1 mL of 10–5 M HCl solution is diluted to 1000 mL. Calculate the pH of the resulting solution?

If a man weighs 90 N on the surface of the Earth, then the height above the surface of the earth of radius R, when the height is where the weight is 30N is

A.0.73R

B. R/√3

C.3R

D.√3R

A sample of a gas initially at 27°C is compressed from 40 litres to 4 litres adiabatically and reversibly. Calculate the final temperature (Cv = 5 cal/mole)

Copper sulphate solution (250 ml) was electrolyzed using a platinum anode and copper cathode. A constant current of 2 mA was passed for 16 minute. It was found that after electrolysis, the absorbance of the solution was reduced to 50% of its original value. Calculate the concentration of copper sulphate ion in the solution to begin with.

Number of ways in which 7 girls & 7 boys can be arranged such that no two boys and no two girls are together is?

The configuration of the C-2 epimer of D-glucose is

In low temperature range fraction of heat supplied to an ideal diatomic gas system, at constant pressure, which bring change in its internal energy is approx.......?

Consider a parabola

and a hyperbola XY = 1. A tangent is drawn to parabola meets the hyperbola in A and B then the locus of midpoint of AB is

The total number of 1 word, 2 word, 3 word sentences that can be formed using the letters of the word SAMSUNG is?

For n => 3 circles, the value of n for which the number of the radical axis is equal to number of radical centres is?

A compound is composed of two elements A and B, element A constitute f.c.c. lattice, while B occupy all the tetrahedral voids, in this way another simple cubic is constituted by element B, inside the fcc unit cell of element A. If all the points/particles along any one edge of inner cube of every unit cell, are missing then what is the new empirical formula of the compound?

The specific heat capacity of a monoatomic gas for the process T*V*V = constant is (where R is gas constant)?

A block of mass 2 kg is attached to one end of a massless rod of length . The rod is fixed to a horizontal plane at the other end such that the block and rod are free to revolve on a horizontal plane. The coefficient of friction between the block and surface is 0.1. Block is made to rotate with uniform speed by applying a constant external force in tangential direction on the block. The work is done by external force when the rod rotates by 90 degree is

In low temperature range fraction of heat supplied to an ideal diatomic gas system, at constant pressure, which bring change in its internal energy is approx.?

The area enclosed between the curves

A block is suspended by an ideal spring constant K. If the block is pulled down by constant force F and if the maximum displacement of the block from it’s the initial position of rest is z, then find the value of z

Resonance Energy of Toluene is 37.5 kcal/mol while that of Benzene is 36 kcal/mole then which of the following explains this difference?

If A is the areal velocity of planet of mass M, its angular momentum is?

In a hypothetical concept, electron of mass me revolveds around nucleus due to gravitational force of attraction between electron and proton of mass mp. If the radius of circular path of electron is r then the speed of electron is ?

Three particles, each of mass 10^-2 kg are brought from infinity to the vertices of an equilateral triangle of side 0.1 m, the work done is :

Masses of three wires are in the ratio 1 : 3 : 5 and their lengths are in the ratio 5 : 3 : 1. The ratio of their electrical resistance is?

A potential difference of V is applied at the ends of a copper wire of length l and diameter d. On doubling only d, drift velocity

The resistance of a wire at 20 C is 20 W and at 500 C is 60W. At which temperature resistance will be 25W

How three resistance of values 2W, 3W and 6 W can be connected to give an effective resistance of 4W?

A particle is moving along a straight line such that dot product of its acceleration a and velocity v is negative. How many times particle can be found at a distance d from the origin?

Two identical discs of mass m and of radius R touch each other and move with the same velocity perpendicularly to the line segment which joins their centres of mass, along the surface of a horizontal smooth tabletop. There is a third disc of mass M and of radius R at rest, at a point on the perpendicular bisector of the line segment joining the centres of mass of the two moving discs as shown in the figure. The two moving discs collide elastically with the third one, which is at rest. There is no friction between the rims of the discs. What should the ratio of M/m be in order that after the collision the two discs of mass m move perpendicularly to their initial velocity?

Ram travels towards east covering 5 km. He takes a left turn and travels 10 km more. Then, he takes a right turn and travels another 5km and finally takes a right turn to cover 10 km. How far is he from his original position?

The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?

A WIRE HAS LINEAR RESISTANCE P. FIND RESISTANCE R B/W PoinT A AND B IF SIDE OF LARGER SQUARE IS D

A wire has linear resistance rho in ohm/m. Find the resistance r between points A and B if the side of the "big" square is d?

10 uc charge is uniformly distributed over thin ring of radius 1m a particle of mass 0.9 g charge 1uc is placed on axis of ring it is displaced towards centre then time period is

1 cm3 of water at its bp absorbs 540 cal of heat to become stream with vol of 1671 cm3 if atmpressur1.013 *10^5 n/m2 and mechanical equivalent of heat =4.19 j/cal energy spent in this process in over coming intermolecular forces

A cylindrical rod with one end in a stream chamber and other end in ice cause melting of 0.1 gm of ice/sec. If the rod is replaced with another rod of half the length and double the radius of first and thermal conductivity of second rod is 1/4 that of first, find the rate of ice melting in gm/sec

Define 'electric line of force' and give its two important properties?

A particle moves in a straight line such that the distance covered by it in time t seconds measured t3 from a fixed point on the line is given by

The acceleration when the velocity is zero is

How many acyclic isomer(s) is/are possible with formula C4H8?

How many minimum numbers of chlorine atom(s) does a polychloride contain, which on hydrolysis forms a beta - keto acid?

A wire of length l and resistance R is bent in the form of a ring. The resistance between two points which are separated by angle is?

Volume of a gas at a particular temperature and on atmospheric pressure is 200 ml. Keeping the temperature constant if pressure is increased to 5 atmosphere, then volume of the gas will be(if P1V1 = P2V2 )

a stationary obj at 4 deg cal and weighing 3.5kg falls from height of 2000 m on snow mountain at 0 degc if temp of obj just hitting snow is 0 deg and obj comes to rest immediately obj melt at (latent heat of ice=3.5*10^5 j/s)

how many g of a liquid of speific heat 0.2 at a temp 40 deg cal must be mixed with 100 gm of liquid of speciic heat 0.5 at temp 20 deg cal so that final temp of mix becomes 32 dg cal

A block of mass m is placed on an another rough block of mass M and both are moving horizontally with same acceleration a due to a force which is applied on the lower block, then work done by lower block on the upper block in moving a distance s will be?

A particle moves on a rough horizontal ground with some initial velocity say v0. If (3/4)th of its kinetic energy is lost due to friction in time t0 then coefficient of friction between the particle and the ground is?

Two balls are dropped from the same point after an interval of 1 second. Their separation 3 second after the release of the second ball. (g = 10 m/s2)

A string of linear mass density 0.8 kg/m is stretched to a tension 500 N. The mean power required to maintain a travelling wave of amplitude of 10 mm and wavelength 0.5 m is?

A particle is projected with a speed u in air at angle θ with the horizontal. The particle explodes at the highest point of its path into two equal fragments, one of the fragments moving up straight with a speed u. The difference in time in which the two particle fall on the ground is (Assume it is at a height H at the time of explosion)

If inside a big circle exactly 24 small circles, each of radius 2, can be drawn in such a way that each small circle touches the big circle and also touches both its adjacent small circles, then radius of the big circle is?

The differential equation of the system of circles touching the x-axis at origin is?