`aprop 1/m` when ________ is constant.

Supposing Newton's law of gravitational for gravitation fores vecF_1 and vecF_2 between two masses m_1 and m_2 at positions vecr_1 and vecr_2 read vecF_1 = - vecF_2 = - (vecr_12)/(r_12^3) GM_0^1((m_1m_2)/(m_0^2))^n where M_0 is a constant of dimension of mass. vecr_12 = vecr_1 - vecr_2 and n is a number. In such a case

A group between x/m and the presure P of the gas at a constant temperature is called adsorption siotherm. Where x is the no. of moles of the adsorbate and m is the mass of the adsorbent. adsoption isotherms of different shaopes have been experimentally observed .. According to frundlich adosroption isthem, x//m = KP^(1//n) where K and N are constant paraments depending upon the nature of the solid and gas Inn the given isotherm select the incorrect statement : x/m proptoP^(1//n along OA, x/m proptoP^(1//n when point B is reached , x/m does not increase as rapidly with pressure along BC due to less surface area availble for adsorption .

What is the nature of acceleration-time graph when the body moves with constant acceleration ?

A body of mass m is situated in a potential field U(x) =(U_0(1 - cosax) when U_0 and a are constants. Find the time period of small oscillations.

The density of a non-uniform rod of length 1 m is given by rho (x) = a (1 + bx^2) where a and b are constant and 0 le x le 1 . The center of mass of the rod will be at

What is the change in entropy when 2.5 mole of water is heated from 27^(@)C to 87^(@)C ? Assume that the heat capacity is constant (C_(p))_(m)(H_(2)O)=4.2J//gK, ln(1.2)=0.18)

Two springs are joined and connected to a mass m . If the spring force constants are k_1 and k_2 show that the frequency of oscillation of mass m is

Find the derivative of (ax + b)^m (cx + d)^n , where a,b,c and d are constants and m,n are integers .

The measured freezing point depression for a 0.1 m aqueous CH_3COOH soluton is 0.19^@C . The acid dissociation constant K_a at this concentration will be (Give K_f , the molal cryoscopic constant= 1.86 K kg mol^-1 )