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In Cannizzaro reaction given below $2PhCHO→OH(−)PhCH_{2}OH+PhCO.._{2}$ the slowest step is

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A thin spherical shell of radius R has charge Q spread uniformly over its surface. Which of the following graphs most closely represents the electric field E(r) produced by the shell in the range $0≤r<∞$, where r is the distance from the centre of the shell ?

The differential equation which represents the family of curves $y=c_{1}e_{c_{2}x}$, where $c_{1}andc_{2}$are arbitrary constants, is

Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of division on the circular scale is 50. Further, it is found that the screw gauge has a zero error of $−0.03$ mm while measuring the diameter of a thin wire, a student notes the main scale reading of 3 mm and the number of circular scale division in line with the main scale as 35. The diameter of the wire is

Let $f(x)=(x+1)_{2}−1,x≥−1$Statement 1: The set ${x:f(x)=f_{−1}(x)}={0,−1}$. Statement 2: f is a bijection.

Let $f:N→Y$be a function defined as $f(x)=4x+3$, where $Y={y∈N:y=4x+3$for some $x∈N}$. Show that f is invertible and its inverse is

Solid Ba $(NO_{3})_{2}$ is gradually dissolved in 1 $1.0×10_{−4}M Na_{2}CO_{3}$ solution. At what concentration of $Ba_{2+}$ will a precipitate begin to form ? $(K_{sp}forBaCO_{3}=5.1×10_{−9})$

A body is at rest at x = 0. At t = 0, it starts moving in the positive x-direction with a constant acceleration. At the same instant another body passes through x = 0 moving in the positive x-direction with a constant speed. The position of the first body is given by \displaystyle{x}_{}

A block of mass 0.50 kg is moving with a speed of 2.00 m/s on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is