An electromagnetic wave moves in vacuum. Its speed is c.
Choose the correct options about the characteristics of electromagnetic waves:
(A) \( c = \frac{1}{\sqrt{\mu_0 \epsilon_0}} \)
(B) Electromagnetic waves are transverse in nature.
(C) Both the electric field and magnetic field vibrate perpendicular to the direction of propagation of waves
(D) Electromagnetic waves are longitudinal in nature.
Choose the correct answer from the options given below:

Positively charged particles are projected into a magnetic field. If the direction of magnetic field is along the direction of motion of the charged particles, the particles will experience

The circuits where transformers are used :

Light from a point source in the air falls on a convex spherical glass surface having radius of curvature 20 cm and refractive index 1.5. The distance of the light source from the glass surface is 100 cm. The distance of the image from the glass surface is:

Two antennas A and B have maximum line of sight range R = 45.5 km. If the height of antenna A is 32 m then the height of antenna B is : (Given radius of earth is = 6400 km)

In a series LCR circuit an ac voltage source is connected. When inductor is removed from the circuit, the phase difference between the voltage and the current in the circuit is \( \frac{\pi}{3} \). If capacitor is removed from the circuit instead of inductor, the phase difference is again \( \frac{\pi}{3} \). What is the power factor of the circuit?

A wire of length 4 m carrying current I A is bent in the form of a circle. Its magnetic moment will be :

Read the given passage and answer the following questions:
Secondary treatment or biological treatment: The primary effluent is passed into large tanks where air is pumped into it. This allows vigorous growth of aerobic microbes. While growing, these microbes consume the major part of the organic matter in the effluent. This significantly change the BOD (biochemical oxygen demand) of the effluent. The effluent in then passed into a tank a small part of the sludge is pumped back into the aeration tank to serve as the inoculum. The remaining major part of the sludge is pumped into large tanks called sludge digesters. Here, other kinds of bacteria grow anaerobically in the sludge. The biogas produced can be used source of energy as it is inflammable. The effluent from the secondary treatment plant is generally released into natural water bodies like rivers and streams.
The anaerobic sludge digester

The value of b for which the function \(f(x) = \sin x - bx + C\), where b and C are constants is decreasing for \(x \in R\) is given by

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

Match List - I with List - II.

List - I	List - II
(A) \(Ni ^{2+}\)	(I) Pink
(B) \(Cu ^{2+}\)	(II) Purple
(C) \(Mn ^{2+}\)	(III) Green
(D) \(Ti ^{3+}\)	(IV) Blue

Choose the correct answer from the options given below :

When a piece of metal is illuminated by monochromatic light of wavelength λ, the stopping potential for photoelectric current is 2.5 V0. When the same surface is illuminated by light of wavelength 1.5 λ, the stopping potential becomes V0. The value of threshold wavelength for photoelectric emission is:

The DNA fingerprinting technique is based on -