match is
(a)I S II R III Q IV T , , ,
(b) I Q II R III P IV U , , ,
(c) I Q II S III R IV U , , ,
(d) I Q II R III S IV U , , ,
SECTION-1
- (c,d) 2. (b,c&d) 3. (a,b) 4. (b)
- (a,d) 6. (a,c,d) 7. d 8. (a,c)
SECTION-2
- 0.69 2. 1 3. 1.5 4. 135
- 4 6. 0.63
SECTION-3
- b 2. c 3. d 4. d
SECTION-1
SECTION-2
SECTION-3
SECTION-1
1.Sol: R>> dipole size
So the circle is equipotential
So,
2.Sol:
EnetShould beto surface so
1/3
0 0
3 0
(^404) 0 0
p p
E r
r E
At point B net electric field will be zero.
EB 0
(^3000)
2
( )A Net 3
kp
E E E
r
Electric field at point A 0
(^3) ˆ ˆ
[ ]
A 2
E E i j
( ) 0EB Net
K U 0
2
0
1
2
I U
2
(^12)
2 3 4
ML L
Mg
3
2
g
L
2
radial 0
3 3
2 2 2 4
L g L g
a I
L
2
sin60 3 3
2
4
3
L
Mg g
L L
M
The acceleration of CM of the rod along
vertical direction is
sin60^2 cos60
v 2 2
L L
a
^
3 3 3 3
v 8 2 8
g g
a
^
SECTION-1
1.Sol:
2.Sol:
15
v 16
g
a