From the following diagram, determine the direction of propagation of an electromagnetic wave.

Two large plane parallel sheets with equal but opposite surface charge densities +\(\sigma\) and -\(\sigma\). A point charge q placed at points \(P_1, P_2,\) and \(P_3\) experiences forces \(F_1, F_2,\) and \(F_3\) respectively. Then :

Identify the correct statements:
(A) A magnetic field exerts force on a moving charge and not on a stationary charge.
(B) A moving charge produces a magnetic field.
(C) The magnetic field at a point on the axis of a current element is zero.
(D) Magnetic field \( \vec{B} \) is tangential to a magnetic field line.
Choose the correct answer from the options given below:

The winding of the solenoid with 1000 turns per meter, core material with relative permeability 400 and carrying a current of 2 A, the magnetisation (M) is approximately given by :

The intensity of a plane monochromatic wave is \( 1380 \text{ Wm}^{-2} \). What is the amplitude of electric field in this wave ? (Take speed of light \( 3 \times 10^{8} \text{ ms}^{-1} \); \( \epsilon_{0} = 8.85 \times 10^{-12} \text{ C}^{2}\text{N}^{-1}\text{m}^{-2} \))

The magnetic moment of a current loop is \( 2.1 \times 10^{-25} \text{ A m}^{2} \). The magnetic field on the axis of the loop at a distance of 1.0 \( \text{\AA} \) from the loop would be : (Given radius of loop negligible)

If the kinetic energy of the particle is increased to 16 times its previous value. The percentage change in de Broglie wavelength of the particle is:

What is the name of the reaction when acetamide is converted to methylamine?

A proton is moving in a circular path of radius R in a uniform magnetic field B. It carries a kinetic energy of 2 MeV. What should be the energy of an \(\alpha\)-particle to move in a circle of same radius in the same field ?

If \(x\) is real, the minimum value of \(f(x)=x^2-8 x+20\) is :

Read the following passage carefully and answer the given questions.
Theory of Evolution
The evolution of life is a gradual process through which simple organisms are transformed into complex life forms over billions of years. It involves genetic changes, adaptation to the environment, and the emergence of diversity in species. Fossil records provide evidence of extinct life forms and transitional stages. Evolution is influenced by factors such as mutation, genetic recombination, and environmental pressure, shaping the biodiversity we see today. Charles Darwin and Alfred Russel Wallace were pioneering naturalists who developed the theory of evolution by natural selection.
Alfred Russel Wallace, a naturalist, arrived at conclusions similar to Darwin while working in:

For finding absolute maximum and minimum values of a function \(f\) given by
\(f(x)=2 x^3-15 x^2+36 x+1 \text { on }[1,5]\)
A. the critical points in \((1,5)\) are 2 and 3 .
B. the absolute maximum value of \(f\) on \([1,5]\) is 29 .
C. the absolute minimum value of \(f\) on \([1,5]\) is 24 .
D. the absolute minimum value of \(f\) on \([1,5]\) is 20 .
E. we evaluate the value of \(f\) at critical points and at the end points of the interval \([1,5]\).
Choose the correct answer from the options given below:

If \(K\) is such that the area of triangle \(A B C\) is 3 , where \(A(1,3), B(0,0)\) and \(C(K, 0)\), then the value(s) of \(K\) is/are: