1
AIEEE 2004
+4
-1
The displacement $$y$$ of a particle in a medium can be expressed as, $$y = {10^{ - 6}}\,\sin$$ $$\left( {100t + 20x + {\pi \over 4}} \right)$$ $$m$$ where $$t$$ is in second and $$x$$ in meter. The speed of the wave is
A
$$20\,\,m/s$$
B
$$5\,m/s$$
C
$$2000\,m/s$$
D
$$5\,\pi \,m/s$$
2
AIEEE 2003
+4
-1
A metal wire of linear mass density of $$9.8$$ $$g/m$$ is stretched with a tension of $$10$$ $$kg$$-$$wt$$ between two rigid supports $$1$$ metre apart. The wire passes at its middle point between the poles of a permanent magnet, and it vibrates in resonance when carrying an alternating current of frequency $$n.$$ The frequency $$n$$ of the alternating source is
A
$$50$$ $$Hz$$
B
$$100$$ $$Hz$$
C
$$200$$ $$Hz$$
D
$$25$$ $$Hz$$
3
AIEEE 2003
+4
-1
The displacement $$y$$ of a wave travelling in the $$x$$-direction is given by $$y = {10^{ - 4}}\,\sin \left( {600t - 2x + {\pi \over 3}} \right)\,\,metres$$\$
where $$x$$ is expressed in metres and $$t$$ in seconds. The speed of the wave - motion, in $$m{s^{ - 1}}$$, is
A
$$300$$
B
$$600$$
C
$$1200$$
D
$$200$$
4
AIEEE 2003
+4
-1
A tuning fork of known frequency $$256$$ $$Hz$$ makes $$5$$ beats per second with the vibrating string of a piano. The beat frequency decreases to $$2$$ beats per second when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was
A
$$256 + 2Hz$$
B
$$256 - 2Hz$$
C
$$256 - 5Hz$$
D
$$256 + 5Hz$$
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