IIT Problems

1. The correct increasing order of extent of hydrolysis in the following is : 

(a) CCl4 < MgCl2 < AlCl3 < SiCl4 < PCl5 

(b) CCl4 < AlCl3 < MgCl2 < PCl5 < SiCl4

(c) AlCl3 < MgCl2 < CCl4 < PCl5 < SiCl4 

(d) SiCl4 < MgCl2 < AlCl3 < PCl5 < CCl4 

Answer: (a) 

2. A 10 H inductor carries a current of 20 A . How much ice at 0° C could be melted by the energy stored in the magnetic field of the inductor ? ( Latent heat of ice is 80 cal/g ) . 

(a) 6 kg 

(b) 6 g 

(c) 3 kg 

(d) 3 g 

Answer: (b) 

3. The value of a for which the point ( a , a + 2) is an interior point of the smaller segment of the circle x^2 + y^2 - 4 = 0 made by the chord whose equation is 3x + 4y + 12 = 0 , is 

(a) ( -infinity , -20/7 ) 

(b) ( -2, 0 ) 

(c) ( - infinity , -20/7 ) U ( -2, 0 ) 

(d) none of these 

Answer : (d) 

4. Which of the following is an example of fibrous protein ? 

(a) Insulin 

(b) Haemoglobin 

(c) Fibroin 

(d) Glycogen 

Answer: (c) 

 

5. Alpha D (+) glucose and  beta D (+) glucose are : 

 (a) Geometrical isomers

 (b) Enantiomers

 (c) Anomers

 (d) Optical isomers

Answer: (c) 

6. The disease albinism is caused by the deficiency of enzyme : 

 (a) Trypsin 

 (b) Tyrosinase 

 (c) Phenylalanine hydroxylase 

 (d) None of these 

Answer: (b) 

7. The number of points at which the function 

    f(x) =  | x - 0.5 | + | x - 1 | + tanx does not have a derivative in the interval ( 0, 2) is 

(a) 1 

(b) 2 

(c) 3 

(d) 4 

Answer: (c) 

8. The period of f(x) = | sinx | + | cosx | is 

(a) 2π 

(b) π 

(c) π/2 

(d) 3π/2 

Answer: (c) 

9. The area bounded by the parabola y^2 = x , the line y = 4 and the y axis is : 

 (a) 16/3 

 (b) 32/3 

 (c) 64/3 

 (d) 128/3 

Answer: (c) 

10. Solids expands on heating because

 (a) Kinetic energy of the atoms increases 

 (b) Potential energy of the atoms increases 

 (c) Total energy of the atoms increases 

 (d) The potential energy curve is asymmetric about the equilibrium distance between neighbouring atoms 

Answer: (d)