The meter bridge is a device

Two spheres of silver of same radii, one solid and the other hollow are charged to the same potential, then :

Two inductor coils of self inductance \( L_1 \) and \( L_2 \) having same length and same area of cross-section are placed so close that effective flux in one coil is completely linked with the other. The mutual inductance between them is, is equal to:

Match List-I with List-II

List-I (Electromagnetic waves)	List-II (Wavelength range)
(A) X-rays	(I) 1 mm to 700 nm
(B) Radio waves	(II) 0.1 m to 1 mm
(C) Infrared waves	(III) 1 nm to \( 10^{-3} \) nm
(D) Microwaves	(IV) >0.1 m

Choose the correct answer from the options given below:

If the flux entering and leaving the enclosed surface respectively are \(\Phi_1\) and \(\Phi_2\) then the electric charge inside the surface is :

The power of the composite lens made of two thin lenses of focal lengths \(f_1\) and \(f_2\) placed in contact will be:

Arrange the following radiations in the decreasing order of their energy
(A) Microwaves
(B) \( \gamma \)- rays
(C) AM radio waves (D) Infrared waves
Choose the correct answer from the options given below:

Which one of the following statement is incorrect about ecological pyramids?

The corner points of the feasible region determined by the system of linear inequalities are \((0,0)\), \((2,4),(7,3)\) and \((5,0)\). If the maximum value of \(z=p x+q y\), where \(p, q>0\) occurs at both \((2,4)\) and \((7,3)\), then :

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.

The function \(Z=\alpha x+\beta y(\alpha, \beta>0)\) corresponds to the objective function of an LPP that needs to be maximized subject to \(x+y \leq 1, x, y \geq 0\).
Then the set of optimal solutions is:

Let R be the feasible region for a Linear Programming Problem and let \(z=a x+b y\) be the objective function. If R is bounded, then the objective function z has :

The speed of water current is half the speed of a motor boat.
The motor boat travels 15 km downstream in 1 hour.
Then the time taken to return to the starting point is: