AIEEE old paper set 1

AIEEE old paper set 1
Question:-
Option (A)
5.5 cm
Option (B)
2.5 cm
Option (C)
11.0 cm
Option (D)
8.5 cm
Correct Option:
A
Question Solution:
(1/2) (2) (4)2 = (1/2) (10000)x2 + (15) x, 16=5000x2 + 15x, 5000x2 +15x-16=0
X=(-15+Ö(225+320,000))/(2 x 5000) m , x» (550/(2 x 50)) cm , x» 5.5 cm
Question:-
Option (A)
90.0 g mol-1
Option (B)
115.0 g mol-1
Option (C)
105.0 g mol-1
Option (D)
210.0 g mol-1
Correct Option:
D
Question Solution:
Since the two solutions are isotonic, their concentrations will be same. ` C1 =C2; (5.25/M) =(1.5/60); M=210 mol-1
Question:-
Option (A)
1
Option (B)
2
Option (C)
1/4
Option (D)
1/2
Correct Option:
D
Question Solution:
Work done by battery= (CV) V=CV2
=(1/2) ,CV2
Energy stored in capacitor
(Energy stored in Capacitor )/(Work done by battery) = {(1/2)CV2 / CV2} =(1/2)
Question:-
Option (A)
mF/M
Option (B)
(M+m)F/m
Option (C)
mF/(m+M)
Option (D)
MF/(m+M)
Correct Option:
C
Question Solution:
In the question the state of spring is not mentioned. We are assuming acceleration of both blocks to be same.

a=(F/(M+m)) Force on m = (mF/(m+M))
Question:-
Option (A)
12 kg and 13 kg
Option (B)
5 kg and 5 kg
Option (C)
5 kg and 12 kg
Option (D)
5 kg and 13 kg
Correct Option:
C
Question Solution:

T2 cos θ + T1 sin θ = mg
T2 sin π + T1 cos π T2 = mg cos π
T1 = mg sin π ; tan π =(5/12)
T1 = (13kg) (5/13) = 5kg ; T2 = (13kg) (12/13) = 12kg
So tension in the strings are 5 kg and 12 kg.
Question:-
Option (A)
99 J
Option (B)
90 J
Option (C)
100 J
Option (D)
1 J
Correct Option:
B
Question Solution:
(W/Q1) =(1/10) Þ Q1 =10W

Q2 = 10W,
If same carnot engine is used as refrigerator then So Q1 = 9W=90J