A telescope has an objective lens of focal length 150 cm and an eyepiece of focal length 5.0 cm. The magnifying power of the telescope is

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.

A needle of length 4.5 cm is placed vertically 12 cm away from a convex mirror of focal length 15 cm. The magnification of the image produced is

Ferromagnetic material core used for transformer must have

Choose the correct statements, when a cell of emf E and internal resistance r connected to external resistance R having current I flowing through the circuit is:
A. Potential difference across the terminals of the cell in a closed circuit having resistance R is always less than the emf.
B. For practical calculations, the internal resistance of the cells in the circuits may be neglected when the current I is such that E >> I.
C. Terminal potential difference in a closed circuit is always more than emf E.
D. Terminal potential difference versus current graph for a cell with closed circuit having resistance R is a straight line with a negative slope.
Choose the correct answer from the options given below:

A system has two charges, \( q_A = 5 \times 10^{-7} \, \text{C} \) and \( q_B = -5 \times 10^{-7} \, \text{C} \), located at points \( A : (0, 0, -10 \, \text{cm}) \) and \( B : (0, 0, +10 \, \text{cm}) \), respectively. Which of the following are true?
(A) The electric field of dipole at point (0, 0, -15 cm) is \( 1.73 \times 10^6 \, \text{NC}^{-1} \)
(B) Electric field intensity is zero at origin (0, 0, 0)
(C) dipole moment \( (p) = 5 \times 10^{-8} \, \text{C-m} \)
(D) direction of the dipole moment is along the negative z- axis
Choose the correct answer from the options given below:

Which of the following causes electric conduction in a semiconductor?

Let \(A\) be a square matrix of order 3 then \(|3 A|\) is equal to

Match List-l with List-ll

List-I	List-II
(A) Wurtz-Fittig reaction	(I) \(\ CH_3COCI\) and Anhyd. \(\ AICI_3\)
(B) Chiral	(II) CFCs
(C) Friedel-Crafts Acylation	(III) Alkylarene
(D) Freons	(IV) Non-superimposable mirror images

Choose the correct answer from the options given below:

Read the following paragraph and answer the given questions.
Cancer detection is based on biopsy and histopathological studies. Techniques like radiography (use of X-rays), CT (computed tomography) and MRI (magnetic resonance imaging) are very useful to detect cancers of the internal organs. Do you know why mother's milk is considered very essential for the new-born infant? The yellowish fluid colostrum secreted by mother during the initial days of lactation has abundant antibodies (IgA) to protect the infant. Different species of Plasmodium (P. vivax, P. malaria and P. falciparum) are responsible for different types of malaria. Of these, malignant malaria caused by Plasmodium falciparum is the most serious one and can even be fatal. The exaggerated response of the immune system to certain antigens present in the environment is called allergy. The use of drugs like anti-histamine, adrenalin and steroids quickly reduce the symptoms of allergy. Drugs like barbiturates, amphetamines, benzodiazepines, and other similar drugs, that are normally used as medicines to help patients cope with mental illnesses like depression and insomnia, are often abused. Morphine is a very effective sedative and painkiller, and is very useful in patients who have undergone surgery..
The drug, which is very effective sedative and painkiller and useful for patients who have undergone surgery is -

In the adjoining figure, the inequality representing AB is :

For a fixed volume of liquid solvent, the solubility of a gaseous solute depends upon......
(A) Nature of the gas.
(B) Pressure at constant temperature.
(C) Temperature at constant pressure.
(D) Nature of solvent.
Choose the correct answer from the options given below:

Which of the following statement is not correct for Butan-2-ol?