1
AIPMT 2012 Mains
+4
-1
The equation of a simple harmonic wave is given by

y = 3 sin$${\pi \over 2}$$(50t $$-$$ x),

where x and y are in metres and t is in seconds. The ratio of maximum particle velocity to the wave velocity is
A
2$$\pi$$
B
$${3 \over 2}\pi$$
C
$$3\pi$$
D
$${2 \over 3}\pi$$
2
AIPMT 2012 Prelims
+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
$${1 \over {\sqrt v }} = {1 \over {\sqrt {{v_1}} }} + {1 \over {\sqrt {{v_2}} }} + {1 \over {\sqrt {{v_3}} }}$$
3
AIPMT 2012 Prelims
+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.
4
AIPMT 2011 Mains
+4
-1
Two identical piano wires, kept under the same tension T have a fundamental frequency of 600 Hz. The fractional increase in the tension of one of the wires which will lead to occurrence of 6 beats/s when both the wires oscillate together would be
A
0.01
B
0.02
C
0.03
D
0.04
EXAM MAP
Medical
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