Arrange the given associated wavelengths (\(\lambda_1, \lambda_2, \lambda_3 \text{ and } \lambda_4\)) of radiations with the part of the electromagnetic spectrum in decreasing order of magnitude:
(A) \(\lambda_1\) used to detect fracture in bones
(B) \(\lambda_2\) used to kill germs in water purifiers
(C) \(\lambda_3\) used to treat muscular strain
(D) \(\lambda_4\) used to transmit voice communication
Choose the correct answer from the options given below:

Lower half of a convex lens is opaque. The image of an object placed in front will :

The capacitances of three capacitors are in the ratio 2:3:4. Their equivalent capacitance in parallel combination is more than the equivalent capacitance in series combination by (21/26) pF. The capacitances of the capacitors are, respectively:

When a dielectric material placed in uniform electric field, which of the following option is NOT CORRECT:

Four resistors of \( 6 \text{ } \Omega \) resistance each are joined as shown in the figure (bridge or lattice?). The equivalent resistance of the combination is:

The radius of the innermost electron orbit of a hydrogen atom is \( 5.3 \times 10^{-11} \text{ m} \). The radius of the third orbit is:

The half-life of a given radioactive nucleus is 200 days. The mean life of this nucleus is

Two long and parallel straight wires A and B carrying currents of 8.0 A and 5.0 A in the same direction are separated by a distance of 4.0 cm. Estimate the force on 10 cm length of wire B:

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.
Which of the following technique is not very useful to detect the cancers of internal organs?

The unequivocal proof that DNA is the genetic material came from the experiments of -

A random variable X has the following probability distribution

X	2	3	4	5
P(X)	5/k	7/k	9/k	11/k

Then the value of \(\frac{k}{4}\) is

Select the seeds with perisperm from the following options.

Which of the following reagent(s) is required for the conversion of Benzene to methyl benzoate?
(A) \(Br 2 / FeBr 3\)
(B) Mg, dry Ether
(C) \(CO 2, H3O+\)
(D) Methanol, Conc. H2SO4
Choose the correct answer from the options given below :