, B-III, C-II, D-I
2. A-III, B-IV, C-I, D-II
3. A-III, B-I, C-II, D-IV
4. A-IV, B-I, C-II, D-III
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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. | \(2 ~\text{ms}^{-2} ; \tan ^{-1}(3 / 4)\text { with} ~8 ~\text{N force} ~\) |
| 2. | \(2 ~\text{ms}^{-2} ; \mathrm{tan}^{-1}(4 / 3)\text { with}~ 8 ~\text{N force} ~\) |
| 3. | \(2 ~\text{ms}^{-2} ; \tan ^{-1}(3 / 4)~\text { with}~ 6~ \text{N force}~\) |
| 4. | \(20~ \text{ms}^{-2}; \tan ^{-1}(4 / 3)\text { with}~ 8 ~\text{N force}~\) |
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The current \(I\) in the circuit shown below is:
(All diodes are ideal and identical.)
1. \(\dfrac{1}{3} ~\text{A}\)
2. \(\dfrac{15}{2} ~\text{A}\)
3. \(\dfrac{5}{3}~\text{A}\)
4. \(\dfrac{5}{9} ~\text{A}~\)
(All diodes are ideal and identical.)
1. \(\dfrac{1}{3} ~\text{A}\)
2. \(\dfrac{15}{2} ~\text{A}\)
3. \(\dfrac{5}{3}~\text{A}\)
4. \(\dfrac{5}{9} ~\text{A}~\)
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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. \(200~\text{nm}~\)
2. \(100~\text{nm}~\)
3. \(50~\text{nm}~\)
4. \(150~\text{nm}\)
(take Planck's constant as \(6.6\times 10^{-34}\) J-s)
1. \(200~\text{nm}~\)
2. \(100~\text{nm}~\)
3. \(50~\text{nm}~\)
4. \(150~\text{nm}\)
Level 4: Below 35%
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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 a new unit is:
1. \(3 \times 10^8~\)
2. \(500~\)
3. \(3 \times 10^{10}~\)
4. \(400~\)
1. \(3 \times 10^8~\)
2. \(500~\)
3. \(3 \times 10^{10}~\)
4. \(400~\)
Level 4: Below 35%
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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. \(1.3\times 10^{-4}~\) volts
3. \(1.2\times 10^{-4}~\) volts
4. \(4.8\times 10^{-4}~\) volts
1. \(1.8\times 10^{-4}~\) volts
2. \(1.3\times 10^{-4}~\) volts
3. \(1.2\times 10^{-4}~\) volts
4. \(4.8\times 10^{-4}~\) volts
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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. \((\mathrm{C})\) only
4. \((\mathrm{D})\) only
| \((\mathrm{A})\) |  |
\((\mathrm{B})\) |  |
| \((\mathrm{C})\) |  |
\((\mathrm{D})\) |  |
| \((\mathrm{E})\) |  |
||
1. \((\mathrm{B})\) only
2. \((\mathrm{A})\) and \((\mathrm{E})\) only
3. \((\mathrm{C})\) only
4. \((\mathrm{D})\) only
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