1
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
$${1 \over {\sqrt v }} = {1 \over {\sqrt {{v_1}} }} + {1 \over {\sqrt {{v_2}} }} + {1 \over {\sqrt {{v_3}} }}$$
2
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.
3
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
4
AIPMT 2011 Prelims
+4
-1
Two waves are represented by the equations
y1 = $$a$$sin($$\omega$$t + kx + 0.57) m and
y2 = acos($$\omega$$t + kx) m, where x is in meter and t $$in$$ sec. The phase difference between them is
A
B
C
D