Cheak the correctness of the equation `FS =(1)/(2) m upsilon^2 -(1)mu^2`

Check the correctness of the equation, FS=(1)/(2)mv^(2)-(1)/(2)mu^(2) where F is the force acting on a body of mass m and S is the distacne moved by the body when its velocity changes from u to v.

Using dimensional analysis, check the correctness of the following relations : (i) S_(nth) = u+(a)/(2) (2n-1) (ii) lambda = h//m upsilon (ii) = mc^2 where the symbole have their usual menaings.]

Check the dimensional consistency of the following equations : (i) upsilon = u +at (ii) s = ut +(1)/(2) at^2 (iii) upsilon^2 - u^2 = 2as

The SI unit of energy is J = kg m^2 s^(-2), that of speed upsilon is ms^(-1) and of acceleration a is ms^(-2) which of the formulae for kinetic energy (K) given below can you rule out on the basis of dimensional arguments (m stands for the mass of the body). (a) K = m^2 upsilon^3 (b) K = (1)/(2)m upsilon^2 (c ) K= ma (d) K =(3)/(16)m upsilon^2 (e ) K = (1)/(2) m upsilon^2 +ma

The SI unit of energy is J = kg m^2 s^(-2), that of speed upsilon is ms^(-1) and of acceleration a is ms^(-2) which of the formulae for kinetic energy (K) given below can you rule out on the basis of dimensional arguments (m stands for the mass of the body). (a) K = m^2 upsilon^3 (b) K = (1)/(2)m upsilon^2 (c ) K= ma (d) K =(3)/(16)m upsilon^2 (e ) K = (1)/(2) m upsilon^2 +ma

Check whether equation F.S. = 1/2 mv^2 -1/2 m u^2 is dimensionally correct, where m is mass of the body, v its final velocity, u its initial velocity, F is force applied and S is the distance moved.

On the basis of dimensional arguments, rule out the wrong relation for Kinetic Energy. (i) (3)/(16)m upsilon^2 (ii) (1)/(2)m upsilon^2 + ma

The equation of refraction at a spherical surface is mu_2/v-mu_1/u=(mu_2-mu_1)/R Taking R=oo , show that this equation leads to the equation (Real depth)/(Apparent depth)=mu_2/mu_1 for fraction at a plane surface.