1
AIPMT 2012 Prelims
MCQ (Single Correct Answer)
+4
-1
Change Language
When a string is divided into three segments of length $$l$$1, $$l$$2 and $$l$$3 the fundamental frequencies of these three segments are $${\upsilon _1},{\upsilon _2}$$ and $${\upsilon _3}$$ respectively. The original fundamental frequency ($$v$$) of the string is
A
$$\sqrt v = \sqrt {{v_1}} + \sqrt {{v_2}} + \sqrt {{v_3}} $$
B
$$v = {v_1} + {v_2} + {v_3}$$
C
$${1 \over v} = {1 \over {{v_1}}} + {1 \over {{v_2}}} + {1 \over {{v_3}}}$$
D
$${1 \over {\sqrt v }} = {1 \over {\sqrt {{v_1}} }} + {1 \over {\sqrt {{v_2}} }} + {1 \over {\sqrt {{v_3}} }}$$
2
AIPMT 2012 Prelims
MCQ (Single Correct Answer)
+4
-1
Change Language
A milli voltmeter of 25 milli volt range is to be converted into an ammeter of 25 ampare range. The value (in ohm) of neccessary shunt will be
A
0.001
B
0.01
C
1
D
0.05
3
AIPMT 2012 Prelims
MCQ (Single Correct Answer)
+4
-1
Change Language
An alternating electric field, of frequency $$v$$, is applied across the does (radius = R) of a cyclotron that is being used to accelerate protons (mass = m). The operating magnetic field (B) used in the cyclotron and the kinetic energy (K) of the proton beam, produced by it, are given by
A
$$B = {{m\upsilon } \over e}$$  and  $$K = 2m{\pi ^2}{\upsilon ^2}{R^2}$$
B
$$B = {{2\pi m\upsilon } \over e}$$  $$K = {m^2}\pi \upsilon {R^2}$$
C
$$B = {{2\pi m\upsilon } \over e}$$  $$K = 2m{\pi ^2}{v^2}{R^2}$$
D
$$B = {{m\upsilon } \over e}$$  $$K = {m^2}\pi \upsilon {R^2}$$
4
AIPMT 2012 Prelims
MCQ (Single Correct Answer)
+4
-1
Change Language
What is the flux through a cube of side $$a$$ if a point charge of q is at one of its corner?
A
$${{2q} \over {{\varepsilon _0}}}$$
B
$${q \over {8{\varepsilon _0}}}$$
C
$${q \over {{\varepsilon _0}}}$$
D
$${q \over {2{\varepsilon _0}}}6{a^2}$$