Answer carefully: If Coulomb’s law involved `1//r^3` dependence (instead of `1//r^2`), would Gauss’s law be still true ?

State Gauss’s theorem.How Coulomb’s law can be derived from it ?

In Coulomb’s law, on what factors the value of electrostatic force Constant ‘K’ depends ?

There is another useful system of units, besides the SI/MKS. A system, called the cgs system. In this system Coulumb's law is given by vecF = (Qq)/(r^2) hatr where the distance r is measured in cm (=10^(-2) m) , F in dynes (= 10^(-5) N) and the charges in electrostatic units (es units), where 1es unit of charge = 1/[3] xx 10^(-9) C . The number [3] actually arises the speed of light in vacuum which now taken to be exactly given by c = 2.99792458 xx 10^8 m/s . An approximate value of c then is c = [3] xx 10^8 m/s . Show that the Coulomb law in cgs units yields. 1 esu of charge = 1 (dy )^(1/2) cm . obtain the dimension of units of charge in terms of mass M, length L and time T. show that it is given in terms of fractional powers of M and L.

Plot a graph showin the variation of Coulomb force (F) versus 1/r^2 , where r is the distance between the two charges of each pair of charges (1muC, 2muC) (1muC,-3muC) . Interpret the graphs obtained.

Ohms law experiment is performed seperately with individual resistors R_1,R_2 (R_1>R_2) and series combination of R_1, R_2 Graph us placed between potential difference V and current I as shown in figure for each case.Identify which one is for R_1,R_2 and combination of resistors?in the graph A,B,C respectively represents

The question given below consist of an assertion (A) and a reason ( R). Use the following key to choose the appropriate answer to these questions from the codes (a), (b), ( c) and (d) given below: (a) Both A and R are true and R is the correct explanation of A. (b) Both A and R are true but R is NOT the correct explanation of A. (c) A is true but R is false. (d) A is false and R is also false. Assertion: Faradays laws are consequence of conservation of energy. Reason: In a purely resistive circuit, the current leads the emf by 90^@ .

A sphere S_1 of radius r_1 encloses a charge Q. If there is another concentric sphere S_2 of the radius r_2(r_2>r_1) and there be no additional charges between S_1 and S_2 find the ratio of electric flux through S_1 and S_2

Each question contains STATEMENT-I(Assertion) and STATEMENT-2(Reason).the statement carefully and mark the correct answer accoring to the instrution given below: STATEMENT - 1 : Henry's law is alawys applicable for gases. ltSTATEMENT - 2 : RAaoult's law is a special case of Henry's law.

Derive the unit of force using the second law of motion. A force of 5N produces an acceleration of 8m s^(-2) on a mass m_(1) and an acceleration of 24m s^(-2) on a mass m_(2) . What acceleration would the same force provide if both the masses are tied together?