IIT-JEE 2010 - Career Point

6. A block of density ρ is floating in a liquid X kept in
container. A liquid Y of density ρ′ (< ρ) is slowly
poured into container –
(A) The block will move up if liquid X and Y are
immiscible
(B) The block will sink more if liquid X and Y are
immiscible
(C) The block will sink more if liquid X and Y are
miscible
(D) The block will not move if liquid X and Y are
miscible
7. Six identical rod are connected as shown in figure
and temperature difference of 100ºC is maintained
across P and Q –
A
B
C
D
P Q R S T
P
P
P
P
Q
Q
Q
Q
R
R
R
R
S
S
S
S
T
T
T
T
10. There are four identical rod having thermal
resistance 10 Ω, each column I contains various
arrangement of rod. Column II contains current
flowing across point C when a temperature
difference of 100ºC is maintained across A & B.
Match them.
Column-I
Column-II
P A B Q
(A) A
C
B
(P) 2 J/sec
C
(A) Temperature of point 'A' is 50ºC
(B) A
C
B
(Q) 4 J/sec
200
(B) Temperature of point A is ºC
3
(C) Thermal current passing through B is zero
(D) Thermal current passing through A is twice of
that through C
8. A solid iron cylinder A rolls down a ramp and an
identical iron cylinder B slides down the same ramp
without friction –
(A) B reaches the bottom first
(B) A and B have the same kinetic energy
(C) B has greater translational kinetic energy than
that of A
(D) Linear speed of centre of mass of B is greater
than that of A
9. A mass and spring system oscillates with amplitude
A and angular frequency ω –
(A) The average speed during one complete cycle
2Aω
of oscillation is
π
(B) Maximum speed is ωA
(C) Average velocity of particle during one
complete cycle of oscillation is zero
(D) Average acceleration of particle during one
complete cycle of oscillation is zero
This section contains 2 questions (Questions 10 to 11).
Each question contains statements given in two
columns which have to be matched. Statements (A, B,
C, D) in Column I have to be matched with statements
(P, Q, R, S, T) in Column II. The answers to these
questions have to be appropriately bubbled as
illustrated in the following example. If the correct
matches are A-P, A-S, A-T, B-Q, B-R, C-P, C-Q and
D-S, D-T then the correctly bubbled 4 × 5 matrix
should be as follows :
(C) A
(D)
A
C
C
B
B
(R) 6 J/sec
(S) 7
20 J/sec
(T) None
11. A car of mass 500 kg is moving in a circular road
of radius 35 / 3 . Angle of banking of road is
30º. Coefficient of friction between road and tyres
is µ =
1 . Match the following:
2 3
Column-I
Column-II
(A) Maximum speed (in m/s) of (P) 5 2
car for safe turning
(B) Minimum speed (in m/s) of (Q) 12.50
car for safe turning
(C) Speed (in m/s) at which friction (R) 210
force between tyres and road
is zero
(D) Friction force (in 10 2 Newton) (S)
350
3
between tyres and road if
speed is
350 m/s
6
(T) None
XtraEdge for IIT-JEE 64 DECEMBER 2009