A uniformly charged infinite plane sheet of charge density \( 2 \times 10^{-8} \text{ C m}^{-2} \) is held in air.
What will be the separation between two equipotential surfaces in the region of electric field produced by the sheet, if the potential difference between them is 10 V? (\( \varepsilon_0 = 8.85 \times 10^{-12} \text{ C}^2\text{N}^{-1}\text{m}^{-2} \))

The external diameter of a 5 m long hollow copper tube is 10 cm and the wall thickness is 5 mm. If the specific resistance of copper is \( 1.7 \times 10^{-8} \text{ }\Omega\text{m} \), the resistance of the tube will be:

A proton is projected with a speed of \( v = 4 \times 10^6 \text{ m s}^{-1} \) horizontally from east to west. A uniform magnetic field \( \vec{B} \) of strength \( B = 1.5 \times 10^{-3} \text{ T} \) exists in the vertically upward direction. What is the acceleration produced? (Use charge on the proton \( q = 1.6 \times 10^{-19} \text{ C} \) and mass of the proton \( m = 1.67 \times 10^{-27} \text{ kg} \))

If light of wavelength 412.5 nm is incident on each of the metals given below, which ones will show photoelectric emission ?

Metal	Work Function (eV)
Na	1.92
K	2.15
Ca	3.20
Mo	4.17

Choose the correct answer from the options given below:

Three charges \(+q,-2 q\) and \(4 q\) are placed on the vertices of an equilateral triangle of side 0.2 m . The electrostatic potential energy of the system (Take \(q= 1 0 \mu C\) ) is :

A concave mirror of focal length 6 cm is placed at a distance 'd' from the convex lens of focal length 8 cm. A beam of light coming from infinity and falling on this convex lens-concave mirror combination returns to infinity. The distance 'd' must be equal to:

A circular coil of 100 turns and area of cross-section \( 10^{-2} \text{ m}^2 \) is rotated about its vertical diameter at 60 rpm in a uniform horizontal magnetic field of \( 3.5 \times 10^{-2} \text{ T} \). The maximum emf induced in the coil is:

List-I (Differential equation)	List-II (Integrating factor)
(A) \(x \frac{d y}{d x}-y=2 x^2\)	(I) \(e^{-y}\)
(B) \(\frac{d y}{d x}+\frac{y}{x}=2 x\)	(II) \(\frac{1}{x}\)
(C) \(x \frac{d y}{d x}+2 y=x^2 \log x\)	(III) \(x\)
(D) \(\frac{d x}{d y}-x=y\)	(IV) \(x^2\)

Choose the correct answer from the options given below:

Which organism was used by T.H. Morgan for his experiments ?

A bond of face value ₹1000 has a coupon rate 10% per annum paid semi-annually and matures in 4 years. If present value of the bond is ₹1100, then yield to maturity is:

Pipe A can fill a tank in 24 hours and pipe B in 32 hours. If both the pipes are opened in an empty tank at the same time, then the time taken to fill the tank is:

If \(A =\left(\begin{array}{cc}2 & 3 \\ 5 & -2\end{array}\right)\), be such that \(A ^{-1}=K A\), then the value of \(K\) is :

In order to link the alien DNA, the vector needs to have very few, preferably single, recognition sites for the commonly used restriction enzymes. Presence of more than one recognition sites within the vector will generate several fragments, which will complicate the gene cloning. In Biolistics or gene gun method cells are bombarded with high velocity micro particles of gold or tungsten coated with DNA. The ligation of alien DNA is carried out at a restriction site present in one of the two antibiotic resistance genes. For example, you can ligate a foreign DNA at the BamH I site of tetracycline resistance gene in the vector pBR322. 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. The RNA can be removed by treatment with ribonuclease whereas proteins can be removed by treatment with protease. Other molecules can be removed by appropriate treatments and purified DNA ultimately precipitates out after the addition of chilled ethanol.
Which one of the following statements is correct with reference to biolistics?