Question Paper JEE Advances

1. The quadratic equation p(x) = 0 with real coefficients has purely imaginary roots. Then the equation p[p(x)] = 0 has
(a) only purely imaginary roots
(b) all real roots
(c) two real two purely imaginary roots
(d) two real and two purely imaginary roots               
Ans (d)
2. Six cards and six envelopes are numbered 1, 2, 3, 4, 5, 6 and cards are to be placed in envelopes so that each envelope contains exactly one card and no card is placed in the envelope bearing the same number and moreover the card numbered 1 is always placed in envelope numbered 2. Then, the number of ways it can be done is
(a) 264                                                 
(b) 265
(c) 53                                                    
(d) 67                                                     
Ans (c)
3. Three boys and two girls stand in a queue. The probability that the number of boys ahead of every girl is atleast one more than the number of girls ahead of her, is
(a) 1/2                                                                  
(b) 1/3
(c) 2/3                                                                  
(d) 3/4                                              
Ans (a)
4. The correct statement with respect to product Y is
(a) It gives a positive Tollen’s test and is a functional isomer of X
(b) It gives a positive Tollen’s test and is a geometrical isomer of X
(c) It gives a positive iodoform test and is a functional isomer of X
(d) It gives a positive iodoform test and is a geometrical isomer of X                                 
Ans (c)
5. The experimental value of d is found to be smaller than the estimate obtained using Graham’s law. This due to
(a) larger mean free path for X as compared of that of Y
(b) larger mean free path for Y as compared of that of Y
(c) increased collision frequency of Y with the inert gas as compared to that of X with the inert gas
(d) increased collision frequency of X with inert gas as compared to that of Y with the inert gas          
Ans (d)
6. The value of d in cm (shown in the figure), as estimated from Graham’s law, is
(a) 8                                                                      
(b) 12
(c) 16                                                                    
(d) 20                                                           
Ans (c)
7. Hydrogen peroxide in its reaction with KIO4 and NH2OH respectively, is acting as a
(a) reducing agent, oxidizing agent
(b) reducing agent, reducing agent
(c) oxidizing agent, oxidizing agent
(d) oxidizing agent, reducing agent            
Ans (a)
8. The product formed in the reaction of SOCl2 with white phosphorus is
(a) PCl3                                                                
(b) SO2Cl2
(c) SCl2                                                                 
(d) POCl3                                                 
Ans (a)
9. If the piston is pushed out at a speed of 5 mms-1 the air comes out of the nozzle at the speed of
(a) 0.1 ms-1                                                         
(b) 1 ms-1
(c) 2 ms-1                                                                                            
(d) 8 ms-1                                                   
Ans (c)
10. Now consider the partition to be free to move without friction so that the pressure of gasses in both compartments is same. Then total work done by the gasses till the time they achieve equilibrium will be
(a) 250R                                                               
(b) 200R
(c) 100R                                                               
(d) -100R                                                        
Ans (d)
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