## Wednesday, October 24, 2007

### JEE Physics Matix Match Type Questions

web sites
Measurements
http://plasma4.sr.unh.edu/ng/phys407/phys407-6-13-05.pdf

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JEE 2007 Paper I
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Q.I. Some physical quantities are given in column I and some possible SI units in which these
quantities may be expressed are given in column II. Match the physical quantities in column I
with the units in Column II and indicate your answer by darkening appropriate bubbles in the 4 ×
4 matrix given in the ORS.
Column I

==================================================
A.
GM-e M-s ------ ---[ P. (volt) (coulomb) (metre)]

G – universal gravitational constant,
M-e – mass of the earth
M-s – Mass of the Sun
==================================================
B.
3RT/M --------------[Q. (kilogram)(metre^3)(second^-2)]

R – universal gas constant
T – absolute temperature
M – molar mass
==================================================
C.
F^2/(B^2Q^2)------------------------------[R. (metre^2)(second^-2)]

F – force
Q – charge
B – magnetic field
=================================================
D

G – universal gravitational constant,
M-e – mass of the earth
R-e – radius of the earth
=================================================

(A) -- (P), (Q)
(B) -- (R), (S)
(C) -- (R) , S
(D) -- R, S
----------------------------------------------------------------

Q.II. Column I gives certain situations in which a straight metallic wire of resistance R is used and column II gives some resulting effects. Match the statement in column I with the statements in column II and indicate your answer by darkening appropriate bubbles in the 4 × 4 matrix given in the ORS.

================================
Column I -----------------------------Column II
(A to D) -----------------------------(P to S)
==========================================================
(A) A charged capacitor is ---(P) A constant current flows
connected to------------------through the wire
the ends of the wire
===========================================================
(B)The wire is moved ----------(Q) thermal energy
perpendicular to its length -------generated in the wire
length with a constant
velocity in a uniform magnetic field
perpendicular to the plane of motion
===========================================================
(C)
The wire is placed in a -----------(R) A constant potential
constant electric field ---------- difference develops
that has direction-----------------between the ends of
along the length of the wire-------the wire

============================================================
(D) A battery of constant ----------(S) Charges of constant
emf is connected to the --------------- magnitude appear
ends of the wire-----------------------at the ends of the wire
============================================================

Solution
(A) -- (Q)
(B) -- (R), (S),
(C) -- (S)
(D) -- (P), (Q) , (R)
-----------------------------------------------------

Q. III.

Some laws/ processes are given in Column I. Match these with physical phenomena given in Column II and indicate your answer by darkening appropriate bubbles in the 4 × 4 matrix given in the ORS.

---Column I ------------------------Column II

A. Transition between -----------P.Characteristic X-rays
two atomic energy----------------
levles

B. Electron emission-------------Q. Photoelectric effect
from a material------------------

C. Mosley’s law------------------R. Hydrogen spectrum

D. Change of photon--------------S. β – decay
energy into kinetic--------------
energy of electrons--------------

===================

Solution

(A) -- (P), (R)
(B) ® (Q), (S),
(C) ® (P)
(D) ® (Q)
-----------------------------------
Q.4 JEE 2007 paper II

Column I gives some devices and Column II gives some processes on which the functioning of these devices depend. Match the devices in Column I with the processes in Column II and indicate your answer by darkening appropriate bubbles
in the 4 × 4 matrix given in the ORS.
--------Column I--------------Column II
(A) Bimetallic strip-----(P)Radiation from a hot body
(B) Steam engine-------- (Q)Energy conversion
(C) Incandescent lamp----(R) Melting
(D) Electric fuse--------(S) Thermal expansion of solids

Solution:

(A) – (S)
(B) – (Q)
(C) – (P), (Q)
(D) – (R), (Q)

(A) Bimetallic strip works on the principle of thermal expansion of solids.
(B) Steam engine converts steam energy into mechanical energy.
(C) Incandescent lamp works on the principle of radiation of body due to temperature.
(D) Electric fuse is a safety device which does not allow current more than its permissible value.
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Q5. JEE 2007 Paper II

Column I describes some situations in which a small object moves. Column II describes some characteristics of these motions. Match the situations in Column I with the characteristics in Column II and indicate your answer by darkening
appropriate bubbles in the 4 × 4 matrix given in the ORS.

Column I is give first totally. and then Column II is given next.

A. The object moves on the x-axis under a conservative force in
such a way that its “speed” and “position” satisfy
v =c1*SQRT(c2-x^2), where c1 and c2 are positive constants.

B. The object moves on the x-axis in such a way that its velocity
and its displacement from the origin satisfy kx v − = , where k
is a positive constant.

C. The object is attached to one end of a mass less spring of a
given spring constant. The other end of the spring is attached
to the ceiling on an elevator. Initially everything is at rest. The
elevator starts going upwards with a constant acceleration a.
The motion of the object is observed from the elevator during
the period it maintains this acceleration.

D.The object is projected from the earth’s surface vertically
upwards with a speed SQRT(GM-e/R-e) , where, M-e is the mass
of the earth and R-e is the radius of the earth. Neglect forces
from objects other than the earth.

Column II

(P) The object executes a simple harmonic
motion.
(Q) The object does not change its direction
(R) The kinetic energy of the object keeps on
decreasing
(S) The object can change its direction only once.

Solution:

(A) – (P)
(B) – (Q), (R)
(C) – (P)
(D) – (Q), (R)
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