AIEEE old paper set 4

AIEEE old paper set 4
Question:-
Option (A)

29.5

Option (B)

59.0

Option (C)

47.4

Option (D)

23.7

Correct Option:
D
Question Solution:

Equation of NH3
= (0.1 x 20) -(0.1x15) = 0.5
wt of NH3
= 0.5 x 17 = 8.5mg
wt. of 'N'
= (14/17) x 8.5 mg = 7 mg
% of ‘N’ = (7/29.5) x 100 = 23.7

Question:-
Option (A)
0.25
Option (B)
0.5
Option (C)
0.75
Option (D)
0.99

Correct Option:
C
Question Solution:
h = {1-(T2/T1)}
\ T1V1l-1 = T2V2l-1
\ (T2/T1) = (V1/V2)l-1 = (1/32)l-1
Putting l = 7/5
h = {1-(1/4)} = 3/4 = 0.75
Question:-
Option (A)
-i^ + j^ - 2k^
Option (B)
2i^ - j^ + 2k^
Option (C)
i^ - j^ - 2k^
Option (D)
i^ + j^ - 2k^
Correct Option:
A
Question Solution:
Let b = b1i^ + b2j^ + b3k^
Given `a. `b = 3
b2 - b3 = 3 (1)
And `a x `b + `c = 0
`a x `b = -`c

b3 + b2 = – 1 (2)
– b1 =1 ----- (3)
– b1 = 1 ------(4)
b1 = – 1
from (1) and (2)
b2 = 1
b3 = – 2
`b = - i^ +j^ -2k^
Question:-
Option (A)
30°
Option (B)
45°
Option (C)
60°
Option (D)
75°
Correct Option:
C
Question Solution:
cos2 a+ cos2 + cos2 l= 1
Cos2 45° + cos2 120° + cos2 l= 1
(1/2) + (1/4) + cos2 l = 1
cos2 l = (1/4)
cos l = ¹ 1/2

l = 60°
Question:-
Option (A)
y2 = x2 + constant
Option (B)
y = x2 + constant
Option (C)
y2 = x + constant
Option (D)
xy = constant
Correct Option:
A
Question Solution:
`v = kyi^ + kxj^
Þ (dx/dt) = ky, (dy/dt) = kx
\ (dy/dx)=(x/y) Þ ∫ ydy = ∫ x dx
Y2 = x2 cons tant