which statement is true of a wave that's propagating along the pavement and girders of a suspension bridge?

Question:

Which statement is true of a wave that’s propagating along the pavement and girders of a suspension bridge?

A. The wave is mechanical, with particles vibrating in a direction that is parallel to that of the wave, forming compressions and rarefactions.

B. The wave is electromagnetic, with particles vibrating in a direction that is parallel to that of the wave, forming compressions and rarefactions.

C. The wave is mechanical, with particles vibrating in a direction that is perpendicular to that of the wave, forming crests and troughs.

D. The wave is electromagnetic, with particles vibrating in a direction that is perpendicular to that of the wave, forming crests and troughs.

E. The wave is mechanical, with particles vibrating in a direction that is perpendicular to that of the wave, forming compressions and rarefactions.

The statement “The wave is mechanical, with particles vibrating in a direction that is perpendicular to that of the wave forming compressions and rarefactions” is true of a wave that’s propagating along the pavement and girders of a suspension bridge.

Explanation:

As it is stated about the wave propagates in the given question, the first thing to confirm is the wave should be a mechanical wave as electromagnetic wave will not penetrate the suspension bridge.

Then as both the pavements and girders are rigid structures present in suspension bridge, the wave can propagate in them which are forming compressions and rarefactions.

The transverse waves cannot pass through them because of the polarization property of transverse waves. Also as they propagate in compression and rarefactions mode, the particles will tend to vibrate only in perpendicular direction to that of the wave propagation. So, the last statement is only true.

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.