The far point of a myopic person is 80 cm. The power of corrective lens will be

A closed surface in vacuum encloses charges \( - q \) and \( + 3q \). Another charge \( - 2q \) lies out side the surface. The total electric flux over the surface is :

In experimental arrangement to study photoelectric effect, here M, N, O and P respectively are

(A) Commutator
(B) Evacuated glass tube
(C) Quartz window
(D) Photosensitive plate
Choose the correct answer from the options given below:

In a series LCR circuit, \( R = 1 \text{ k}\Omega, C = 2 \text{ } \mu\text{F} \) and the voltage across R is 100 V at resonant frequency \( \omega = 200 \text{ rad/s} \). At resonant frequency, the voltage across L is:

The current sensitivity of a galvanometer increases by 10%. If its resistance also increases by 20%, the voltage sensitivity will

Two charges \( 5 \mu C \) and \( - 2 \mu C \) (with no external field) are placed at \( (-9 \text{ cm}, 0, 0) \) and \( (9 \text{ cm}, 0, 0) \) respectively. The work required to separate the two charges infinitely away from each other is :

Match List-I with List-II

List-I	List-II
(A) Low mass number nuclei	(I) Medium penetrating power
(B) Electron microscope	(II) Nuclear reactor
(C) Beta decay	(III) Diffracted electron
(D) \( {}^{235}_{92}\text{U} \)	(IV) Fusion

Choose the correct answer from the options given below :

A galvanometer having a resistance of \(7 \Omega\) is shunted by a resistance of \(3 \Omega\). If the total current is 1 A, the value of current passing through the shunt is

Two waves of amplitudes 3 m and 2 m, respectively superimpose at a point in the same phase. The resultant amplitude would be:

An angular magnification of 30 X is desired using an objective lens of focal length 1.25 cm and an eyepiece of focal length 5 cm. What should be the separation between objective and eyepiece when the final image is formed at the near point ?

Match List - I with List - II.

List - I	List - II
(A) \(XeF _6\)	(I) Disproportionation Reaction
(B) Liquid Helium	(II) Thermodynamically unstable
(C) \(FNO _2\)	(III) MRI
(D) \(O _3\)	(IV) Distorted octahedral

Choose the correct answer from the options given below :

We use microbes and microbially derived products almost every day. Bacteria called lactic acid bacteria (LAB) grow in milk to convert it into curd. The dough, which is used to make bread, is fermented by yeast called Saccharomyces cerevisiae. Microbes are used to produce industrial products like lactic acid, acetic acid and alcohol, which are used in a variety of processes in the industry. However, certain bacteria, which grow anaerobically on cellulosic material, produce large amount of methane along with CO2 and H2. These bacteria are collectively called methanogens, and one such common bacterium is Methanobacterium. These bacteria are commonly found in the anaerobic sludge during sewage treatment. Microbes are also used for commercial and industrial production of certain chemicals like organic acids, alcohols and enzymes.
Examples of acid producers are Aspergillus niger (a fungus) of citric acid. You are familiar with the commonly used antibiotic Penicillin. Do you know that Penicillin was the first antibiotic to be discovered, and it was a chance discovery? Statins produced by the yeast Monascus purpureus have been commercialised as blood-cholesterol lowering agents. It acts by competitively inhibiting the enzyme responsible for synthesis of cholesterol.
The discovery of penicillin was a chance discovery by Alexander Fleming while working on:

The area bounded by the curve \(y=x|x|, x\)-axis and the ordinates \(x=-1\) and \(x=1\) is given by: