Two particles carrying a charge of q = 2 nC each connected by an insulating string are placed r = 1 m apart on a smooth horizontal surface. The tension in the string is

The angle of dip at a location in Southern India is about 18°. Which of the following is correct for dip angle in Britain ?
(A) Dip angle will be greater in Britain than in India.
(B) Dip angle will be smaller in Britain than in India.
(C) Nearer the place to the poles, lesser is the dip angle.
(D) Nearer the place to the poles, more is the dip angle.
(E) Dip angle is also called the angle of declination.

Match List-I with List-II

List-I (Electromagnetic waves)	List-II (Wavelength range)
(A) X-rays	(I) 1 mm to 700 nm
(B) Radio waves	(II) 0.1 m to 1 mm
(C) Infrared waves	(III) 1 nm to \( 10^{-3} \) nm
(D) Microwaves	(IV) >0.1 m

Choose the correct answer from the options given below:

An inductor of 500 mH is in series with a resistance and a variable capacitor connected to a source of frequency 0.4 kHz. The value of capacitance of the capacitor to get a maximum current will be

Frequencies in the UHF range normally propagate by means of :

Donor energy level in 'n' type and acceptor energy level in 'p' type semiconductor are:

The maximum and minimum amplitudes of a modulated carrier wave are 1000 mV and 200 mV respectively, the modulation index is

Let \(A=\left[\begin{array}{ccc}2 & -3 & 4 \\ 0 & 1 & 5 \\ -4 & 2 & 3\end{array}\right]\), and \(a_{i j}\) be any element of \(A, i, j \in\{1,2,3\}\), then which of the following are TRUE?
(A) Minor of \(a_{23}=16\)
(B) Minor of \(a_{23}=-8\)
(C) Cofactor of \(a_{23}=-16\)
(D) Cofactor of \(a_{23}=8\)
(E) Cofactor of \(a_{13}=4\)
Choose the correct answer from the options given below :

A compound is formed by 2 elements P and Q. Atoms of element Q (as anions) makes ccp and those of P (as cations) fill all tetrahedral voids and also occupy half of the octahedral voids. What is the correct formula of this compound?

The shortest wavelength present in the Lyman series of spectral lines is : (Given Rydberg constant \( R = 1.097 \times 10^7 \text{ m}^{-1} \))

Read the passage carefully and answer the questions
Many halogen containing organic compounds are present in nature and some of them are clinically useful. These classes of organic compounds find a wide range of applications in our daily life as well as in industries. Many of the polyhalogen compounds are useful too in agriculture. However, some of these compounds cannot be easily decomposed and are thus considered to be environmental hazards. These halo compounds are prepared via different synthetic routes where a variety of organic compounds can be used as substrates such as amines, hydrocarbons etc. They are used as solvents for relatively non-polar compounds. These compounds exhibit substitution and elimination reactions, in addition to their reactions with different metals, which leads to the formation of a versatile starting material for others organic compounds.
Chloroform when slowly oxidized by air in the presence of light releases

The components of the ecosystem are seen to function as a unit when you consider the following aspects -
(A) Productivity
(B) Decomposition
(C) Energy flow
(D) Nutrient cycling
Choose the correct answer from the options given below :

What is the effect on the focal length of a convex lens when it is immersed in a liquid whose refractive index is equal to refractive index of the lens ?