Which of the following statements are correct?
Choose the correct answer from the options given below:
1. \(\mathrm{C,D~\text{and}~E}~\text{only}\)
2. \(\mathrm{A,B~\text{and}~D}~\text{only}\)
3. \(\mathrm{A,C~\text{and}~D}~\text{only}\)
4. \(\mathrm{A,C~\text{and}~E}~\text{only}\)
| \(\mathrm{A.}\) | Inside a conductor, the electrostatic field is zero. |
| \(\mathrm{B.}\) | The electric field at the surface of a charged conductor does not depend on its surface charge density. |
| \(\mathrm{C.}\) | The interior of a charged conductor can have no excess charge in the static situation. |
| \(\mathrm{D.}\) | At the surface of a charged conductor, the electrostatic field must be normal to the surface at every point. |
| \(\mathrm{E.}\) | The electrostatic potential is zero everywhere inside a charged conductor. |
1. \(\mathrm{C,D~\text{and}~E}~\text{only}\)
2. \(\mathrm{A,B~\text{and}~D}~\text{only}\)
3. \(\mathrm{A,C~\text{and}~D}~\text{only}\)
4. \(\mathrm{A,C~\text{and}~E}~\text{only}\)
Subtopic: Electrostatic Shielding |
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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. \(150~\text{nm}\)
3. \(100~\text{nm}\)
4. \(50~\text{nm}\)
(take Planck's constant as \(6.6\times 10^{-34}\) J-s)
1. \(200~\text{nm}\)
2. \(150~\text{nm}\)
3. \(100~\text{nm}\)
4. \(50~\text{nm}\)
Subtopic: Photoelectric Effect: Experiment |
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In the first excited state of hydrogen atom, the energy of its electron is \(-3.4~\text{eV}.\) The radial distance of the electron from the hydrogen nucleus in this case is approximately:
(take \(1\text{ eV} = 1.6 \times 10^{-19}\text{ J}\), \(e = 1.6 \times 10^{-19}\text{ C}\) and \(\dfrac{1}{4\pi\varepsilon_0} = 9 \times 10^9\text{ N m}^2/\text{C}^2\))
1. \(2.1 \times 10^{-8}\text{ m}\)
2. \(2.1 \times 10^{-11}\text{ m}\)
3. \(2.1 \times 10^{-9}\text{ m}\)
4. \(2.1 \times 10^{-10}\text{ m}\)
(take \(1\text{ eV} = 1.6 \times 10^{-19}\text{ J}\), \(e = 1.6 \times 10^{-19}\text{ C}\) and \(\dfrac{1}{4\pi\varepsilon_0} = 9 \times 10^9\text{ N m}^2/\text{C}^2\))
1. \(2.1 \times 10^{-8}\text{ m}\)
2. \(2.1 \times 10^{-11}\text{ m}\)
3. \(2.1 \times 10^{-9}\text{ m}\)
4. \(2.1 \times 10^{-10}\text{ m}\)
Subtopic: Bohr's Model of Atom |
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Two statements are given below:
Choose the correct answer from the options given below:
| \((\mathrm{A})\) | When the forward bias voltage across a \(\mathrm{p\text{-}n}\) junction diode increases above a certain threshold voltage, the diode current increases significantly. |
| \((\mathrm{B})\) | This current is called reverse saturation current. |
| 1. | Both Statements \((\mathrm{A})\) and \((\mathrm{B})\) are False. |
| 2. | Statement \((\mathrm{A})\) is True, but Statement \((\mathrm{B})\) is False. |
| 3. | Both Statements \((\mathrm{A})\) and \((\mathrm{B})\) are True. |
| 4. | Statement \((\mathrm{A})\) is False, but Statement \((\mathrm{B})\) is True. |
Subtopic: PN junction |
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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. \(\dfrac{\sqrt{7}}{2}\)
2. \(\dfrac{7}{2}\)
3. \(\dfrac{7}{4}\)
4. \(\dfrac{2}{\sqrt{7}}\)
(atomic mass of argon \(=40.0~\text{u}\) and molecular mass of chlorine\(=70.0~\text{u}\))
1. \(\dfrac{\sqrt{7}}{2}\)
2. \(\dfrac{7}{2}\)
3. \(\dfrac{7}{4}\)
4. \(\dfrac{2}{\sqrt{7}}\)
