In 2001, the poplulations of Tripura and Meghalaya were 3,199,203 and 2,318,822, respectively. Write the populations of these two states in words.

The valences of zinc ion and phosphate ion are 2^(+) and 3^(-) respectively . Write the formula of the compound formed when these two ions combine.

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

P and Q are two points with positon vectors 3 veca - 2 vecb and veca + vecb respectively. Write the positon vector of a point R which divides the segment PQ in the ratio 2:1 extermally.

The lengths and radii of two rods made of same material are in the ratios 1 : 2 and 2 : 3 respectively. If the temperature difference between the ends for the two rods be the same, then in the steady state, the amount of heat flowing per second through them will be in the ratio

When radiations of wavelength lambda_(1), lambda_(2) (= 0.6 lambda_(1)), lambda_(3) (= 4lambda_(2)) and lambda_(4) are incident on a metal plate, photoelectrons with maximum kinetic energy of – 5.2 eV are emitted for lambda_(1), 12 eV are emitted for lambda_(2), 0.95 eV are emitted for lambda_(4) and no electron is emitted for l3. It is known that a hydrogen like atom (atomic number Z) in a higher excited state of quantum number n can make a transition to first excited state by successively emitting two photons of wavelength lambda1 and lambda_(2) respectively. Alternatively, the atom from same excited state can make a transition to the second excited state by successively emitting two photons of wavelength lambda_(3) and lambda_(4) respectively. (a) Find the work function of the metal. (b) Find the values of n and Z for the atom.

X and Y are two points with position vectors 3vec(a)+vec(b) and vec(a)-3vec(b) respectively. Write the position vector of a point Z, which divides the line segment XY in the ratio 2 : 1 externally.