Masses of three wires of copper are in the ratio of \(1: 3: 5\) and their lengths are in the ratio of 5:31. The ratio of their electrical resistance are:

The relative motion between the magnet and a coil is responsible for generation (induction) of electric current in the coil. This is in accordance with

Electrical potential V and electric flux \( \phi \) are :

A long straight wire of a circular cross-section of radius 'a' is carrying steady current I. The current I is uniformly distributed across this cross-section. What will be the magnetic field in the region \( r < a \) and \( r > a \)?

Speed of Electromagnetic wave is not the same :

For a transistor, which of the following statement is true ?

Match List-I with List-II

List-I	List-II
(A) 1T	(I) V s
(B) 1H	(II) \( 1m^2 A \)
(C) \( JT^{-1} \)	(III) \( \frac{Wb}{m^2} \)
(D) 1Wb	(IV) Wb/A

Choose the correct answer from the options given below :

Match List I with List II

LIST I	LIST II
A. \(\int \sin x \cos x d x\)	I. \(\log _e\left(1+\sin ^2 x\right)+C\)
B. \(\int \frac{d x}{\sin ^2 x \cos ^2 x}\)	II. \(\tan \frac{x}{2}+C\)
C. \(\int \frac{\sin 2 x}{1+\sin ^2 x} d x\)	III. \(-\frac{1}{4} \cos 2 x+C\)
D. \(\int(1-\cos x)\operatorname{cosec}^2 x d x\)	IV. \(\tan x-\cot x+C\)

Which one of the followings has the ability to transform normal cells into cancerous cells in animals?

The number of solutions of the system of equations
\(\begin{array}{l}\alpha^2 x+\alpha y=-1 \\\alpha x+\alpha^2 y=1\end{array}\)
is infinite. Then \(\alpha\) is:

Read the passage carefully and answer the Questions
Haloalkanes undergo nucelophilic substitution reactions owing to the polarity of CX bond. The nucleophile reacts with the haloalkane on the carbon possessing a partial positive charge holding the halogen atom. The halogen atom X is replaced by a nucleophile. Depending on the kinetics and mode of bond breaking, the mechanism can be either SN1 or SN2 reaction. The rate of SN1 reaction is governed by the stability of carbocation and in SN2 reaction, the rate of reaction is governed by steric factor. Chirality is the main factor in both SN1and SN2. In SN1 reaction, the chirality of alkyl halide is accompanied by racemization of the product, while in SN2 reaction, the product is characterized by inversion of configuration. The structure of alkyl halide and the nature of the solvent also governs the mechanism of the substitution.
What is meant by the term racemic mixture?

If A and B are two square symmetric matrices of same order, then AB-BA is

Arrange the given stages in spermatogenesis sequentially :
(A) Spermatid
(B) Primary spermatocytes
(C) Spermatogonia
(D) Secondary spermatocytes
Choose the correct answer from the options given below: