1
AIEEE 2011
+4
-1
The transverse displacement $$y(x, t)$$ of a wave on a string is given by $$y\left( {x,t} \right) = {e^{ - \left( {a{x^2} + b{t^2} + 2\sqrt {ab} \,xt} \right)}}.$$ This represents $$a:$$
A
wave moving in $$-x$$ direction with speed $$\sqrt {{b \over a}}$$
B
standing wave of frequency $$\sqrt b$$
C
standing wave of frequency $${1 \over {\sqrt b }}$$
D
wave moving in $$+x$$ direction speed $$\sqrt {{a \over b}}$$
2
AIEEE 2010
+4
-1
The equation of a wave on a string of linear mass density $$0.04\,\,kg\,{m^{ - 1}}$$ is given by $$y = 0.02\left( m \right)\,\sin \left[ {2\pi \left( {{t \over {0.04\left( s \right)}} - {x \over {0.50\left( m \right)}}} \right)} \right].$$\$

The tension in the string is

A
$$4.0N$$
B
$$12.5$$ $$N$$
C
$$0.5$$ $$N$$
D
$$6.25$$ $$N$$
3
AIEEE 2009
+4
-1
Three sound waves of equal amplitudes have frequencies $$\left( {v - 1} \right),\,v,\,\left( {v + 1} \right).$$ They superpose to give beats. The number of beats produced per second will be :
A
$$3$$
B
$$2$$
C
$$1$$
D
$$4$$
4
AIEEE 2009
+4
-1
Out of Syllabus
A motor cycle starts from rest and accelerates along a straight path at $$2m/{s^2}.$$ At the starting point of the motor cycle there is a stationary electric siren. How far has the motor cycle gone when the driver hears the frequency of the siren at $$94\%$$ of its value when the motor cycle was at rest? (Speed of sound $$= 330\,m{s^{ - 1}}$$)
A
$$98$$ $$m$$
B
$$147$$ $$m$$
C
$$196\,m$$
D
$$49$$ $$m$$
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