The resistivity of the material of a wire of length 15 m, area of cross-section \( 6 \times 10^{-7} \text{ m}^2 \) and resistance 10 \(\Omega\) will be

The ratio of intensities of two waves is 16:1. If these two are superimposed, What is the ratio of maximum and minimum intensities?

Which of the following statements are true for the minimum deviation position of a prism?
(A). The angle of the prism is twice the angle of refraction.
(B). The refracted ray is parallel to the base of prism.
(C). The angle of incidence is equal to the angle of emergence.
(D). The angle of deviation is half the angle of a prism.
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In a feedback amplifier, if the feedback voltage is in opposite phase, the gain is less than 1. Then it will:

An electron (mass \(9 \times 10^{-31} \text{ kg}\) and charge \(1.6 \times 10^{-19} \text{ C}\)) moving with a speed of \(5.0 \times 10^7 \text{ m/s}\) enters a region of uniform magnetic field of strength 0.04 T which is perpendicular to its velocity. The radius of the circular path it follows is:

Match List - I with List - II.

List - I (Electronic Device)	List - II (Application)
(A) Zener diode	(I) Rectifier
(B) Capacitor	(II) Amplifier
(C) Transistor	(III) Voltage regulator
(D) p-n junction diode	(IV) Filter circuit

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There are four particles A, B, C and D with the same mass and equal kinetic energy K. If the kinetic energy of particle A becomes 4 K, B becomes 9 K, C becomes 64 K and D becomes 16 K times, respectively, the fractional change in the de Broglie wavelength of the particles arranged in increasing order is

The unit of Boiling point Elevation Constant (\(K_b\)) is

\(\text{Ni}^{2+}\) in \([\text{NiCl}_2(\text{H}_2\text{O})_4]\) and \(\text{Fe}^{3+}\) in \([\text{Fe}(\text{CN})_6]^{3-}\) are called:

Match List-l with List-II

List-l (Complex)	List-II (Property)
(A) Fuel Cell	(I) Anode: \(Zn (s) \rightarrow Zn ^{2+}+2 e^{-}\) Cathode: \(MnO _2+ NH _4^{+}+e^{-} \rightarrow MnO ( OH )+ NH _3\)
(B) A secondary cell	(II) Cathode: \(O _2(g)+2 H _2 O (l)+4 e^{-} \rightarrow 4 OH ^{-}(a q)\) Anode: \(2 H _2(g)+4 OH ^{-}(a q) \rightarrow 4 H _2 O (l)+4 e^{-}\)
(C) Mercury cells	(III) \(Pb (s)+ PbO _2(s)+2 H _2 SO _4(a q) \rightarrow 2 PbSO _4(s)+2 H _2 O (l)\)
(D) Leclanche cell (Simplified)	\((I V) Zn ( Hg )+ HgO (s) \rightarrow ZnO (s)+ Hg (l)\)

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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
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An unbiased die is rolled. If the random variable \(X\) is defined as,
\(X=\left\{\begin{array}{ll}1 & \text { if the outcome is a number less than or equal to } 3 \\0 & \text { if the outcome is a number greater than } 3\end{array}\right.\)
Then the probability distribution of \(X\) is :

Arrange the given steps for regulation of gene expression in correct sequence?
(A) Regulation of splicing
(B) Transport of mRNA from the nucleus to the cytoplasm
(C) Translation
(D) Formation of primary transcript (Transcription)
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