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The displacement of a particle starting from rest (at `t = 0`) is given by `s = 6t^2 -t^3`. The time in seconds at which the particle will attain zero velocity again
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Einstein’s mass - energy relation emerging out of his famous theory of relativity relates mass (m ) to energy (E ) as E = mc 2, where c is speed of light in vacuum. At the nuclear level, the magnitudes of energy are very small. The energy at nuclear level is usually measured in MeV, where 1 MeV= 1.6×10–13 J; the masses are measured in unified atomic mass unit (u) where 1u = 1.67 × 10–27 kg.
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Assertion: Newton’s law of universal gravitation states that a particle attracts every other particle in the universe using a force of attraction that is directly proportional to the product of their masses and inversely proportional to the square of distance between them.Reason: Law of gravitation is analogous to magnetic force between the moving
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The stretching of a coil spring is determined by its shear modulus.
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The soldiers marching on a suspended bridge are advised to go out of steps.
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Derive the Boyle’s law using kinetic theory of
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Which of the following examples represent periodic
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A fully loaded Boeing aircraft has a mass of `3.3 × 10^5`kg. Its total wing area is 500 `m^2`. It is in level flight with a speed of 960 km/h. (a) Estimate the pressure difference between the lower and upper surfaces of the wings (b)Estimate the fractional increase in the speed of the air on the upper surface of the wing relative to the lower surface. [The density of air is ρ = 1.2 kg
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Two vessels have the same base area but different shapes. The first vessel takes twice the volume of water that the second vessel requires to fill upto a particular common height. Is the force exerted by the water on the base of the vessel the same in the two cases ? If so, why do the vessels filled with water to that same height give different readings on a weighing scale
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Projectile motion is a form of motion in which an object or particle is thrown with some initial velocity near the earth’s surface and it moves along a curved path under the action of gravity alone. The path followed by a projectile is called its trajectory, which is shown below. When a projectile is projected obliquely, then its trajectory is as shown in the figure below Here velocity `u` is resolved into two components, we get (a) `u cos theta` along `OX` and (b) `u sin theta` along `OY`.The acceleration of the object in horizontal direction
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Which of the following functions of time represent (a) periodic and (b) non-periodic motion? Give the period for each case of periodic motion [ω is any positive constant].
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Derive differential eq of SHM.
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Science, like any knowledge, can be put to good or bad use, depending on the user. Given below are some of the applications of science. Formulate your views on whether the particular application is good, bad or something that cannot be so clearly categorised : (a) Mass vaccination against
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Normally, the reported result of measurement is a number that includes all digits in the number that are known reliably plus first digit that is uncertain. The digits that are known reliably plus the first uncertain digit are known as significant digits or significant figures. e.g. When a measured distance is reported to be 374.5 m, it has four significant figures 3, 7, 4 and 5. The figures 3, 7, 4 are certain and reliable, while the digit 5 is uncertain. Clearly, the digits beyond the significant digits reported in any result are superfluous.Consider the following rules of significant figures.
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The displacement (in metre) of a particle moving along X-axis is given by `x= 18 t+ 5 t^2`. The average acceleration during the interval `t_1= 2s and t_2 = 4 s`
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The time taken by a `150 m` long train to cross a bridge of length `850 m` is `80 s`. It is moving with a uniform velocity of
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Four molecules of gas have speeds 2, 4, 6, 8, km/s. respectively. Calculate 1) Average speed 2) Root Mean square
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Determine the volume of 1 mole of any gas at s. T. P., assuming it behaves like an ideal
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Define S.I. unit of solid
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What are the two angles of projection of a projectile projected with velocity 30m/s, so that the horizontal range is 45m. Take, `g =
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