An electromagnet has stored 540 J of magnetic energy when a current of 6 A exists in its coil. What is the value of average emf induced, if the current is reduced to zero in 0.54s?

Match List I with List - II.

List - I	List - II
(A) X-rays	(I) Excitation of Atom
(B) UV rays	(II) Oscillating current
(C) y-rays	(III) Sudden retardation of high energy electron
(D) Radiowaves	(IV) Nuclear origin

Two capacitors of capacitances \(3 \mu F\) and \(6 \mu F\) are charged to potentials of \(2 V\) and \(3 V\), respectively. Now, if they are connected in parallel, the charge on each of the two capacitors, will be

Self Inductance of coil causes :

Match List - I with List - II.

List I	List II
(A) Direction of induced current in a conductor moving in a magnetic field.	(I) Ampere's swimming rule
(B) Direction of the magnetic field due to a current carrying long wire	(II) Fleming's left hand rule
(C) Force experienced by a moving charged particle in the magnetic field	(III) Fleming's right hand rule
(D) Direction of deflection of magnetic needle due to current in the wire	(IV) Right hand rule

Choose the correct answer from the options given below :

A telescope has an objective of focal length 50 cm and eyepiece of focal length 5 cm. The least distance of distinct vision is 25 cm. The telescope is focused for distant vision on a scale 200 cm away from the objective. Calculate the separation between objective and eyepiece :

The angle of dip at equator is

Read the following paragraph carefully and answer the given questions.
Certain types of leukocytes (WBC) of our body like polymorpho-nuclear leukocytes (PMNL-neutrophils) and monocytes and natural killer (type of lymphocytes) in the blood as well as macrophages in tissues can phagocytose and destroy microbes. For determining the cause of allergy, the patient is exposed to or injected with very small doses of possible allergens, and the reactions studied. The use of drugs like anti-histamine, adrenalin and steroids quickly reduce the symptoms of allergy. Heroin, commonly called smack is chemically diacetylmorphine which is a white, odourless, bitter crystalline compound. This is obtained by acetylation of morphine. 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. 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.
Heroin, commonly called smack is chemically __________ which is a white, odourless, bitter crystalline compound.

If the function \(f: R \rightarrow R\) be defined by \(f(x)=x^2-1\), then \(f^{-1}(8)\) is:

The area bounded by the curve \(y=x^2|x|, x\)-axis and the ordinates \(x=-1\) and \(x=0\) is given by :

Shown below is the graph of parabola \(y^2=x\), the area (in sq. units) of the shaded region is:

Match List-I with List-I

List-I	List-II
A. Electric field outside a uniformly charged thin spherical shell	(I) zero
B. Electric field inside a uniformly charged thin spherical shell	(II) \(\frac{\lambda}{2 \pi \epsilon_0 r} \vec{n}\)
C. Electric field due to an infinitely long straight uniformly charged wire	(III) \(\frac{\sigma}{2 \epsilon_0} \vec{n}\)
D. Electric field due to a uniformly charged infinite plane sheet	(IV) \(\frac{k q}{r^2} \vec{r}\)

Choose the correct answer from the options given below:

Two long and parallel straight wires A and B carrying currents of 10.0 A and 5.0 A in the same direction are separated by a distance of 5.0 cm. Estimate the force on a 10 cm section of wire A.