IIT JEE Sample Questions
IIT JEE Physics Sample Questions
Ques- 1.
Two particles P1 and P2 are moving with velocities v1 and v2 respectively. Which of the following statement about their relative velocity vr12 is true?
a)Vr12 <v1 +v2
b) Vr12 cannot be greater than v1 – v2
c) Vr12 cannot be greater than v1 + v2
d)Vr12 >v1 +v2
Ques- 2.
A ball A is thrown vertically upwards with speed u. At the same instant, another ball B is released from rest at height h. At time t, the speed of A relative to B is:
a) U- 2gt
b) √u2−2gh
c) U – gt
d) U
Ques- 3.
The direction of a vectorA⃗ is reversed. What are the values of ∆A⃗ and ∆|A⃗| ?
a) −2A⃗, 0
b) +2A⃗, 0
c) −A⃗, 0
d) +A⃗, 0
Ques- 4.
A cricketer can throw a ball to a maximum horizontal distance of 100 m. With the same speed how much high above the ground can the cricketer throw the same ball?
a) 100 m
b) 50 m
c) 200m
d) 150m
Ques- 5.
The velocity of projection of a body is increased by 2%. Keeping other factors as constant, what will be the percentage change in the time of flight?
a) 2%
b) 8%
c) 4%
d) 1%
IIT JEE Chemistry Sample Questions
Ques- 1.
Which of the following reactions is an example of nucleophilic substitution reaction?
a) RX + KOH ROH + KX
b) RX + N
RH + HX
c) 2RX + Na R – R + 2NaX
d) RX + Mg RmgX
Ques- 2.
For the following reactions:
CH CH
CH
Br + KOH
CH
CH = CH
+ KBr + H
O
Which of the following statements is correct?
a) (A) is elimination, (B) is the substitution and (C) is the addition reaction.
b) (A) is substitution, (B) and (C) are addition reactions.
c) (A) is elimination, (B) and (C) are substitution reactions.
d) (A) and (B) are elimination reactions and (c) is addition reaction.
Ques- 3.
Which of the following is not a nucleophile?
a) H
b) CH OH
c) NH
d) H O
Ques- 4.
Which of the following cations is most stable?
a) Only (d)
b) Only (a)
c) Only (b)
d) Only (c)
IIT JEE Maths Sample Questions
Ques- 1.
The differential equation of the family of circles whose centres lie on the y-axis is
(1) yy”+ x (1+ y)=0
(2) xy”-y'(1+y”)=0
(3) y’y”- y (1+ y”)=0
(4)y’y”+х(l+y”)=0
Ques- 2.
If the system of linear equations
x+ +2y +3z=6
x+3y +5z =9
2x+ 5y + pz=q
is consistent and has infinite number of solutions, then (p +q) is equal to
(1) 19
(2)21
(3) 23
(4) 25
Ques- 3.
The radius of the circle S, which intersects the circle
S,: 87 + y=4 orthogonally and line x = 1 is the
common chord of both the circles is
(1)4
(2) V3
(3) 2V3
(4) 2
Ques- 4.
If all the letters of the word ‘VECTOR’ are arranged in
rank of the word ‘VECTOR’ is
all possible manner as they are in a dictionary then the
(1) 619th
(2) 629th
(3) 639th
(4) 529th