The electric potential at a point P due to a point charge of \( 9 \, \mu C \) located 10 cm away from point P is

A nucleus captures two neutrons. Which of the following gives the changes in the proton number and nucleon number of the nucleus?

If the work function of a target is 1.25 eV and the wavelength of incident radiation is 2460 \( \text{\AA} \), the stopping potential required to stop the emitted electrons is :
Given : \( h = 6.6 \times 10^{-34} \text{ Js} \)

For a metre Bridge, Choose the incorrect option from the following

A network of five capacitors is shown in the figure. The total charge stored in the network connected between A and B is :

The electric potential due to an electric dipole
(A) depends on r, where r is the magnitude of position vector \( \vec{r} \)
(B) depends on the angle between the position vector \( \vec{r} \) and the dipole moment vector \( \vec{p} \)
(C) falls off at long distances, as \( 1/r^2 \)
(D) does not depend upon the distance separating the charges
Choose the correct answer from the options given below:

A thin convex lens of refractive index 1.5 has focal length f1. When immersed in a liquid of refractive index 5/3, its focal length is found to be f2. The relationship between f1 and f2 is:

An unchanged capacitor is connected to a battery. How much amount of energy supplied by the battery is lost as heat while charging the capacitor ?

The desalination of sea water plant stops working due to which of the following reasons?

Match List - I with List - II

List - I	List - II
(A) \(\int \frac{d x}{a^2-x^2}\)	(I) \(\frac{1}{2 a} \log \left|\frac{x-a}{x+a}\right|+C\)
(B) \(\int \frac{d x}{x^2-a^2}\)	(II) \(\frac{1}{2 a} \log \left|\frac{a+x}{a-x}\right|+C\)
(C) \(\int \frac{d x}{x^2+a^2}\)	(III) \(\sin ^{-1}\left(\frac{x}{a}\right)+C\)
(D) \(\int \frac{d x}{\sqrt{a^2-x^2}}\)	(IV) \(\frac{1}{a} \tan ^{-1} \frac{x}{a}+C\)

Choose the correct answer from the options given below:

If \(A=\left[\begin{array}{lll}a & a & a \\ 0 & a & a \\ 0 & 0 & a\end{array}\right]\), then |adj A| is equal to

Reduction of nitrobenzene by which of the following reagent does not give aniline?

Read the given passage carefully and answer the questions
Salmonella typhi is a pathogenic bacterium which causes typhoid fever in human beings. Sustained high fever (39° to 40°C), weakness, stomach pain, constipation, headache and loss of appetite are some of the common symptoms of this disease. Typhoid fever could be confirmed by Widal test. Plasmodium enters the human body as sporozoites. The parasites initially multiply within the liver cells and then attack the red blood cells (RBCs) resulting in their rupture. The rupture of RBCs is associated with release of a toxic substance, haemozoin, which is responsible for the chill and high fever recurring every three to four days. There is lymphoid tissue also located within the lining of the major tracts (respiratory, digestive and urogenital tracts) called mucosa-associated lymphoid tissue (MALT). In our body, cell growth and differentiation is highly controlled and regulated. In cancer cells, there is breakdown of regulatory mechanisms. Normal cells show a property called contact inhibition by virtue of which contact with other cells inhibits their uncontrolled growth. Cancerous cells just continue to divide giving rise to masses of cells called tumors. Tumors are of two types: benign and malignant. Cannabinoids are a group of chemicals, which interact with cannabinoid receptors present principally in the brain. Generally taken by inhalation and oral ingestion, these are known for their effects on cardiovascular system of the body.
Widal test is used to diagnose