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JEE Main

The IUPAC name of the following compound is

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Let $[ϵ_{0}]$ denote the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = time and A = electric current, then:

If $∫f(x)dx=ψ(x)$, then $∫x_{5}f(x_{3})dx$is equal to

Two short bar magnets of length 1 cm each have magnetic moments $1.20Am_{2}and1.00Am_{2}$ respectively. They are placed on a horizontal table parallel to each other with their N poles pointing towards the South. They have a common magnetic equator and are separated by a distance of 20.0 cm. The value of the resultant horizontal magnetic induction at the mid - point O of the line joining their centres is close to (Horizontal component of earths magnetic induction is $3.6×10_{−5}Wb/m_{2})$

In $S_{N}2$ reactions the corect order of reactivity for the following compound :

The supply voltage to a room is 120 V. The resistance of the lead wires is 6 $Ω$ A 60 W bulb is already switched on. What is the decrease of voltage across the bulb, when a 240 W heater is switched on in parallel to the bulb?

The ionic radii (in Å) of $N_{3−},O_{2−}$ and $F_{−}$ are respectively :

Experimentally it was found that a metal oxide has formula $M_{0.98}O.$ Metal M, is present as $M_{2+}andM_{3+}$ in its oxide. Fraction of the metal which exists as $M_{3+}$ would be:

The normal to the curve, $x_{2}+2xy−3y_{2}=0,at(1,1)$: