Practice questions
88551 published questions with worked solutions.
- Given below are two statements : Statement (I) : The first ionization energy of Pb is greater than that of Sn Statement(II) : The...
- S(g) + 3 2 O_2(g) SO_3(g) + 2x kcal SO_2(g) + 1 2 O_2(g) SO_3(g) + y kcal The heat of formation of SO2(g) is given by :
- The successive 5 ionisation energies of an element are 800, 2427, 3658, 25024 and 32824 kJ/mol, respectively. By using the above...
- The observed and normal masses of compound MX2 are 65.6 and 164 respectively. The percent degree of ionisation of MX2 is...
- The possible number of stereoisomers for 5-phenylpent-4-en-2-ol is __________.
- Consider a complex reaction taking place in three steps with rate constants k_1, k_2 and k_3 respectively. The overall rate...
- The number of different 5 digit numbers greater than 50000 that can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, such that...
- Let ABCD be a trapezium whose vertices lie on the parabola y^2 = 4x. Let the sides AD and BC of the trapezium be parallel to...
- Two number k_1 and k_2 are randomly chosen from the set of natural numbers. Then, the probability that the value of i^ k_1 +i^...
- If f(x) = 2^x 2^x+ 2 , x R, then _ k=1 ^ 81 f ( k 82 ) is equal to
- Let A(x, y, z) be a point in xy-plane, which is equidistant from three points (0, 3, 2), (2, 0, 3) and (0, 0, 1). Let B = (1, 4,...
- The relation R = (x, y) : x, y z and x + y is even is :
- Let a_n be a sequence such that a_0 = 0, a_1 = 1 2 and 2a_ n+2 = 5a_ n+1 - 3a_n, n = 0, 1, 2, 3, .... Then _ k=1 ^ 100 a_k is...
- ( ^ -1 3 5 + ^ -1 5 13 + ^ -1 33 65 ) is equal to :
- Let T_r be the r^ th term of an A.P. If for some m, T_m = 1 25 , T_ 25 = 1 20 and 20 _ r=1 ^ 25 T_r = 13, then 5m _ r=m ^ 2m T_r...
- If the image of the point (4, 4, 3) in the line x-1 2 = y-2 1 = z-1 3 is ( , , ), then + + is equal to
- If _ - /2 ^ /2 96x^2 ^2 x (1+e^x) dx = ( ^2 + ), , Z, then ( + )^2 equals :
- The sum of all local minimum values of the function f(x) = cases 11 18 (x-4)(x-5), & x > 2 1 3 (7+2|x|), & -1 x 2 1-2x, & x < -1...
- The sum, of the squares of all the roots of the equation x^2 + |2x-3| - 4 = 0, is
- Let for some function y = f(x), _0^x t f(t) ,dt = x^2 f(x), x > 0 and f(2) = 3. Then f(6) is equal to