A TV tower has a height of 20 m and the radius of earth is \(6.4 \times 10^6 m\). The range of the tower is:

A wire carries a current of 10 A in south to north direction. The magnetic field due to 1 cm piece of wire at a point 200 cm northeast from the piece :

Match List-I with List-II for convex lens (symbols have their usual meanings)

List-I (Position of Object)	List-II (Details of image)
(A) at 2F	(l) \(m>1\), virtual
(B) at F	(II) \(m <1\), real
(C) between lens and F	(III) m = 1 , real
(D) between \(\infty\) and 2F	(IV) \(m \gg 1\), real

Choose the correct answer from the options given below :

The core of electromagnets are made of ferromagnetic material like soft iron because the soft iron has-

The flux of the electric field \( \vec{E} = 2 \times 10^3 \hat{i} \text{ N/C} \) through a square of 10 cm, on a side whose plane is parallel to the \( xy \) plane is:

The magnification (m) and focal length (f) of a plane mirror are:

On which of the following factors angular fringe width does not depend?

A square planar complex is formed by hybridisation :

Which of the following is a statistic?

Read the Passage carefully and answer the Questions
Kinetic studies not only help us to determine the rate of a chemical reaction but also describe the conditions by which the reaction rates can be altered. The factors such as concentration, temperature, pressure and catalyst affect the rate of a reaction.
The speed of a reaction or the rate of a reaction can be defined as the change in concentration of a reactant or product in unit time.
Rate \(=k[A]^x[B]^y\)
Here \(k\) is the rate constant
\(x+y\) gives the overall order of a reaction, whereas \(x\) and \(y\) represent the order with respect to the reactants \(A\) and \(B\), respectively.
The unit of rate constant for first order reaction is

Which of the following hormones are produced by placental tissue?
(A) hCG
(B) Relaxin
(C) hPL
(D) Progestogens
Choose the correct answer from the options given below:

Match List-I with List-II

List-I (Evolutionary stages of human species)	List-II (Time of origin)
(A) Ramapithecus	(I) About 1.5 million years ago
(B) Neanderthal man	(II) About 2 million years ago
(C) Australopithecines	(III) 1,00,000-40,000 years ago
(D) Homo erectus	(IV) About 15 million years ago

Choose the correct answer from the options given below:

If the matrix \(\left[\begin{array}{ccc}-3 & x-y & 5 \\ 1 & 0 & z \\ x+y & 4 & 7\end{array}\right]\) is symmetric, then the correct option of the following, is :