Identify the correct statement in the context of Rutherford scattering of \( \alpha \)-particles by a target nucleus:

Two resistance wires are of same material having length, l and 2l and area of cross-section, 4A and A respectively. When they are connected in parallel, their equivalent resistance can be expressed as

The work function for a metal surface is 8.28 eV . The threshold wavelength for this metal surface is :

Let us consider interference between two sources of intensities \( I \) and \( 4I \). What will be the intensity at points where the phase difference is \( \pi \) ?

If a match box of size \( 5 \text{ cm} \times 4 \text{ cm} \times 1 \text{ cm} \) is filled with nuclear matter, what will be its expected mass? The density of nuclear matter is approximately \( 2.3 \times 10^{17} \text{ kg/m}^3 \).

A proton, an electron, a neutron and an alpha particle have the same energy. Their de Broglie's wavelengths are given below:
(A) \( \lambda_{proton} \)
(B) \( \lambda_{electron} \)
(C) \( \lambda_{neutron} \)
(D) \( \lambda_{alpha} \)
Arrange these wavelengths in decreasing order. Choose the correct answer from the options given below:

Two nuclei with mass numbers A and B have density ratios of :

The process of cutting out of DNA fragments from agarose gel and their extraction from gel piece is known as:

The capacity to generate a whole plant from any cell/explant is known as:

Which of the following are not an Intra-Uterine device
(A) Lippes loop
(B) Pills
(C) LNG 20
(D) Diaphragms
Choose the correct answer from the options given below:

The angle between the line \(\frac{x+1}{2}=\frac{y}{3}=\frac{z-3}{6}\) and the plane \(10 x+2 y-11 z=3\) is :

Let \(f(x)=\left\{\begin{array}{ll}2 x-1, & x<1 \\ 1, & x=1 \\ x^2, & x>1\end{array}\right.\) then at \(x=1\)

Read the passage carefully and answer the Questions
The term vitamin was coined from the word vital +amine since the earlier identified compounds had amino groups.
Later work showed that most of them didn't contain amino groups, so the letter "e" was dropped and ther term vitamin is used these days.
Vitamins are classified into two groups depending upon their solubility in water or fat. Fat soluble vitamins are soluble in fat and oils but insoluble in water. They are stored in liver and adipose (fat storing) tissues. Water-soluble vitamins are soluble in water. They must be supplied regularly in the diet as they are readily excreated in urine.
Deficiency of which vitamin causes scurvy?