1
JEE Main 2013 (Offline)
+4
-1
A sonometer wire of length $$1.5$$ $$m$$ is made of steel. The tension in it produces an elastic strain of $$1\%$$. What is the fundamental frequency of steel if density and elasticity of steel are $$7.7 \times {10^3}\,kg/{m^3}$$ and $$2.2 \times {10^{11}}\,N/{m^2}$$ respectively ?
A
$$188.5$$ $$Hz$$
B
$$178.2$$ $$Hz$$
C
$$200.5$$ $$Hz$$
D
$$770$$ $$Hz$$
2
AIEEE 2012
+4
-1
A cylindrical tube, open at both ends, has a fundamental frequency, $$f,$$ in air. The tube is dipped vertically in water so that half of it is in water. The fundamental frequency of the air-column is now :
A
$$f$$
B
$$f/2$$
C
$$3/4$$
D
$$2f$$
3
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 $$\sqrt {{a \over b}}$$
4
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
$$6.25$$ $$N$$
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