AIEEE 2003 | Waves Question 148 | Physics

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

$$50$$ $$Hz$$

$$100$$ $$Hz$$

$$200$$ $$Hz$$

$$25$$ $$Hz$$

AIEEE 2003

MCQ (Single Correct Answer)

-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

$$300$$

$$600$$

$$1200$$

$$200$$

AIEEE 2002

MCQ (Single Correct Answer)

-1

length of a string tied to two rigid supports is $$40$$ $$cm$$. Maximum length (wavelength in $$cm$$) of a stationary wave produced on it is

$$20$$

$$80$$

$$40$$

$$120$$

AIEEE 2002

MCQ (Single Correct Answer)

-1

A wave $$y=a$$ $$\sin \left( {\omega t - kx} \right)$$ on a string meets with another wave producing a node at $$x=0.$$ Then the equation of the unknown wave is

$$y = a\,\sin \,\left( {\omega t + kx} \right)$$

$$y = - a\,\sin \,\left( {\omega t + kx} \right)$$

$$y = a\,\sin \,\left( {\omega t - kx} \right)$$

$$y = - a\,\sin \,\left( {\omega t - kx} \right)$$

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