MCQs JEE Advance

1. The diameter of a cylinder is measured using a Vernier calipers with no zero error. It is found that the zero of the Vernier scale lies between 5.10 cm and 5.15 cm of the main scale. The Vernier scale has 50 division equivalent to 2.45 cm. The 24th division of the Vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder is
(a) 5.112 cm                                                        
(b) 5.124
(c) 5.136                                                               
(d) 5.148                                                                                              
Ans (b)
2. One end of a horizontal thick copper wire of length 2L and radius 2R is welded to an end of another horizontal thin copper
wire of length L and radius R. When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in
the thin wire to that in the thick wire is  
(a) 0.25                                                                 
(b) 0.50
(c) 2.00                                                                 
(d) 4.00                                                                                                 
Ans (c)
3. A pulse of light of duration 100 ns is absorbed completely by a small object initially at rest. Power of the pulse is 30 mV and the speed of light is 3 x 108 ms-1. The final momentum of the object is
(a) 0.3 x 10-17 kg-ms-1
(b) 1.0 x 10-17 kg-ms-1
(c) 3.0 x 10-17 kg-ms-1
(d) 9.0 x 10-17 kg-ms-1                                                                                                                                                      
Ans (b)
4. Two non-reactive monoatomic ideal gases have their atomic masses in the ratio 2 : 3. The ratio of their partial pressures, when enclosed in a vessel kept at a constant temperature, is 4 : 3. The ratio of their densities is
(a) 1 : 4                                                                 
(b) 1 : 2
(c) 6 : 9                                                                  
(d) 8 : 9                                                                                                 
Ans (d)
5. A horizontal stretched string, fixed at two ends are vibrating in its fifth harmonic according to the equation, y(x, t) = (0.01 m)
[sin(62.8 m-1)x] cos [(628 s-1)t]. Assuming 𝜋  = 3.14, the correct statement(s) is(are)
(a) the number of nodes is 5
(b) the length of the string is 0.25 m
(c) the maximum displacement of the mid-point of the string from its equilibrium position is 0.01 m
(d) the fundamental frequency is 100 Hz                                                                                                               
Ans (b,c)
6. The standard enthalpies of formation of CO2(g), H2O(l) and glucose(s) at 25°C are -400 kJ/mol, -300 kJ/mol and -1300 kJ/mol and standard enthalpy of combustion per gram of glucose at 25°C is
(a) +2900 kJ                                                        
(b) -2900 kJ
(c) -16.11 kJ                                                        
(d) + 16.11 kJ                                                                                     
Ans (c).   
7. The compound that does not liberate CO2, on treatment with aqueous sodium bicarbonate solution, is
(a) benzoic acid
(b) benzenesulphonic acid
(c) salicylic acid
(d) carbolic acid (Phenol)                                                                                                                                              
Ans (d)
8. Consider the following complex ions, P, Q and R. P = [FeF6]3-, Q = [V(H2O)6]2+ and R = [Fe(H2O)6]2+ The correct order of the complex ions, according to their spin-only magnetic moment values (in BM) is
(a) R < Q < P                                                       
(b) Q < R < P
(c) R < P < Q                                                        
(d) Q < P < R                                                                                       
Ans (b)
9. Concentrated nitric acid, upon long standing, turns yellow-brown due to the formation of
(a) NO                                                                   
(b) NO2
(c) N2O                                                                 
(d) N2O4                                                                                               
Ans (b)
10. Upon treatment with ammoniacal H2S, the metal ion that precipitates as sulphide is
(a) Fe (III)                                                            
(b) Al (III)
(c) Mg (II)                                                            
(d) Zn (II)                                                                                             
Ans (d)
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