The Wheatstone bridge is an arrangement of four resistances \( R_1, R_2, R_3, R_4 \) as shown in the figure given below. The null-point condition is not given by:

Which of the following has the maximum penetration power ?

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:

A circular loop of area \( A = 0.01 \text{ m}^2 \) carrying a current of \( I = 10 \text{ A} \), is held in a magnetic field of \( B = 0.1 \text{ T} \) parallel to the plane of the loop. The torque acting on the loop is-

The energy in the sun is generated mainly by:

A parallel beam of monochromatic light of wavelength 489 nm passes through a single slit of width 0.3 mm. The angular width of the central maxima is

The angular momentum of an electron in the third orbit of a hydrogen atom is
(Given: \( h = 6.6 \times 10^{-34} \text{ Js} \))

Assuming \(\text{[NiCl}_4\text{]}^{2-}\) as Complex-A and \(\text{[Ni(CO)}_4\text{]}\) as Complex-B, choose the correct statement.
(Atomic number of Ni = 28)

The system of equations \(2 x+\lambda y=8, \lambda x+8 y=3\) has a unique solution if the value of \(\lambda\) is (are):

Read the following passage carefully and answer the given questions.
Cancerous cells just continue to divide giving rise to masses of cells called tumors. Benign tumors normally remain confined to their original location and do not spread to other parts of the body and cause little damage. The malignant tumors, on the other hand are a mass of proliferating cells called neoplastic or tumor cells. Transformation of normal cells into cancerous neoplastic cells may be induced by physical, chemical or biological agents. Ionising radiations like X-rays and gamma rays and non-ionizing radiations like UV cause cancer. Cancer-causing viruses are called oncogenic viruses which have viral oncogenes. The substances to which an immune response is produced are called allergens. The antibodies produced to these are of IgE type. Common examples of allergens are mites in dust, pollens, animal dander, etc. The primary lymphoid organs are bone marrow and thymus. The secondary lymphoid organs provide the sites for interaction of lymphocytes with the antigen, which then proliferate to become effector cells.
The tumors that remain confined to their original location and do not spread to other parts of the body are:

Corner points of the feasible region for LPP are: \((4,0),(0,5),(7,0),(5,2)\) and \((0,3)\). Let \(Z=3 x+6 y\) be the objective function. Then, the value of (Max. \(Z-\) Min. \(Z\) ) i :

Answer the question on basis of passage given below :
Lyophobic sols like those of metals (Au, Ag, etc) are unstable and are easily precipitated by addition of electrolytes. However, it is observed that the addition of certain lyophilic colloids like gums, soaps, gelatine, etc. to lyophobic colloids (like a metal sol) render lyophobic colloids difficult to coagulate by the addition of electrolytes. The process is known as 'protection' and the lyophilic colloids are termed as Protective colloids. It is believed that the protective action of the lyophilic colloids is due to the covering up of the particles of the lyophobic colloid by those of the lyophilic colloid.
Evidently, smaller the gold number of a protective colloid, the greater is its protective action.
Which of the following has the highest flocculating power for a positive sol?

Evaluate \(: 3^{15} \bmod (7)\)