Question Paper JEE Advance

1. A steady current I flows along an infinitely long hollow cylindrical conductor of radius R. This cylinder is placed coaxially inside an infinite solenoid of radius 2R. The solenoid has n turns per unit length and carries a steady current I. Consider a point P at a distance R from the common axis. The correct statement(s) is(are)
(a) In the region 0 < r < R, the magnetic field is non-zero
(b) In the region R < r < 2R, the magnetic field is along thecommon axis
(c) In the region R < r < 2R, the magnetic field is tangential
to the circle of radius r, centered on the axis
(d) In the region r > 2R, the magnetic field is non-zero                                                                   
Ans (a,d)
2. Two vehicles, each moving with speed u on the same horizontal straight road, are approaching each other. Wind blows along the road with velocity w. One of these vehicles blows a whistle of frequency f1. An observer in the other vehicle hears the frequency of the whistle to be f2. The speed of sound in still air is v. The correct statement(s) is(are)
(a) If the wind blows from the observer to the source, f2 > f1
(b) If the wind blows from the source to the observer, f2 > f1
(c) If the wind blows from the observer to the source, f2 < f1
(d) If the wind blows from the source to the observer, f2 > f1                                                     
Ans (a,b)
3. The magnitude of the normal reaction that acts on the block at the point Q is
(a) 7.5 N                                                              
(b) 8.6 N
(c) 11.5 N                                                            
(d) 22.5 N                                                                                           
Ans (a)
4. If the direct transmission method with a cable of resistance 0.4Ω km-1 is used, the power dissipation (in %) during transmission is
(a) 20                                                                    
(b) 30
(c) 40                                                                    
(d) 50                                                                                                   
Ans (b)
5. In the method using the transformers, assume that the ratio of the number of turns in the primary to that in the secondary in the step-up transformer is 1 : 10. If the power to the consumers has to be supplied at 200 V, the ratio of the number of turns in the primary to that in the secondary in the step-down transformer is
(a) 200 : 1                                                            
(b) 150 : 1
(c) 100 : 1                                                            
(d) 50 : 1                                                                                              
Ans (a)
6. The Ksp of Ag2CrO4 is 1.1 x 10-12 at 298 K. The solubility (in mol/L) of Ag2CrO4 in a 0.1 M AgNO3 solution is
(a) 1.1  x 10-11                                                    
(b) 1.1 x 10-10
(c) 1.1 x 10-12                                                     
(d) 1.1 x 10-9                                                                                      
Ans (b)
7. The carbon-based reduction method is not used for the extraction of
(a) tin from SnO2
(b) iron from Fe2O3
(c) aluminium from Al2O3
(d) magnesium from MgCO3, CaCO3                                                                                                       
Ans (c,d)
8. The coloured solution S contains
(a) Fe2(SO4)3                                                     
(b) CuSO4
(c) ZnSO4                                                            
(d) Na2CrO4                                                                       
Ans (d)
9. The succeeding operations that enable the transformation of states are
(a) heating, cooling, heating, cooling
(b) cooling, heating, cooling, heating
(c) heating, cooling, cooling, heating
(d) cooling, heating, heating, cooling                                                                                                                      
Ans (c)
10. The pair of isochoric processes among the transformation of states is
(a) K to L and L to M
(b) L to M and N to K
(c) L to M and M to N
(d) M to N and N to K                                                                                                                                                    
Ans (b)
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