Vector Algebra: Mathematics MCQ

 

• Answers are in BOLD Option name.
• Click here for HSC Vectors MCQ.
  

Q.1. The vector   lies in the plane of the vectors  and bisect the angle between  . Then which one of the following gives possible values of     (AIEEE 2008) 

A) 

B) 

C) 

D)  

Q2. If 4i+7j+8k, 2i+3j+4k and 2i+5j+7k are the position vectors of the vertices A,B and C respectively of triangle ABC. The position vectors of the point where the bisectors of angle A meets BC is... (Pb. CET 2004)

A) 

B) 

C) 

D)  

Q.3. Direction of a reciprocal vector of a vector  is    ( MP PET 2013)

a) Same as that of 

B) Opposite to 

C) Perpendicular to 

D) None of these

Q.4. If  , then 

A) 6

B) 7

C) 9

D) 10

Explanation-

             

Q.5. If the position vector of three points are  then the three points are 

A) Collinear 

B) Non-coplanar

C) Non-collinear

D) Non of these 

Explanation-

Let P,Q, R be the given points. Then, we have 

                   QR=-2PQ

Hence, P,Q and R are collinear.

Q.6. If the vectors  are collinear then find the value of  

A) 4

B) 6

C) 8

D) 10

Explanation-

 

Q.7. If the origin is the centroid of the triangle whose vertices are A (a, 2, -1) , B (5, b, 2) and C (-3, 1, (C) then find the values of a , b and c .

A) a = 2 , b = 3 , c = 1

B) a = 1 , b = 2 , c = 3

C) a = - 2 , b = - 3 , c = 1

D) a = 2 , b = 3 , c = 1

Explanation-

 

Q.8. If O be the origin and the position vector of A be 4 i +5 j , then a unit vector parallel to  is

A) 

B) 

C) 

D)  

Explanation-

 

Q.9. If  then find  

A) 8

B) 10

C) 14

D) 20

Explanation-

We have, 

 

Q.10. Find the vector of magnitude 3 units which is parallel to  .

A) 2/5 ()

B) 3/5()

C) 7/5()

D) 3/5()

Explanation-

  

                              

Hydrogen: chemistry

• Answers are in BOLD Option name.

 Q.1.  When CO  is bubbled through a solution of barium peroxide in water 

A) O is released 

B) Carbonic acid is formed 

C) HO is formed 

D) no reaction occurs 

Explanation-

 

Q.2.  The hydrogen molecule is not very reactive under normal conditions because 

A) Hydrogen has a large number of isotopes 

B) The corresponding  value is very low 

C) The bond dissociation energy of  the hydrogen molecule is high 

D) The hydrogen molecule has a low activation energy 

Explanation-

High bond dissociation energy of hydrogen molecule explains its less reactive nature.

Q.3.  Decomposition of   can be prevented by addition of

A) Acetanilide

B) Benzene

C) Alkali metal oxide 

D) MnO 

Explanation-

Acetanilide acts as stabilizer for .

Q.4. Which is the correct order of boiling point of VA, VIA and VIIA hydride ?

A) 

B) 

C) HF > HI > HBr > HCI

D) All of the above are correct 

Q.5.   HCI is added to following oxides . Which one would give  ?

A) MnO

B) PbO

C) BaO

D) None of the above 

Explanation-

Only peroxides on action of dil. acid gives  

Q.6.  Which of the following ions will cause hardness in water sample ?

A) Na

B) K 

C) Br 

D) Ca 

Explanation-

Soluble Salts of calcium can cause hardness in water.

Q.7.  In context with the industrial preparation of hydrogen from water gas (CO+H) , which of the following is the correct statement ?

A) CO is oxidized to CO with steam in the presence of a catalyst followed by absorption of CO in alkali .

B) CO and H are fractionally separated using differences in their densities.

C) CO is removed by absorption in aqueous CuCl solution .

D) H is removed through occlusion with Pd

Q.8.  A dilute solution of   can be concentrated by 

A) Drying it over anhydrous CaCl

B) Drying it over concentrated HSO

C) Drying it over anhydrous MgSO 

D) Heating it under reduced pressure 

Explanation-

A dilute solution of  can be concentrated by heating (distillation) under reduced pressure.

Q.9. Hydrides of metals are named like 

A) alkane 

B) alkene

C) alkyne

D) None is correct

Q.10. Consider the following statements : 

I : Rate of transfer  of D  from DO  is  slower then that of H b from HO

II :  K for CHCOOH  CHCOO  + H

III : Tritium is a  radioactive isotope . Select the correct statements .

A) I , II 

B) II , III 

C) I , III 

D) I, II , III