Let `V_(1)`= variance of `{13, 16, 19............103}`and `V_(2)`= variance of `{20, 26 ,32,............200}`. Then `V_(1):V_(2)` is

Suppose a population A has 100 observations 101,102,................,200 and another population B has 100 observations 151,152,........250. If V_A and V_B represent the variances of the two populations respectively,then V_A/V_B is (a) 1 (b) 9/4 (c) 4/9 (d) 2/3

Voltmeters V_(1) and V_(2) are connected in series across a D.C. line V_(1) reads 80 volts and has a per volt resistance of 200 ohms , V_(2) has a total resistance of 32 kilo ohms. The line voltage is

A body of mass m_(1) moving with an unknown velocity of v_(1)hat i , undergoes a collinear collision with a body of mass m_(2) moving with a velocity v_(2) hati . After collision , m_(1) and m_(2) move with velocities of v_(3) hati and V_(4) hati , respectively. If m_(2)=0.5 m_(1) and v_(3)=0.5v_(1) , then v_(1) is :

The velocities of sound at same temperature in two monoatomic gases densities rho_(1) and rho_(2) are v_(1) and v_(2) repectively , if (rho_(1))/(rho_(2)) = 4 , then the value of (v_(1))/(v_(2)) will be

A plenet moving along an elliptical orbit is closest to the sun at a distance r_(1) and farthest away at a distance of r_(2) . If v_(1) and v_(2) are the linear velocities at these points respectively, then the ratio (v_(1))/(v_(2)) is

In the figure shown R = 100 Omega L = (2)/(pi) H and C = (8)/(pi) mu F are connected in series with a.c source of 200 volt and frequency 'f' . V_(1) and V_(2) are two hot-wire voltmeters. If the readings of V_(1) and V_(2) are same then:

In the figure shown R = 100 Omega, L = (2)/(pi) H and C = (8)/(pi) mu F are connected in series with a.c source of 200 volt and frequency 'f' . V_(1) and V_(2) are two hot-wire voltmeters. If the readings of V_(1) and V_(2) are same then:

A body of density rho floats with volume V_(1) of its total volume V immersed in a liquid of density rho_(1) and with the remainder of volume V_(2) immersed in another liquid of density rho_(2) where rho_(1)gtrho_(2) . Find the volume immersed in two liquids. ( V_(1) and V_(2) ).

Two solution of H_(2)SO_(4) of molarities x and y are mixed in the ratio of V_(1) mL : V_(2) mL to form a solution of molarity M_(1) . If they are mixed in the ratio of V_(2) mL : V_(1) mL , they form a solution of molarity M_(2) . Given V_(1)//V_(2) = (x)/(y) gt 1 and (M_(1))/(M_(2)) = (5)/(4) , then x : y is

Equal volume of two immiscible liquids of densities rho and 2rho are filled in a vessel as shown in the figure. Two small holes are punched at depths h//2 and 3h//2 from the surface of lighter liquid. If v_(1) and v_(2) are the velocities of efflux at these two holes, then v_(1)//v_(2) is