The units of absolute permittivity of free space `(varepsilon@)` in S.I.are
(a) newton / coulomb
(b) newton metre
(c) volt / metre
(d) farad / metre

An indian ruber cord L meter long and area of cross-secion A metre is suspended vertically. Density of rubber is rho kg/ "metre"^(3) and Young's modulus of rubber is Y newton/ "metre"^(2) . IF the cord extends by l metre under its own. Weight, then extension l is

A firm can produce three types of cloth say C_1,C_2,C_3 . Three kinds of wool are required for it, say red wool, green wool and blue wool. One unit of length C_1 needs 2 metres of red wool, 3 metres of blue wool; one unit of cloth C_2 needs 3 metres of red wool 2 metres of blue wool and 2 metres of green and one unit of cloth C_3 needs 5 metres of green wool and 4 metres of blue wool. The firm has only a stock of 16 metres of red wool, 20 metres of green wool and 30 metres of blue wool. It is assumed that the income obtained from one unit of length of cloth C_1 is Rs. 6, of cloth C_2 is Rs. 10 and of cloth C_3 is Rs. 8. Formulate the problem as a linear programming problem to maximize the income.

Four long wires each carrying current I as shown in the are placed at the points A,B,C and D Find the magnitude and direction of (i) magnetic field the centre of the square (ii) force per metre acting on wire at point D .

If e, E_0, h and C respectively represents electronic change, permittively of free space, planks constant and speed of light then (e^2)/(E_0 hC) has the dimensions of A) angle " " B) relative density C) strain " " D) current

A force between the two stationary charges separated by certain distance (a) obeys Newton.s third law (b) is a central force ( c) is non conservative force (d) is a scalar

The electric field intensity at all points in space is given by vec(E) = sqrt(3) hat (i) - hat (j) volts/metre. A square frame LMNO of side 1 metre is shown in figure. The point N lies in x-y plane. The initial angle between line ON and x-axis is theta = 60^(@) The work done by electric field in taking a point charge of 1 muC from origin O to point M is -

The electric field intensity at all points in space is given by vec(E) = sqrt(3) hat (i) - hat (j) volts/metre. A square frame LMNO of side 1 metre is shown in figure. The point N lies in x-y plane. The initial angle between line ON and x-axis is theta = 60^(@) The magnitude of electric flux through area enclosed in square frame LMNO is -

A charged wire is bent in the form of a semicircular arc of radius a. If charge per unit length is lambda coulomb/metre, the electric field at the centre O is

The pole strength of a bar magnet is 48 ampere-metre and the distance between its poles is 25cm . The moment of the couple by which it can be placed at an angle of 30^(@) with the uniform magnetic intensity of flux density 0.15 "newton"//"ampere-metre" will be

Water rises in a capillary tube to a certain height such that the upward force due to surface tension is balanced by 75xx10^-4 newton force due to the weight of the liquid. If the surface tension of water is 6xx 10^-2 newton/metre the inner circumference of the capillary must be: