An electron of mass \( 9.11 \times 10^{-31} \text{ kg} \) is moving with velocity \( 5.4 \times 10^6 \text{ m/s} \). Its momentum will be

In a Wheatstone Bridge, all the four arms have equal resistance r. If the resistance of the galvanometer arm is also equal to r, the equivalent resistance of the combination will be

The peak value of the electric field associated with an electromagnetic wave traveling through vacuum is \( 8.1 \, \text{N}\cdot\text{C}^{-1} \). The peak value of the associated magnetic field will be:

"In the nuclear reaction below, a neutron hits a uranium nucleus.
\( n + ^{235}_{92}\text{U} \rightarrow ^{a}_{54}\text{Xe} + ^{94}_{b}\text{Sr} + 2n \)
The values of a and b are respectively :

The wavelength range of X-rays is:

Arrange the following electromagnetic waves in increasing order of their wavelengths.
(A) Visible Light
(B) Microwave
(C) X rays
(D) Infra-red rays
Choose the correct answer from the options given below:

In Young's double slit experiment, two slits are 2 mm apart and the screen is 2 m away from the slits. A light source having two wavelengths 4000 \( \text{\AA} \) and 6000 \( \text{\AA} \) is used.
The minimum distance from the centre of the screen where the bright fringes produced by both wavelengths coincide is :

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?

If the lines \(\frac{1-x}{3}=\frac{y-2}{2 \lambda}=\frac{z-3}{2}\) and \(\frac{x-1}{3 \lambda}=\frac{y-1}{1}=\frac{6-z}{5}\) are perpendicular, then the value of \(\lambda\) is:

"Match List-l with List-ll

List-l (Terms)	List-II (Features)
(A). Amniocentesis	(I). Maternal mortality rate
(B). MMR	(II). Surgical method of contraception
(C). Periodic abstinence	(III). Process to test genetic disorders in foetus
(D). Vasectomy	(IV). Natural method of contraception

Choose the correct answer from the options given below: "

The rate of change in area of a triangle having sides 10 cm and 12 cm when the variable angle between them is \(\theta=60^{\circ}\), is :

Read the given paragraph and answer the question:
Humans have 23 pairs of chromosomes. 22 pairs are exactly same in both males and females; these are the autosomes. A pair of X-chromosome are present in the female, whereas the presence of an X and Y chromosome are determinant of the male characteristic.
A number of disorders in human beings have been found to be associated with the inheritance of changed or altered genes or chromosomes. Broadly, genetic disorder may be grouped into two categories-Mendelian disorders and Chromosomal disorders.
A haemophilic man marries a normal woman. What is the possibility that their child have haemophilia?

Match List-I with List-II
Let A and B are two events such that \(P ( A )=0.8, P ( B )=0.5, P ( B \mid A )=0.4\)

List-I	List-II
(A) \(P(A \cap B)\)	(I) 0.2
(B) \(P(A \mid B)\)	(II) 0.32
(C) \(P(A \cup B)\)	(III) 0.64
(D) \(P\left(A^{\prime}\right)\)	(IV) 0.98

Choose the correct answer from the options given below: