Two planets are in a circular orbit of radius \(R\) and \(4R\) about a star. At a specific time, the two planets and the star are in a straight line. If the period of the closest planet is \(T,\) then the star and planets will again be in a straight line after a minimum time:
           

1. \((4)^2T\)
2. \((4)^{\frac13}T\)
3. \(2T\)
4. \(8T\)

Subtopic:  Kepler's Laws |
 63%
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The correct order for boiling points of the following compounds is: 

1. AsH3 > PH3 > NH3 > SbH3 > BiH3
2. BiH3 > SbH3 > NH3 > AsH3 > PH3
3. NH3 > PH3 > AsH3 > SbH3 > BiH3
4. PH3 > NH3 > AsH3 > SbH3 > BiH3
Subtopic:  Group 15 - Preparation, Properties & Uses |
 63%
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Match List-I with List-II:

List-I List-II
(a) 4.48 litres of O2 at STP (i) 0.2 moles
(b) 12.022 × 1022 molecules of H2O (ii) 12.044 × 1023 molecules
(c) 96 g of O2 (iii) 6.4 g
(d) 88 g of CO2 (iv) 67.2 litres at STP
(Given - Molar volume of a gas at STP - 22.4 L)
Choose the correct answer from the options given below:
(a) (b) (c) (d)
1. (i) (iii) (iv) (ii)
2. (iii) (i) (iv) (ii)
3. (iv) (i) (ii) (iii)
4. (iii) (i) (ii) (iv)
Subtopic:  Moles, Atoms & Electrons |
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Given below are two statements:

Statement I: Aldehydes and ketones having at least one \(\alpha\)-hydrogen undergo aldol condensation in the presence of dilute alkali as catalyst.
Statement II: When aldol condensation is carried out between two different aldehydes, it is called cross aldol condensation. Ketones do not give this reaction.

In light of the above statements, choose the most appropriate answer from the options given below:

1. Statement I is correct and Statement II is incorrect.
2. Statement I is incorrect and Statement II is correct.
3. Both Statement I and Statement II are correct.
4. Both Statement I and Statement II are incorrect.
Subtopic:  Name Reaction |
 70%
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Match List-I with List-II:

List-I
Elements
List-II
Atomic radii (pm)
(a) O (i) 88
(b) C (ii) 74
(c) B (iii) 66
(d) N (iv) 77

Choose the correct answer from the options given below:
(a) (b) (c) (d)
1. (ii) (i) (iv) (iii)
2. (iv) (iii) (ii) (i)
3. (i) (iv) (iii) (ii)
4. (iii) (iv) (i) (ii)
Subtopic:  Atomic Size |
 71%
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The correct reaction among the following is:

1.  
2.
3.  
4.  
Subtopic:  Chemical Properties |
 78%
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The number of bridging carbonyl groups in [Co2(CO)8] and [Mn2(CO)10], respectively are:

1. 2 and 0 2. 2 and 2
3. 2 and 4 4. 0 and 2
Subtopic:  Organometallic Complexes & their Uses |
 56%
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LiF is sparingly soluble in water because it has:

1. partial covalent character.
2. small electronegativity.
3. high lattice enthalpy.
4. low hydration enthalpy.

Subtopic:  Reasoning Questions |
 67%
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Match list-I with list-II:

List-I
(Commercial name)
List-II
(Chemical name)
(a) Calgon (i) Sodium aluminium silicate (hydrated)
(b) Permutit (ii) Sodium carbonate
(c) Soap (iii) Sodium hexameta-phosphate
(d) Washing soda (iv) Sodium stearate
 

Choose the correct answer from the options given below:

(a) (b) (c) (d)
1. (i) (iv) (ii) (iii)
2. (iii) (i) (iv) (ii)
3. (ii) (iii) (iv) (i)
4. (iv) (iii) (i) (ii)
Subtopic:  Hard & Soft Water |
 84%
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For the reaction, 2A → B, rates= k[A]2. If the concentration of reactant is doubled, then the:

(a) rate of reaction will be doubled.
(b) rate constant will remain unchanged, however rate of reaction is directly proportional to the rate constant.
(c) rate constant will change since the rate of reaction and rate constant are directly proportional to each other.
(d) rate of reaction will increase by four times.


Identify the set of correct statements & choose the correct answer from the options given below:

1. (a) and (c) only 2. (a) and (b) only
3. (b) and (d) only 4. (c) and (d) only
Subtopic:  Definition, Rate Constant, Rate Law |
 69%
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