An external pressure P is applied on a cube at 0°C so that it is equally compressed from all sides. K is the bulk modulus of the material of the cube and

When a current of 5 mA is passed through a galvanometer having a coil of resistance 15Ω, it shows full scale deflection. The value of the resistance to be put in series with the galvanometer to convert it into a voltmeter of range 0 – 10V is?

Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.

A man grows into a giant such that his linear dimensions increase by a factor of 9. Assuming that his density remains same, the stress in the leg will change by a factor of?

For three events A, B and C, P(Exactly one of A or B occurs) = P(Exactly one of B or C occurs) = P (Exactly one of C or A occurs) = 1/ 4 and P(All the three events occur simultaneously) = 1 /16 . Then the probability that at least one of the events occurs, is?

3-Methyl-pent-2-ene on reaction with HBr in presence of peroxide forms an addition product. The number of possible stereoisomers for the product is ?

The products obtained when chlorine gas reacts with cold and dilute aqueous NaOH are:

The formation of which of the following polymers involves hydrolysis reaction?

The most abundant elements by mass in the body of a healthy human adult are: Oxygen (61.4%); Carbon (22.9%), Hydrogen (10.0%); and Nitrogen (2.6%). The weight which a 75 kg person would gain if all H atoms are replaced by 2H atoms is?

A capacitance of 2 µF is required in an electrical circuit across a potential difference of 1.0 kV. A large number of 1 µF capacitors are available which can withstand a potential difference of not more than 300 V. The minimum number of capacitors required to achieve this is?

A time dependent force F = 6t acts on a particle of mass 1 kg. If the particle starts from rest, the work done by the force during the first 1 sec. will be?

In a Young’s double slit experiment, slits are separated by 0.5 mm, and the screen is placed 150 cm away. A beam of light consisting of two wavelengths, 650 nm and 520 nm, is used to obtain interference fringes on the screen. The least distance from the common central maximum to the point where the bright fringes due to both the wavelengths coincide is

A copper ball of mass 100 gm is at a temperature T. It is dropped in a copper calorimeter of mass 100 gm, filled with 170 gm of water at room temperature. Subsequently, the temperature of the system is found to be 75 C. T is given by: (Given : room temperature = 30 C, specific heat of copper = 0.1 cal/gm C)

If two different numbers are taken from the set {0, 1, 2, 3, …, 10}; then the probability that their sum as well as absolute difference are both multiple of 4, is:

For three events A, B and C, P(Exactly one of A or B occurs) = P(Exactly one of B or C occurs) = P (Exactly one of C or A occurs) = 1 /4 and P(All the three events occur simultaneously) = 1/ 16 . Then the probability that at least one of the events occurs, is:

Two reactions R1 and R2 have identical pre exponential factors. Activation energy of R1 exceeds that of R2 by 10kj /mol. if k1 and k2 are rate constants R1 and R2 respectively at 300 K, then In (K2/K1) is equal to? Given (R=8.314 J/mol K)

A metal crystallise is a face entered cubic structure. if the edge length of its unit cell is ‘a’, the closest approach between two atom in metallic crystal will be?

The fallowing observations were taken for determine surface tension T of water by capillary method: diameter of capillary, D = 1.25 * 10^-2 m rise of water, h = 1.45* 10^-2m Using g = 9.80 m/s^2 and the simplified relation T = rhg/2*10^3 N/m, the possible error in surface tension is closest to?

A resistance of 10^3 , a capacitance of 10^-6 F and an inductance of 2 Henry are connected in series with a source of 200 sin (1000 t) volt. Which of the following are correct?

A car is standing 200 m behind a truck which is also at rest.The two start moving at the same instant but the different forward accelerations.The truck has acceleration 2 m/s^2 and the car has acceleration 4m/s^2. The car will catch up with bus after a time?

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Calculate y=|x| if the The radius of a circle, having minimum area, which touches the curve y = 4 – x*x?

If 2x - y + 1 = 0 is a tangent to the hyperbola (x/a)*(x/a)-(y/4)*(y/4)=1,then what is the sides of a right angled triangle?

