Awave on a small lake has an amplitude of 0.1. what happens to the energy of the wave by doubling its height to 0.2 meters

As we know that energy of wave depends on amplitude as per following relation

here we know that

k = constant

A = amplitude of wave

here we know that amplitude is doubled

so here as per above formula the energy of wave will increase by 4 times

as we know that

so energy is 4 times of initial value

note: the given question is incomplete.

complete question is given below.

which is an example of kinetic energy?

a. the energy stored in ethanol  

b. a hockey puck sliding across the ice  

c. a compressed spring  

d. a ball sitting at the top of a ramp

solution: the kinetic energy is the energy posses by the virtue of the motion of the object.

in the given options, a, c and d are the example of potential energy because it is the energy posses by the virtue of the rest of the object. but option b has the kinetic energy as the object is in motion.

hence, a hockey puck sliding across the ice   is the apex example of kinetic energy.

so, the option (b) a hockey puck sliding across the ice   is the correct option.