Linearly Dependent

Statement I A metallic surface is irradiated by a monochromatic light of frequency v gt v_(0) ( the threhold frequency ). The maximum kinetic energy and the stopping potential are K_("max") and V_(0) respectively. If the frequency incident on the surface is doubled, both the K_("max") and V_(0) are also doubled. Statement II The maximum kinetic energy and the stopping potential of photoelectrons emitted from a surface are linearly dependent on the frequency of incident light.

Examine if vec(i) - 3vec(j) + 2vec(k), 2vec(i) - 4vec(j) - vec(k) and 3vec(i) + 2vec(j) - vec(k) are linearly independent or dependent .

Linearly Independent

If a,b,c are linearly independent, then ([[veca+2vecb,2vecb+vecc,5vecc+veca] ])/([vecavecbvecc])

IF barx and bary non zero linearly independent vectors such that |barx + bary|=|barx -bary| then

In a first order reaction,the concentration of the reactants decreases…………………………..with time (linearly or eponentially or sinusoidally).

Define the them 'Linearly polarized light'.

The stopping potential in a photoelectric experiment is linearly related to the inverse of the wavelength (1/lambda) of the light falling on the cathode. The potential difference applied across an X-ray tube is linearly related to the inverse of the cutoff wavelength (1/lambda) of the X-ray emitted. Show that the slopes of the lines in the two cases are equal and find its value.