An open glass tube is immersed in mercury in such a way that a length of 8 cm extends above the mercury level. The open end of the tube is then closed and sealed and the tube is raised vertically up by additional 46 cm. What will be length of the air column above mercury in the tube now?

What are the four stages of binary fission in amoeba?

Rita performs two set of experiments to study the length of the foam formed which are as follows:

Set I: she takes 10 ml of distilled water in test tube “A” and adds 5-6 drops of liquid soap in it and shakes the test tube vigorously.

Set II: she takes 10 ml of distilled water in a test tube “A” and adds 5-6 drops of liquid soap with half spoonful of CaSO 4 in it and shakes the test tube. Write your observation and reason

What do you observe when you drop a few drops of acetic acid to a test tube containing:

(a) Phenolphthalein

(b) Distilled water

(c) Universal indicator

(d) Sodium hydrogen carbonate

Define phytohormones and Give two functions of each: (i) **Auxin** (ii) **Gibberellins** (iii) **Abscissic acid** (iv) **Ethylene**

Why It is more difficult to walk on ice than on a concrete road ?

Can some one please let me know in which galaxy the earth is located?

A box of mass m is initially at rest on a horizontal surface. A constant horizontal force of mg/2 is applied to the box directed to the right. The coefficient of friction of the surface changes with the distance pushed as µ = µ0x where x is the distance from the initial location. For what distance is the box pushed until it comes to rest again?

The mean lives of a radioactive sample are 30 years and 60 years for alpha-emission and beta–emission respectively. If the sample decays both by alpha–emission and beta–emission simultaneously, the time after which, only one-fourth of the sample remain is

In how ways can 6 coins be chosen from 20 one rupees coins, 10 fifty paise coins, 7 twenty paise coins.

A 200 mL of solution of I2 is divided into two unequal parts. I part reacts with hypo solution in acidic medium, 30 ml of 0.2 M hypo was consumed, II part was added with 50 mL of 0.6 M NaOH solution. What was the initial concentration of I2.

The ratio of cationic radius to anionic radius in an ionic crystal is greater than 0.732. Its coordination number is?

A cubic unit cell has one atom on each corner and one atom on each body diagonal. The number of atoms in the unit cell is ?

Crystal systems in which no two axial lengths are equal are?

Nitrogen exit as but phosphorus exit as why?

The total number of neutrons present in 108 ml H2O(l)?

A card is lost from a pack of 52 playing cards. From the remainder of the pack, one card is drawn and is found to be spade. The probability that the missing card is a spade is?

A spherical conductor of radius 3 m is charged to a potential of 90 V. It is now placed inside another hollow spherical conductor of radius 6 m. Calculate the potential of bigger sphere if the smaller sphere is made to touch the bigger sphere?

Write the set of all positive integers whose cube is odd.

A bag contains 50 tickets, numbered from 1 to 50. One ticket is drawn at random. What is the probability that

(i) number on the ticket is a perfect square or divisible by 3 ?

(ii) number on the ticket is prime number or greater than 40 ?

A mass (M) is split into two parts (m) and (M–m). Which are then separated by a certain distance. What ratio m M will maximise the gravitational force between the parts ?A mass (M) is split into two parts (m) and (M–m). Which are then separated by a certain distance. What ratio m/ M will maximise the gravitational force between the parts ?

Two stationary particles of masses M1 and M2 are at a distance 'd' apart. A third particle lying on the line joining the particles, experiences no resultant gravitational forces. What is the distance of this particle from M1 ?

Departure from reason, focus on nature and the supernatural are all features of the literature of what period?

From a group of 8 boys and 5 girls a committee of 5 is to be formed. Find the probability that the committee contains 3 boys and 2 girls?

Find the differential equation of the family of all circles which pass through the origin and whose centre lie on y–axis?

A pair of dice is thrown 7 times. If getting a total of 7 is considered a success, what is the probability of

- no success ?
- 6 successes ?
- at least 6 successes ?
- at most 6 successes ?

A problem in statistics is given to three students A, B and C. Their chances of solving the problem are 1/3, 1/4 and 1/5 respectively. If all of them try independently, what is the probability that?

- (i) problem is not solved ?
- (ii) problem is solved ?
- (iii) exactly two students solve the problems

A pair of dice is thrown. If sum of the numbers is an even number, what is the probability that it is a perfect square ?

How many half-lives should eclapse for a 1^{st} order reaction A → products so that the reaction is atleast 95% completed?

a) 4

b) 5

c) 6

d) 7

The rate of a certain reaction depends on concentration according to the equation :

What will be the order of reaction, when concentration (C) :

a) very-very high

b) very-very low

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A wire has resistance of 24 is bent in the following shape. The effective resistance between A and B is?

An electrical cable of copper has just one wire of radius 9 mm. Its resistance is 5 ohm. This single copper wire of the cable is replaced by 6 different well insulated copper wires each of radius 3 mm. The total resistance of the cable will now be equal to?

A short bar magnet with its north pole facing north forms a neutral point at P in the horizonatal plane. If the magnet is rotated by 90° in the horizontal plane, the net magnetic induction at P is (Horizontal component of earth's magnetic field = BH )

An equation of the plane passing through the points (3, 2, –1), (3, 4, 2) and (7, 0, 6) is 5x + 3y – 2z = l, where l is

The maximum peak to peak voltage of an AM wire is 24 mV and the minimum peak to peak voltage is 8 mV. The modulation factor is?

A drunken man takes a step forward with probability 0.4 and backwards with probability 0.6. Find the probability that at the end of eleven steps, he is one step away from the starting point?

A dice is tossed 5 times. Getting an odd number is considered a success. Then the variance of distribution of success is?

A thermally insulated vessel contains an ideal gas of molecular mass M and ratio of specific heats g. It is moving with speed v and it's suddenly brought to rest. Assuming no heat is lost to the surroundings, its temperature increases by:

A particle performs S.H.M. of amplitude A along a straight line. At two positions of the particle, the ratio of speeds is 1/2 and that of potential energy is 1/2 also. Then one position of them (distance from mean position) nearest to the extreme is :

If the frequency of a wave is increased by 25 %, then the change in its wavelength will be: (medium not changed)

A chain of uniform mass density is hanging as shown in figure.The total mass is M and the length is l.When chain is completely fall from the table then what will be the speed of chain?

A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor?

On moving a charge of 20 coulomb by 2 cm, 2 J of work is done, then the potential difference between the points is?

A particle of mass 10 gm is placed in a potential field given by

The frequency of oscillation in cycle/sec is ?