Dispersion and beats Consider two waves f,(x, t)- Acos(k, x-ot) and f,(x, t)- Acos(k2x- co, t) that propagate through the same medium. Assume ΔΚ-ki-k2 is much smaller than ki and k2. we saw in Lecture 6 that the resulting wave can be written as a product of two traveling waves, one oscillating at high frequency /short wavelength and one wavelength. If the medium in which the waves propagate has a dispersion relation ω(k-ck2 where c is a constant, what approximately are the wave velocities of the high frequency and low frequency part of the resulting wave? Are they the same? Show your work, and use a sketch of ω ( k ) to explain your answer.

answer: 802.3 kilo joules of energy represents 191.75 kilo calorie of energy.

explanation:

energy released during combustion of one mole methane = 802.3 kilo joules

if 1 kilo joule = 0.239006   kilo calorie

then ,802.3 kilo joule will be = 802.30.239006 kilo calorie

802.3 kilo joule = 191.75 kilo calorie

hence, the energy in kilo calorie is 191.75 kilo calorie.

option number c is the right answer.

i think it would be 5

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.