Two charged particles A and B of masses (m) and ( 2m), charges ( 2q) and ( 3q ) respectively, are moving with the same velocity into a uniform magnetic field such that both particles make the same angle \( \theta (<90^\circ) \)with the direction of the magnetic field. Then the ratio of the pitches of the helical paths of the particles A and B is:
Match the following:
If the points of intersection of the parabola y2 = 5x and x2 = 5y lie on the line L, then the area of the triangle formed by the directrix of one parabola, latus rectum of another parabola and the line L is
If A is a square matrix of order 3, then |Adj(Adj A2)| =
If (h,k) is the image of the point (3,4) with respect to the line 2x - 3y -5 = 0 and (l,m) is the foot of the perpendicular from (h,k) on the line 3x + 2y + 12 = 0, then lh + mk + 1 = 2x - 3y - 5 = 0.
If A = \(\begin{bmatrix} 0 & 3\\ 0 & 0 \end{bmatrix}\)and f(x) = x+x2+x3+.....+x2023, then f(A)+I =
The Wheatstone bridge shown in the diagram is balanced. If P3 is the power dissipated by R3 and P1 is the power dissipated by R1, then the ratio P3/P1 is:
The velocity of a particle having a magnitude of 10 ms-1 in the direction of 60° with positive X-axis is
A ball falls freely from a height h on a rigid horizontal plane. If the coefficient of resolution is e, then the total distance travelled by the ball before hitting the plane second time is:
If the roots of the equation z2 - i = 0 are α and β, then | Arg β - Arg α | =
The period of function f(x) = \(e^{log(sinx)}+(tanx)^3 - cosec(3x - 5)\)is
A current of 15.0 amperes is passed through a solution of CrCl2, for 45 minutes. The volume of Cl2 , (in I) obtained at the anode at 1 atm and 273 K is around (IF=96500 Cmol-1, At. wt. of Cl=35.5, R=0.082 L-atmK-1 mol-1)
A straight line parallel to the line y = √3 x passes through Q(2,3) and cuts the line 2x + 4y - 27 = 0 at P. Then the length of the line segment PQ is
The rate law for the decomposition of hydrogen iodide is - = d[HI]/dt = k[HI]2. The units of rate constant k are:
Consider the following statements about the oxides of halogens A. At room temperature, OF2; is thermally stable B. Order of stability of oxides of halogens is I > Br > Cl C. I2O5 is used in the estimation of CO D. ClO2; is used as a bleaching agent The correct statements are