Subtopic: Types of Velocities |
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Match List-I with List-II:
Choose the correct answer from the options given below
1. A - I, B - III, C -IV, D - II
2. A - II, B - IV, C - III, D - I
3. A - II, B - III, C - I, D - IV
4. A - II, B - III, C - IV, D - I
| List-I | List-II | ||
| A. |  |
I. | (i) Oleum; (ii) NaOH, \(\Delta\); (iii) \(H^+\) |
| B. |  |
II. | (i) \(O_2\); (ii) \(H_2O/H^+\) |
| C. |  |
III. | (i) \(CH_3OH, H^+; \) (ii) \(H_2, \text{catalyst}\) |
| D. |  |
IV | (i) Conc. \(H_2SO_4, \Delta;\) (ii) \(H^+/H_2O\) |
1. A - I, B - III, C -IV, D - II
2. A - II, B - IV, C - III, D - I
3. A - II, B - III, C - I, D - IV
4. A - II, B - III, C - IV, D - I
Subtopic: Alcohols: Preparation & Properties | Mechanism of Dehydration, Methanol & Ethanol | Phenols: Preparation & Properties |
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The major product Z formed in the following sequence of reactions is:
\(\small[C_2H_6 \xrightarrow[UV\ light]{Cl_2} X \text{ (monochlorinated product)} \xrightarrow{NH_3} Y \xrightarrow[(ii)\ H_2O]{(i)\ NaNO_2,\ HCl} Z\)
\(\small[C_2H_6 \xrightarrow[UV\ light]{Cl_2} X \text{ (monochlorinated product)} \xrightarrow{NH_3} Y \xrightarrow[(ii)\ H_2O]{(i)\ NaNO_2,\ HCl} Z\)
| 1. | \(C_2H_5 - N = N - OH\) |
| 2. | \(C_2H_5O H\) |
| 3. | \(C_2H_5NO_ 2\) |
| 4. | \(C_2H_5NH_2\) |
Subtopic: Diazonium Salts: Preparation, Properties & Uses | Mechanism |
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In a qualitative analysis, \(Bi^{3+}\) is detected by the appearance of a precipitate of \(BiO(OH)(s)\).
Calculate pH when the following equilibrium exists at 298 K :
\(BiO(OH)(s) \rightleftharpoons BiO^+(aq) + OH^-(aq)\),
\(K = 4 \times 10^{-10}\)
(Given : \(\log 2 = 0.3010\))
1. 4.699
2. 8.714
3. 9.301
4. 5.286
Calculate pH when the following equilibrium exists at 298 K :
\(BiO(OH)(s) \rightleftharpoons BiO^+(aq) + OH^-(aq)\),
\(K = 4 \times 10^{-10}\)
(Given : \(\log 2 = 0.3010\))
1. 4.699
2. 8.714
3. 9.301
4. 5.286
Subtopic: pH calculation |
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When \(1 \text{ dm}^3\) of \(\text{CO}_2\) gas is passed over hot coke, the volume of gaseous mixture after complete reaction at STP becomes \(1.4 \text{ dm}^3\). The composition of the gaseous mixture at STP is :
| 1. | \(0.6 \text{ dm}^3\) of \(\text{CO},\) \(0.8 \text{ dm}^3\) of \(\text{CO}_2\) |
| 2. | \(0.8 \text{ dm}^3\) of \(\text{CO},\) \(0.8 \text{ dm}^3\) of \(\text{CO}_2\) |
| 3. | \(0.8 \text{ dm}^3\) of \(\text{CO},\) \(0.6 \text{ dm}^3\) of \(\text{CO}_2\) |
| 4. | \(0.6 \text{ dm}^3\) of \(\text{CO},\) \(0.4 \text{ dm}^3\) of \(\text{CO}_2\) |
Subtopic: Moles, Atoms & Electrons | Concentration Based Problem |
Level 3: 35%-60%
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Match the following:
Choose the correct answer from the options given below :
1. A-II, B-III, C-IV, D-I
2. A-I, B-II, C-III, D-IV
3. A-IV, B-II, C-III, D-I
4. A-II, B-III, C-I, D-IV
| List-I (Quantum Numbers) |
List-II (Orbital) |
|||
| 'n' | 'l' | |||
| A. | 2 | 1 | I. | 3d |
| B. | 4 | 0 | II. | 2p |
| C. | 5 | 3 | III. | 4s |
| D. | 3 | 2 | IV. | 5f |
Choose the correct answer from the options given below :
1. A-II, B-III, C-IV, D-I
2. A-I, B-II, C-III, D-IV
3. A-IV, B-II, C-III, D-I
4. A-II, B-III, C-I, D-IV
Subtopic: Quantum Numbers & Schrodinger Wave Equation |
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