Arrange the following electromagnetic waves in increasing order of their frequency.
A. Television and FM radio waves
B. X-rays
C. Long radio waves
D. Microwaves
E. Infrared red waves
Choose the correct answer from the options given below:

The magnitude of the magnetic field due to a short bar magnet having a magnetic moment of 0.2 \( \text{Am}^2 \), at a distance of 50 cm from the centre of the magnet on its axial line will be:

The variation of resistivity of a metallic conductor with temperature is given correctly by which of the following relations?
(Where \( \rho_T \) is the resistivity at a temperature T and \( \rho_0 \) is the resistivity at a reference temperature \( T_0 \), \( \alpha \) is the temperature coefficient of resistivity, \( T > T_0 \))

An alpha-particle moves with a speed of \( (5 \times 10^5 \hat{i}) \text{ m s}^{-1} \).
It enters a region where there is a magnetic field of magnitude 4 T,
directed at an angle of 45° to the X-axis and lying in the XY-plane.
The magnitude of magnetic force on the alpha-particle is:

The potential of a uniformly charged spherical shell at a point \( r/2 \) from its centre is \( 5 \text{ V} \). The potential at its surface is :(Given radius of shell \( = r \))

Which quantity will change on increasing the separation between the plates of a charged parallel plate capacitor ?

For a full wave rectifier, if the input frequency is 50 Hz, the output frequency will be:

An infinite line of charge has a linear charge density of \(10^{-7} \text{ C m}^{-1}\). The magnitude of the force acting on a charge \(6.4 \times 10^{-19} \text{ C}\) kept at a distance of 8 cm from the line of charge is

Which statement is/are true for Gabriel phthalimide synthesis?
A. It is used for the preparation of primary and secondary amines
B. It is only used for the preparation of primary amines
C. Aromatic primary amines can not be prepared by this method
D. Only tertiary amines can be prepared
Choose the correct answer from the options given below:

The peak value of the electric field associated with an electromagnetic wave traveling through vacuum is \( 8.1 \, \text{N}\cdot\text{C}^{-1} \). The peak value of the associated magnetic field will be:

Read the passage carefully and give the answers to the question :
India was amongst the first countries in the world to initiate action plans and programmes at a national level to attain total reproductive health as a social goal.
These programmes called 'family planning' were initiated in 1951 and were periodically assessed over the past decades. Improved programmes covering wider reproduction-related areas are currently in operation. Creating awareness among the people about various reproduction-related aspects and providing facilities and support for building up a reproductively healthy society are the major tasks under these programmes.
Which of the following is not a Sexually Transmitted Disease?

If \(\vec{a}=2 \hat{i}-3 \hat{j}+\hat{k}\) and \(\vec{b}=2 \hat{i}+\hat{j}-\hat{k}\), then which of the following statements is/are correct?
(A) \(\vec{a}\) and \(\vec{b}\) are collinear
(B) \(\vec{a}\) and \(\vec{b}\) are perpendicular
(C) Angle between \(\vec{a}\) and \(\vec{b}\) is \(\frac{\pi}{4}\)
(D) \(|\vec{a}+\vec{b}|=2 \sqrt{5}\)
Choose the correct answer from the options given below:

Read the passage below and answer the question:
The accumulation of molecular species at the surface rather than in the bulk of a solid or liquid is termed as adsorption. There are two types of adsorption. In physisorption, attractive forces are mainly Van der Waals while in chemical adsorption adsorbate is held with chemical bonds adsorbent. Adsorption increases with increase in pressure and decreases as temperature is du increased.
Adsorption is spontaneous because: