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Which of the following pairs represents linkage isomers ?

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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

Due to the presence of the current \displaystyle{I}_{}

An athlete in the olympic games covers a distance of 100 m in 10s. His kinetic energy can be estimated to be in the range

In a fuel cell methanol is used as fuel and oxygen gas is used as an oxidizer. The reaction is $CH_{3}OH(l)+23 O_{2}(g)⇒CO_{2}(g)+2H_{2}O(l)$ At 298K standard Gibb's energies of formation for $CH_{3}OH,H_{2}O(l)andCO_{2}(g)are−166.2,−237.2and−394.4kJmol_{−1}$ respectively. If standard enthalpy of combustion of methanol is $−726kJmol_{−1}$, efficiency of the fuel cell will be

An insulated container of gas has two chambers separated by an insulating partition. One of the chambers has volume \displaystyle{V}_{}

Suppose an electron is attracted towards the origin by a force k/r where 'k' is a constant and 'r' is the distance of the electron from the origin. By applying Bohr modeal to this system, the radius of the $n_{th}$ orbital of the electron is found to be $_{′}r_{n}$ and the kinetic energy of the electron to e $T_{n}$. Then which of the following is true ?

A parabola has the origin as its focus and the line $x=2$as the directrix. Then the vertex of the parabola is at

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 ? $(K_{sp}forBaCO_{3}=5.1×10_{−9})$