A cube is placed at the origin as shown in the figure. The electric field in the region is given as \( \vec{E} = (200 x^2 \hat{i}) \frac{\text{N}}{\text{C}} \). The flux coming out of the cube is:

An object is placed at a distance of 10 cm from a concave mirror of focal length 15 cm. The magnification of the image is

The phase angle between the voltage and the current in an LR series circuit having the same resistance as its reactance is

Which of the following statements are correct?
(A) The electric field and magnetic field vectors of an electromagnetic wave are perpendicular to each other and also perpendicular to the direction of propagation of wave.
(B) Short waves are reflected from ionosphere.
(C) Electric field vector, E and magnetic field vector B have the same frequency.
(D) The line integral of magnetic field induction over a closed path is not zero.
Choose the correct answer from the options given below :

The velocity of light in a medium depends on

In the given figure, the ratio of electric fluxes through surfaces \( S_1 \) and \( S_2 \) is

What will be the minimum length of antenna required to transmit a radio signal of frequency 10 MHz ?

Which one of the following codons performs a dual function?

Which one of the following structures is not the male sex accessory duct?

Read the passage carefully and answer the Questions
Haloalkanes undergo nucelophilic substitution reactions owing to the polarity of CX bond. The nucleophile reacts with the haloalkane on the carbon possessing a partial positive charge holding the halogen atom. The halogen atom X is replaced by a nucleophile. Depending on the kinetics and mode of bond breaking, the mechanism can be either SN1 or SN2 reaction. The rate of SN1 reaction is governed by the stability of carbocation and in SN2 reaction, the rate of reaction is governed by steric factor. Chirality is the main factor in both SN1and SN2. In SN1 reaction, the chirality of alkyl halide is accompanied by racemization of the product, while in SN2 reaction, the product is characterized by inversion of configuration. The structure of alkyl halide and the nature of the solvent also governs the mechanism of the substitution.
What is meant by the term racemic mixture?

The area (in sq. units) of the region bounded by \(y=2 x+3\), the \(x\)-axis, and the ordinates \(x=-2, x=2\) is equal to

If the flux entering and leaving the enclosed surface respectively are \(\Phi_1\) and \(\Phi_2\) then the electric charge inside the surface is :

Match List-I with List-II

List-I (Name of the Reaction)	List-II (Compound synthesized)
(A) Kolbe's Reaction	(I) Salicylaldehyde
(B) Reimer-Tiemann Reaction	(II) Salicylic acid
(C) Etard Reaction	(III) Chlorobenzene
(D) Sandmeyer Reaction	(IV) Benzaldehyde

Choose the correct answer from the options given below: