Tutor profile: Kausik C.

Can sound waves propagate in vacuum?

No, sound waves can not propagate in vacuum because of the fact that sound waves are mechanical waves that need a medium to travel. Sound wave is defined as a vibration that propagates an audible wave of pressure through a medium such as gas, liquid, solid etc.

Does a charge q = 1.99 * 10^(-17) C exist in nature?

We know according to charge quantization rule a charge (whether it is positive or negative) can exist in nature in integral multiple of electronic charge Q = i.e., 1.6 * 10^(-19) C. As the given charge q = 1.99 * 10^(-6) C is not integral multiple of electronic charge Q i.e., q/Q is not an integer so q can not exist in nature.

Find the dimension of a/b in the following equation: F = a * x^(0.5) + b*t^(2), where F s the force, x is the distance and t is time.

[a * x^(0.5)] = [F] [a] = [F] / [x^(0.5)] = [ M * L* T^(-2) ] / [ L^(0.5) ] = [ M * L^(0.5) * T^(-2) ] [b*t^(2)] = [F] [b] = [F] / [t^(2)] = [ M * L* T^(-2) ] / [ T^(2) ] = [ M * L * T^(-4) ] [a/b] = [ M * L^(0.5) * T^(-2) ] / [ M * L * T^(-4) ] = [ L^(-0.5) * T^(2) ]