Let a vertical tower AB have its end A on the level ground. Let C be the mid-point of AB and P be a point on the ground such that AP = 2AB. If angle BPC = β , then calculate value of tan β.

What will be the probability that at least one of the event occurs for three events A, B and C, P(Exactly one of A or B occurs) = P(Exactly one of B or C occurs) = P(Exactly one of C or A occurs) = 1/4 and P(All the three events occur simultaneously) = 1/16?

Let S = {1, 2, 3, ..... , 9}. For k = 1, 2, ....., 5, let NK be the number of subsets of S, each containing five elements out of which exactly k are odd. Then N1 + N2 + N3 + N4 + N5

What will be the beat frequency of the resulting signal in Hz if A stationary source emits sound of frequency f = 492 Hz. The sound is reflected by a large car approaching the source with a speed of 2 m/s. The reflected signal is received by the soruce and superposed with the original (Given that the speed of sound in air is 330 m/s and the car reflects the sound at the frequency it has received)?

Calculate the length of the other edges if Cuboid with edge a=14 cm and body diagonal u=42 cm has volume V=10976 cm3?

How many m^2 of cardboard are needed to make the cuboid with dimensions 40 cm 60 cm and 20 cm?

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What is the equation of the plane passing through the point (1, 1, 1) and perpendicular to the planes 2x + y -2z = 5 and 3x-6y -2z = 7?

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What will be the value of T if A copper ball of mass 100 gm is at a temperature T. It is dropped in a copper calorimeter of mass 100 gm,filled with 170 gm of water at room temperature. Subsequently, the temperature of the system is found to be 750C. T is given by: (Given : room temperature = 300C, specific heat of copper = 0.1 cal/gm0C)?

What will be the variance of the number of green balls drawn if A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one-by-one, with replacement?

A compound ‘X’ reacts with a compound ‘Y’, to produce a colourless and odourless gas. The gas turns lime water milky. When ‘X’ reacts with methanol in the presences of concentrated H2SO4, a sweet smelling substance is produced. The molecular formula of the compound ‘X’

What is cuboid? What will be the real time examples of the cuboid.

The following observations were taken for determining surface tension T of water by capillary method: diameter of capillary, D = 1.25 *10^-2m rise of water, h = 1.45 *10^2m Using g = 9.80 m/s2 and the simplified relation T = (rhg*10^)/2 N/ m, the possible error in surface tension is closest to?

What will be the variance of the number of green balls drawn is if A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one by one, with replacement?

What will be maximum area (in sq. m) of the flower-bed if Twenty meters of wire is available for fencing off a flower-bed in the form of a circular sector?

A rocket is launched normal to the surface of earth, away from the Sun, along the line joining the Sun and the Earth. The Sun is 3 *10^5 times heavier than the Earth and is at a distance 2.5 *10^4 times larger than the radius of the Earth. The escape velocity from Earth’s gravitational field is ve = 11.2 km /s The minimum initial (vs) required for the rocket to be able to leave the Sun-earth system is closest to(Ignore the rotation and revolution of the Earth and the presence of any other planet).

An electron in a hydrogen atom undergoes a transition from an orbit with quantum numebr ni to another with quantum number nf. Vi and Vf are respectively the initial and final potential energies of the electon. If vi/ vf =6.25, Then what is smallest possible nf is

The sides of a right angled triangle are in arithmetic progression. If the triangle has area 24, then what is the length of its smallest side ?

If a chord, which is not a tangent, of the parabola y2 = 16x has the equation 2x + y = p, and midpoint (h, k), then what is(are) possible value(s) of p, h and k ?

A crystalline solid of a pure substance has a face-centred cubic structure with a cell edge of 400 pm. If the density of the substance in the crystal is 8 g cm-3, then the number of atoms present in 256 g of the crystal is N × 1024. The value of N?

Why colour of the X2 molecules of group 17 elements changes gradually from yellow to violet down the group?

How many unpaired electrons are present in Co3+ ion?

How many groups are occupied by p-block elements in long form of periodic table?

What is the power of accommodation of the eye?

A myopic person uses specs of power –0.5 D. What is the distance (in meter) of the far point of his eye?