Given below are two statements:
Statement I : There is a need to translate the original low frequency base band signal into high radio frequency before transmission
Statement II : To transmit a signal an antenna is required. As frequency increases size of antenna decreases.
In the light of the above statements, choose the most appropriate answer from the options given below.

What is the mathematical expression for potential gradient?

The bottom of a container is a 6 cm thick glass slab \((\mu=1.5)\).
The container contains a thick layer of water ( \(\mu_w=1.33\) ), 4 cm on top of the glass.
What is the apparent position of a scratch on the outer surface of the bottom of the glass slab
when viewed through the container?

Match List-I with List-II

List-I	List-II
(A) \( \oint {B} \cdot d{s} = 0 \)	(I) magnetic field lines
(B) Directional property of freely suspended magnet	(II) circulating ions
(C) Never intersect each other	(III) torque on magnetic dipole
(D) Magnetic field of earth	(IV) monopoles in magnetism do not exist

Choose the correct answer from the options given below :

In the circuit shown in the figure, the ac source gives a voltage of V = 10 cos (500t). The ammeter reading will be :

Which of the following statements are correct?
A. In a region of free space with electric field E, there is an energy density \( \frac{1}{2}\epsilon_0 E^2 \)
B. An electromagnetic wave contains both electric and magnetic field.
C. Electromagnetic waves do not exert pressure
D. Hertz could not establish the wave nature of radiation.
E. No material medium is required for vibrations of electric field and magnetic field.

An a.c. voltage source of fixed amplitude \( E_0 \) and variable angular frequency \( \omega \) is connected with an electric bulb of resistance R (inductance zero) and a capacitor of capacitance C in series. On increasing the angular frequency of the source, the total impedance of the circuit

The solution set of the linear inequation \(|4 x-3| \leq \frac{3}{4}\) is :

Read the following passage carefully and answer the given questions.
Cancerous cells just continue to divide giving rise to masses of cells called tumors. Benign tumors normally remain confined to their original location and do not spread to other parts of the body and cause little damage. The malignant tumors, on the other hand are a mass of proliferating cells called neoplastic or tumor cells. Transformation of normal cells into cancerous neoplastic cells may be induced by physical, chemical or biological agents. Ionising radiations like X-rays and gamma rays and non-ionizing radiations like UV cause cancer. Cancer-causing viruses are called oncogenic viruses which have viral oncogenes. The substances to which an immune response is produced are called allergens. The antibodies produced to these are of IgE type. Common examples of allergens are mites in dust, pollens, animal dander, etc. The primary lymphoid organs are bone marrow and thymus. The secondary lymphoid organs provide the sites for interaction of lymphocytes with the antigen, which then proliferate to become effector cells.
The primary lymphoid organs are:

Read the given passage and answer the question.
ABO blood groups in human beings are controlled by the gene I. The plasma membrane of the red blood cells has sugar polymers that protrude from its surfaces and the kind of sugar is controlled by the gene. The gene (I) has three alleles IA, IB and I. The alleles IA and IB produce a slightly different form of the sugar while allele i does not produce any sugar. Because humans are diploid organisms, each person possesses any two of the three I gene alleles, IA and IB are completely dominant over i.
The genotype of Universal donor is:

'Statins', are produced by which of the following microbe?

For which pair among the following, the refractive index will have the minimum and maximum value, respectively ?

A spherical metallic conductor of radius \(6 . 0 ~ c m\) is held in air. The maximum charge it can hold if
dielectric strength of air is \(20 kV / cm\) will be :
\(\left(\text { Take } \frac{1}{4 \pi \epsilon_0}=9 \times 10^9 N m^2 C^{-2}\right)\)