An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range?

A body of mass m = 3.513 kg is moving along the x-axis with a speed of 5.00 ms−1. The magnitude of its momentum is recorded as ?

While measuring the speed of sound by performing a resonance column experiment, a student gets

the first resonance condition at a column length of 18 cm during winter. Repeating the same

experiment during summer, she measures the column length to be x cm for the second resonance.

Then

(1) 18 > x

(2) x >54

(3) 54 > x > 36

(4) 36 > x > 18

Amount of oxalic acid present in a solution can be determined by its titration with KMnO4 solution in the presence of H2SO4. The titration gives unsatisfactory result when carried out in the presence of HCl, because HCl

(1) gets oxidised by oxalic acid to chlorine

(2) furnishes H+ ions in addition to those from oxalic acid

(3) reduces permanganate to Mn2+

(4) oxidises oxalic acid to carbon dioxide and water

At 80 C, the vapour pressure of pure liquid ‘A’ is 520 mm Hg and that of pure liquid ‘B’ is 1000 mm

Hg. If a mixture solution of ‘A’ and ‘B’ boils at 80 C and 1 atm pressure, the amount of ‘A’ in the mixture is (1 atm = 760 mm Hg)

Sodium ethoxide has reacted with ethanoyl chloride. The compound that is produced in the above reaction is?

A man saves Rs. 200 in each of the first three months of his service. In each of the subsequent months his saving increases by Rs. 40 more than the saving of immediately previous month. His total saving from

the start of service will be Rs. 11040 after?

100g of water is heated from 30C to 50C. Ignoring the slight expansion of the water, the change in its internal energy is (specific heat of water is 4148 J/kg/K):

The half life of a radioactive substance is 20 minutes. The approximate time interval (t 2- t1 ) between

the time t2 when 2/3 of it has decayed and time t1 and 1/3 of it had decayed is :

Energy required for the electron excitation in Li++ from the first to the third Bohr orbit is ?

A car is fitted with a convex side-view mirror of focal length 20cm. A second car 2.8 m behind the first car is overtaking the first car at relative speed of 15 m/s. The speed of the image of the second car as seen in the mirror of the first one is?

The radii r1, r2, r3 of escribed circles of a triangle ABC are in harmonic progression. If its area is 24 sq. cm and its perimeter is 24 cm, find the lengths of its sides?

A six faced fair dice is thrown until 1 comes, then the probability that 1 comes in even number of trials is?

Two cards are drawn at random from a pack of playing cards. Find the probability that one card is a heart and the other is an ace?

For a student to qualify, he must pass at least two out of three exams. The probability that he will pass the 1st exam is p. If he fails in one of the exams, then the probability of his passing in the next exam is p/2, otherwise it remains the same. Find the probability that he will qualify?

A bag contains 5 white, 7 black and 8 red balls. A ball is drawn at random. Find the probability of getting: (i) red ball (ii) non-white ball

Find the probability of the event A if (i) odds in favour of event A are 5 : 7 (ii) odds against A are 3 : 4?

A block of mass 0.50 kg is moving with a speed of 2.00 m/s on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is?

A wave travelling along the x-axis is described by the equation y(x, t) = 0.005 cos (αx −βt). If the wavelength and the time period of the wave are 0.08 m and 2.0 s, respectively, then α and β in appropriate units are

Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross sectional area A = 10 cm2 and length = 20 cm. If one of the solenoids has 300 turns and the other 400 turns, their

mutual inductance is (μ0 = 4π × 10-7 Tm A-1)

A horizontal overhead power line is at a height of 4m from the ground and carries a current of 100 A from east to west. The magnetic field directly below it on the ground is (μ0 = 4π × 10-7 T m A-1)

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Consider a uniform square plate of side ‘a’ and mass ‘m’. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is?

A planet in a distant solar system is 10 times more massive than the earth and its radius is 10 times smaller. Given that the escape velocity from the earth is 11 kms−1, the escape velocity from the surface of the planet would be

The pKa of a weak acid, HA, is 4.80. The pKb of a weak base, BOH, is 4.78. The pH of an aqueous solution of the corresponding salt, BA, will be

In a compound atoms of element Y from ccp lattice and those of element X occupy 2/3rd of tetrahedral voids. The formula of the compound will be

The vapour pressure of water at 20oC is 17.5 mm Hg. If 18 g of glucose (C6H12O6) is added to 178.2 g of water at 20oC, the vapour pressure of the resulting solution will be