An electron gun emits 3 \(\times 10^{16}\) electrons per second. What electric current does this correspond to ?

A metal wire under constant potential difference, when heated, shows that the drift velocity of the electron :

If the angular velocity of coil in an AC generator is doubled while keeping other parameters constant, the maximum induced emf

At one place on earth, the resultant magnetic field is 0.25 G and the angle of dip is 45°. The horizontal component of earth's magnetic field will be

Two similar coils of radius R are lying concentrically with their planes perpendicular to each other and carrying current I and 2I respectively. What is the resultant magnetic field at the center?

In a coil, the current is changed from 12 A to 24 A in 1 s. The self-induced emf of the coil is 24 V. The change in energy in the coil is

Match List - I with List - II.

List - I (Electromagnetic waves)	List - II (Uses)
(A) Radio waves	(I) Aircraft navigation
(B) Ultraviolet rays	(II) Physical therapy
(C) Infrared waves	(III) Television communication systems
(D) Microwaves	(IV) Kill germs in water purifiers

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The maximum value of \(Z\) for the linear programing problem maximize \(Z=x+y\) subject to the constraints \(x+4 y \leq 8,2 x+3 y \leq 12,3 x+y \leq 9, x \geq 0, y \geq 0\) is :

Read the passage carefully. Attempt the questions.
In our body, cell growth and differentiation is highly controlled and regulated. In cancer cells, there is breakdown of these regulatory mechanisms. Cancerous cells just continue to divide giving rise to masses of cells called tumors. Benign tumors normally remain confined to their original location. The malignant tumors, on the other hand are a mass of proliferating cells. These cells actively divide and starve the normal cells by competing for vital nutrients. Cells sloughed from such tumors reach distant sites through blood, and wherever they get lodged in the body, they start a new tumor there. This property is called metastasis. Transformation of normal cells into cancerous cells may be induced by physical, chemical or biological agents called carcinogens.
Cancer is caused by:
A. Carcinogens
B. Protein rich foods
C. Primary lymphocytes
D. Oncogenes
Choose the correct answer from the options given below:

Match List-I with List-II

List-I (Terms)	List-II (Features)
(A) Bioprocess engineering	(I) Use of bio resources without proper authorisation
(B) Somatic hybridization	(II) Correction of gene defect
(C) Gene Therapy	(III) Fusion of protoplasts from two different organisms
(D) Biopiracy	(IV) Maintenance of sterile ambiance for microbial growth

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Elements of group-15, 16 and 17 form compounds with hydrogen with general formula MH3, H2M and HX (called hydrogen halides). Stability of these hydrides, along with M-H bond strength and basic nature decreases down the group. Boiling point of these hydrides mainly depends on the strength of their inter molecular forces.
Which of the following is liquid at \(20^{\circ} C\) ?
A. HCl
B. HI
C. HF
D. NH3
E. HBr
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Which of the following statement is/are correct for complex \([NiCl_4]^{2-}\) ?
(A) Ni has oxidation state +2
(B) Cl is a weak field ligand
(C) Compound is paramagnetic
(D) \(d s p^2\) hybridisation
(E) Low spin complex
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The reaction of two molecules of 1-chlorobenzene with sodium metal in the presence of dry ether to form diphenyl is known as