Which of the following option is incorrect?

A long straight wire is carrying a current of 20 A. An electron is moving with a speed of \( 10^7 \text{ m/s} \) parallel to the wire. The force experienced by the electron when it is 2 cm away from the wire is:

A parallel beam of monochromatic light of wavelength 489 nm passes through a single slit of width 0.3 mm. The angular width of the central maxima is

A long solenoid has 500 turns. When a current of 2 A is passed through it, the resulting magnetic flux linked with each turn of the solenoid is \(4 \times 10^{-3} Wb\). The self-inductance of the solenoid is

Given below are two statements :
Statement (I) : In a ground wave communication system, low frequency signal (< 2 MHz) can be transmitted.
Statement (II) : If frequency is high then it will induce electrical signal on the surface of the earth and so attenuation takes place.
In the light of the above statements, choose the most appropriate answer from the options given below :

A magician during a show makes a glass lens \( \mu = 1.5 \) disappear in a trough of liquid. The refractive index of the liquid would be :

Three charges \(+4 q, Q\) and \(q\) are placed along \(x\)-axis at points, \(x=0, I / 2\) and I respectively. The value of Q to make the net force on \(q\) to be zero :

A straight wire of mass 300 g and length 1.5 m carries a current of 2 A. It is suspended in mid air by a uniform horizontal magnetic field. The magnitude of the magnetic field is
(Neglect the earth's magnetic field and \( g = 10 \text{ m/s}^2 \))

Match List I with List II and choose the correct answer from the options given below:

List - I	List - II
(A) \(\int \frac{\sin x}{1+\cos x} d x\)	(I) \(e^{\tan ^{-1} z}+C\)
(B) \(\int \frac{1}{1-\tan x} d x\)	(II) \(\log (\log x+1)+C\)
(C) \(\int \frac{e^{\tan ^{-1} x}}{1+x^2} d x\)	(III) \(-\log |1+\cos x|+C\)
(D) \(\int \frac{1}{x+x \log x} d x\)	(IV) \(\frac{x}{2}-\frac{1}{2} \log |\cos x-\sin x|+C\)

If \(A=\left[\begin{array}{lll}1 & 1 & -2 \\ 2 & 1 & -3 \\ 5 & 4 & -9\end{array}\right]\), then \(|A|\) is equal to:

Read the passage carefully and answer the Questions
A homogeneous mixture of two or more than two components has uniform composition and properties. The binary solutions have two components, which may be solid, liquid or gas. The resultant solution has a larger amount of solvent and a smaller amount of solute. The amount of solute in a given amount of solvent decides the concentration of the resulting solution. The concentration can be expressed in various ways, like molarity, molality, normality and mole fraction.
Molarity of a solution containing 8 grams \(NaOH\) in one liter of water is:

p-block elements are placed in groups 13 to 18 of the periodic table. Group 15 is nitrogen family.
Nitrogen makes various compounds like \(NH _3, HNO _3, N_2 O , NO _2\) etc. Phosphorus exists in the form of white and red phosphorus. White phosphorus glows in dark. \(PH _3\) gas is used as smoke screen. Group 16 is called oxygen family. Dry air contains \(21\% O_2\) gas by volume. Combined sulphur exists as sulphates such as gypsum, epsome salt, baryte etc. The allotropic forms of sulphur are Rhombic and monoclinic sulphur. \(S_2\) is paramagnetic like \(O_2\) and it stable at high temperature.
Group 17 is Halogen family. \(F_2\) is highly reactive, \(Cl _2\) is greenish yellow gas. Both \(SO _2\) and \(Cl _2\) are used for bleaching. Group 18 is Noble gas family but some noble gases also form compounds.
Complete hydrolysis of \(XeF _6\) gives HF and \(XeO _3\) as main products.
At elevated temperature \((\sim 1000 K)\) the dominant form of sulphur is :

Sucralose belongs to which class of chemicals/drugs?