The temp at which the resistance of a conductor becomes 30% more than that of its resistance at \( 47^\circ \text{C} \) will be : (given the value of temperature coefficient of resistance of the conductor is \( 2 \times 10^{-4} \text{ K}^{-1} \))

A slab of material of dielectric constant \( k \), having the same area as the plate of a parallel plate capacitor but has a thickness \( \frac{3}{5} \) of the distance between the plates \( d \), is inserted between the plates of the capacitor. When there is air between the plates, the potential difference is \( V_0 \). What is the potential difference between the plates of the capacitor after inserting the dielectric?

The phase difference between two points A and B on a given wavefront separated by distance \(\lambda\) is :

What is the force experienced by an electron moving with velocity of \(0.5 c\) in a magnetic field \(\vec{B}\) of \(2 T\) ? The angle between the velocity vector and \(\vec{B}\) is \(90^{\circ}\)
( \(c\) is the velocity of light, \(e=1.6 \times 10^{-19} C\) )

A short bar magnet placed with its axis at 30\(^\circ\) with an external field of 800G, experiences a torque of 0.016 Nm. Work done in moving it from its most stable to most unstable position is :

The mutual inductance \( M_{12} \) of coil 1 with respect to coil 2:

A series LCR circuit is connected to a variable frequency 230 V source. \( L = 5\text{H}, C = 80 \mu\text{F} \) & \( R = 40 \, \Omega \). The potential drop across R at resonating frequency is :

A medicinal plant growing in different Himalayan ranges shows different potency and concentration of the active chemical (reserpine) that the plant produces. Identify the plant:

Which are the correct statements from given below:
A. Kirchhoff's junction rule is based on conservation of charge
B. Current is a vector quantity.
C. Current density is a vector quantity.
D. Resistance doesn't depend on dimension of conductor.
E. Resistivity depends on temperature.

Factors, on which the capacitance of a parallel plate capacitor depends, are
(A) Charge on the plates
(B) Area of plates
(C) Permittivity of the medium between the plates
(D) Distance between the plates
Choose the correct answer from the options given below:

If we use molten \(\text{NaCl}\), the products of electrolysis are __________ .

Match List-I with List-II

List-I (Law/Property)	List-II (Expression)
(A) Raoult's law	(I) \(P_{total} = P_1 + P_2\)
(B) Dalton's law of partial pressures	(II) \(P_1 = x_1P^\circ_1\)
(C) Henry's law	(III) \(\Pi = CRT\)
(D) Osmotic pressure	(IV) \(p = K_Hx\)

Choose the correct answer from the options given below:

Read the following passage carefully and answer the given questions.
Restriction endonuclease on finding its specific recognition sequence, bind to the DNA and cut each of the two strands of the double helix at specific points in their sugar -phosphate backbones. Each restriction endonuclease recognises a specific palindromic nucleotide sequences in the DNA. Since the DNA is enclosed within the membranes, we have to break the cell open to release DNA along with other macromolecules such as RNA, proteins, polysaccharides and also lipids. This can be achieved by treating the bacterial cells/plant or animal tissue with enzymes such as lysozyme (bacteria), cellulase (plant cells), chitinase (fungus). Now a days the most commonly used matrix is agarose which is a natural polymer extracted from sea weeds. The DNA fragments separate (resolve) according to their size through sieving effect provided by the agarose gel. The first restriction endonuclease-Hind II, whose functioning depended on a specific DNA nucleotide sequence was isolated and characterised five years later. It was found that Hind II always cut DNA molecules at a particular point by recognising a specific sequence of six base pairs. In addition to 'ori', the vector requires a selectable marker, which helps in identifying and eliminating non-transformants and selectively permitting the growth of the transformants. Transformation is a procedure through which a piece of DNA is introduced in a host bacterium. Normally, the genes encoding resistance to antibiotics such as ampicillin, chloramphenicol, tetracycline or kanamycin, etc., are considered useful selectable markers for E. coli
Chitinase is used to disrupt the membranes of: