1
AIPMT 2012 Prelims
MCQ (Single Correct Answer)
+4
-1
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
Two sources of sound placed close to each other, are emitting progressive waves given by
y1 = 4sin600$$\pi $$t and y2 = 5sin608$$\pi $$t
An observer located near these two sources of sound will hear
A
4 beats per second with intensity ratio 25 : 16 between waxing and waning.
B
8 beats per second with intensity ratio 25 : 16 between waxing and waning.
C
8 beats per second with intensity ratio 81 : 1 between waxing and warning.
D
4 beats per second with intensity ratio 81 : 1 between waxing and waning.
3
AIPMT 2012 Prelims
MCQ (Single Correct Answer)
+4
-1
An electric dipole of moment p is placed in an electric field of intensity E. The dipole acquires a position such that the axis of the dipole makes an angle $$\theta $$ with the direction of the field. Assuming that the potential energy of the dipole to be zero when $$\theta $$ = 90o, the torque and the potential energy of the dipole will respectively be
A
pEsin$$\theta $$,  $$-$$pEcos$$\theta $$
B
pEsin$$\theta $$,  $$-$$2pEcos$$\theta $$
C
pEsin$$\theta $$, 2pEcos$$\theta $$
D
pEcos$$\theta $$,  $$-$$pEsin$$\theta $$
4
AIPMT 2012 Prelims
MCQ (Single Correct Answer)
+4
-1
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
$${q \over {2{\varepsilon _0}}}6{a^2}$$
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