IIT-JEE 2010 - Career Point

6. Three identical rods of same material are joined to
form a triangular shape ABC as shown. Angles at
edge A and C are respectively θ 1 and θ 2 as shown.
When this triangular shape is heated then -
A
B
θ 1
(A) θ 1 decreases and θ 2 increases
(B) θ 1 increases and θ 2 decreases
(C) θ 1 increases
(D) θ 2 increases
7. Direction of current in coil (2) is opposite to
direction of current in coil (1) and coil (3). All three
coils are coaxial and equidistant coil (1) and coil (3)
are fixed while coil (2) is suspended thus able to
move freely. Then -
R
θ 2
1
2
3
(A) coil (2) is in equilibrium
(B) equilibrium state of coil (2) is stable
equilibrium along axial direction
(C) equilibrium state of coil (2) is unstable
equilibrium along axial direction
(D) if direction of current in coil (2) is same as that
of coil (1) and coil (3) then state of equilibrium
of coil (2) along axial direction is unstable
8. Which of the following statements are correct about
the circuits shown in the figure where 1 Ω and 0.5
Ω are internal resistances of the 6 V and 12 V
batteries respectively –
P
R
4Ω
6V, 1Ω
R
C
12V, 0.5Ω
Q
0.5Ω
(A) The potential at point P is 6 V
(B) The potential at point Q is – 0.5 V
(C) If a voltmeter is connected across the 6 V
battery, it will read 7 V
(D) If a voltmeter is connected across the 6 V
battery, it will read 5 V
S
R
9. In passing through a boundary refraction will not
take place if -
(A) light is incident normally on the boundary
(B) the indices of refraction of the two media are same
(C) the boundary is not visible
(D) angle of incidence is lesser than angle of
refraction but greater then sin –1 ⎛ µ
⎟ ⎞
⎜
R
⎝ µ D ⎠
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 :
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. Match column I with column II in the light of
possibility of occurrence of phenomena listed in
column I using the systems in column II -
Column-I Column-II
(A) Interference
(B) Diffraction
(C) Polarisation
(D) Reflection
(P) Non-mechanical
waves
(Q) Electromagnetic
waves
(R) Visible light
(S) Sound waves
(T) None
11. Column-I Column-II
(A) 5000 Å (P) De-Broglie wavelength of
electron in x-ray tube
(B) 1 Å
(Q) Photoelectric threshold
wavelength
(C) 0.1 Å (R) x-ray wavelength
(D) 10 Å (S) De-Broglie wavelength of
most energetic photoelectron
emitted from metal surface
(T) None
XtraEdge for IIT-JEE 57 DECEMBER 2009