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How many litres of water must be added to 1 litre of an aqueous solution of HCl with a pH of 1 to create an aqueous solution with pH of 2?

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As an electron makes a transition from an excited state to the ground state of a hydrogen - like atom/ion :

The standard Gibbs energy change at 300 K for the reaction $2A⇔B+C$ is $2494.2J.$ At a given time, the composition of the reaction mixture is $[A]=21 ,[B]=2and[C]=21 .$ The reaction proceeds in the : $[R=8.314J/K/mol,e=2.718]$

The equation of the circle passing through the foci of the ellipse $16x_{2} +9y_{2} =1$, and having centre at (0, 3) is

The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices (0, 0), (0, 41) and (41, 0), is :

Two stones are thrown up simultaneously from the edge of the cliff 240 m high with initial speed of 10 m/s and 40 m/s respectively. Which of the following graph best represents the time variation of relative position of the second stone with respect to the first ? (Assume stones do not rebound after hitting the ground and neglect air resistance, take $g=10m/s_{2}$) (The figure are schematic and not drawn to scale)

If the coefficients of $x_{3}$and $x_{4}$in the expansion of $(1+ax+bx_{2})(1−2x)_{18}$in powers of x are both zero, then (a, b) is equal to

Which of the following compounds in not colored yellow ?

Statement - I : The value of the integral $∫_{π/6}1+tanx dx $is equal to $6π $.Statement - II : $∫_{a}f(x)dx=∫_{a}f(a+b−x)dx˙$