JEE Advanced questions
579 published questions with worked solutions.
- The energy of a system as a function of time t is given as E(t)=A^2 (- t), where =0.2 s ^ -1 . The measurement of A has an error...
- The densities of two solid spheres A and B of the same radii R vary with radial distance r as _A(r)=k ( r R ) and _B(r)=k ( r R...
- Four harmonic waves of equal frequencies and equal intensities I_0 have phase angles 0, /3, 2 /3 and . When they are superposed,...
- For a radioactive material, its activity A and rate of change of its activity R are defined as A=- dN dt and R=- dA dt , where...
- In terms of potential difference V, electric current I, permittivity _0, permeability _0 and speed of light c, the dimensionally...
- A spherical body of radius R consists of a fluid of constant density and is in equilibrium under its own gravity. If P(r) is the...
- A fission reaction is given by ^ 236 _ 92 U ^ 140 _ 54 Xe + ^ 94 _ 38 Sr +x+y, where x and y are two particles. Considering ^ 236...
- Among the complex ions, [Co(NH_2 - CH_2 - CH_2 - NH_2)_2Cl_2]^+ , [CrCl_2(C_2O_4)_2]^ 3- , [Fe(H_2O)_4(OH)_2]^+ ,...
- Three moles of B_2H_6 are completely reacted with methanol. The number of moles of boron containing product formed is
- The molar conductivity of a solution of a weak acid HX (0.01 M) is 10 times smaller than the molar conductivity of a solution of...
- The correct statement(s) regarding, (i) HClO, (ii) HClO_2 , (iii) HClO_3 and (iv) HClO_4 , is(are)
- The pair(s) of ions where BOTH the ions are precipitated upon passing H_2S gas in presence of dilute HCl, is(are)
- Under hydrolytic conditions, the compounds used for preparation of linear polymer and for chain termination, respectively, are
- When O_2 is adsorbed on a metallic surface, electron transfer occurs from the metal to O_2 . The **TRUE** statement(s) regarding...
- Suppose that the foci of the ellipse x^2 9 + y^2 5 =1 are (f_1,0) and (f_2,0) where f_1>0 and f_2<0. Let P_1 and P_2 be two...
- Let m and n be two positive integers greater than 1. If _ 0 ( e^ ( ^n) -e ^m )=- ( e 2 ) then the value of m n is
- Let f: R R be a continuous odd function, which vanishes exactly at one point and f(1)= 1 2 . Suppose that F(x)= _ -1 ^ x f(t) ,dt...
- Suppose that p , q and r are three non-coplanar vectors in R ^3. Let the components of a vector s along p , q and r be 4, 3 and...
- Let S be the set of all non-zero real numbers such that the quadratic equation x^2-x+ =0 has two distinct real roots x_1 and x_2...
- If =3 ^ -1 ( 6 11 ) and =3 ^ -1 ( 4 9 ), where the inverse trigonometric functions take only the principal values, then the...