A potential difference of 6 V is applied across a conductor of length 12 cm. If the mobility of electrons is \( 5.6 \times 10^{-6} \text{ m}^2/\text{V}\cdot\text{s} \), their drift velocity will be:

In an a.c. circuit, a resistor, a capacitor and an inductor are connected in series, in which \( X_C = X_L = R \). The impedance of this circuit will be

The peak value of current in an ideal inductor of \((2/\pi) \text{ H}\) inductance connected to a 200 V, 50 Hz ac supply will be

Which of the following are not electromagnetic waves?
A. Gamma rays
B. Cathode rays
C. X-rays
D. \(\beta\)-rays
E. Radio waves
Choose the correct answer from the options given below:

The electric field amplitude of an electromagnetic wave is \(100 N C ^{-1}\) and its frequency is 50 MHz . What is the magnitude of wave vector \(k\), (given speed of electromagnetic wave is \(3 \times 10^8 m s ^{-1}\) )

In Young's double slit experiment, the light has a frequency \( 12 \times 10^{14} \text{ Hz} \) and the distance between the centres of adjacent fringes is 0.8 mm. If the screen is 1.6 m away, what is the distance between the slits? (Take speed of light \( c = 3 \times 10^8 \text{ m s}^{-1} \))

In a coil, a current of 0.2 A increases at the rate of \( 0.4 \text{ A s}^{-1} \). If the power flow in the coil is \( 0.6 \text{ J s}^{-1} \) the inductance of the coil is:

Aqueous \(CuSO _4\) solution gives green precipitate of \(( X )\) with aqueous KF.
Correct formula of X is:

Observe the given diagram representing global biodiversity and answer the question.

Global Bio-diversity
Identify the statements which hold true for biodiversity in India?
(A) India is amongst one of the twelve megadiversity countries of the world.
(B) India has only 8.4 percent of the world's land area.
(C) India has 8.1 percent of the global species diversity.
(D) Almost 45,000 species of plants have been recorded in India.
Choose the correct answer from the options given below :

The side of an equilateral triangle increases at the rate of \(3 cm / sec\), then the rate at which the area of the triangle increases when the side is 4 cm , is :

For what value of k, the following system have a unique solution? (where R is set of real numbers)
x + y + z = 1
2x + 3y + 4z = 3
x - y + kz = 5

Read the passage carefully and answer the questions
Replacement of a hydrogen atom in a hydrocarbon by an alkoxy or carboxyl group yields a class of compounds known as ethers. Ethers are classified as symmetrical or unsymmetrical on the basis of groups attached to the oxygen atoms. Diethyl ether, a symmetrical ether, has been widely used as an inhalation anesthetic. Ethers can be prepared by acid catalyzed intermolecular dehydration of alcohols and Williamson's synthesis. Acid catalyzed dehydration of alcohols is not generally preferred as it gives a mixture of elimination and substitution products. In Williamson's synthesis, an alkyl halide is allowed to react with sodium alkoxide. Ethers containing substituted Alkyl groups may also be prepared by this method. The C-O bond in ether is weakly polar and is cleaved under drastic conditions with excess of hydrogen halides. In electrophilic substitution, the alkoxy group deactivates the aromatic ring and directs the incoming group to ortho and para positions.
In Williamson synthesis, the alkoxide ion attacks the alkyl halide via which pathway?

Identify the carbohydrate which is not a polysaccharide