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A solid cylinder of mass 20 kg rotates about its axis with angular speed 100 rad `s^(-1)`. The radius of the cylinder is 0.25 m. What is the kinetic energy associated with the rotation of the cylinder? What is the magnitude of angular momentum of the cylinder about its
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Read each statement below carefully, and state, with reasons, if it is true or false;(a) During rolling, the force of friction acts in the same direction as the direction of motion of the CM of the body. (b) The instantaneous speed of the point of contact during rolling is zero. (c) The instantaneous acceleration of the point of contact during rolling is zero. (d) For perfect rolling motion, work done against friction is zero. (e) A wheel moving down a perfectly frictionless inclined plane will undergo slipping (not rolling)
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The displacement of a particle is represented by the equation `y = 3 cos (pi/ 4 - ωt)` . The motion of the particle
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The displacement of a particle varies with time according to the relation `y = a sin ωt + b cos
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When a mass m is connected individually to two springs S1 and S2 , the oscillation frequencies are ν 1 and ν 2 . If the same mass is attached to the two springs as shown in Fig. , the oscillation frequency would
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A person normally weighing 50 kg stands on a massless platform which oscillates up and down harmonically at a frequency of 2.0 s–1 and an amplitude 5.0 cm. A weighing machine on the platform gives the persons weight against time. If answer to part (i) is yes, what will
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It is often said that the world is witnessing now a second industrial revolution, which will transform the society as radically as did the first. List some key contemporary areas of science and technology, which are responsible for this
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Fill in the blanks The surface area of a solid cylinder of radius 2.0 cm and height 10.0 cm is equal to
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Fill in the blanks by suitable conversion of units 1 m = .....
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Explain this statement clearly : “To call a dimensional quantity ‘large’ or ‘small’ is meaningless without specifying a standard for comparison”. In view of this, reframe the following statements wherever necessary : (a) the speed of sound is much smaller than the speed of
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A new unit of length is chosen such that the speed of light in vacuum is unity. What is the distance between the Sun and the Earth in terms of the new unit if light takes 8 min and 20 s to cover this distance
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Just as precise measurements are necessary in science, it is equally important to be able to make rough estimates of quantities using rudimentary ideas and common observations. Think of ways by which you can estimate the following (where an estimate is difficult to obtain, try to get an upper bound on the quantity) : (a) the total mass of rain-bearing clouds over India during the Monsoon (b) the mass of an elephant (c) the wind speed during a storm (d) the number of strands of hair on your head (e) the number of air molecules in your
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The Sun is a hot plasma (ionized matter) with its inner core at a temperature exceeding `10^7` K, and its outer surface at a temperature of about 6000 K. At these high temperatures, no substance remains in a solid or liquid phase. In what range do you expect the mass density of the Sun to be, in the range of densities of solids and liquids or gases ? Check if your guess is correct from the following data : mass of the Sun = `2.0 ×10^(30)` kg, radius of the Sun = `7.0 × 10^8`
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The mass and volume of a body are 4.237 g and 2.5 `cm^3` , respectively. The density of the material of the body in correct significant figures
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During a total solar eclipse the moon almost entirely covers the sphere of the sun. Write the relation between the distances and sizes of the sun and
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Calculate the length of the arc of a circle of radius 31.0 cm which subtends an angle of `π/6` at the
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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: The concept of energy is central to Physics and its expression can be written for every physical system. Reason: Law of conservation of energy is not valid for all forces and for any kind of transform ation between different forms of
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Assertion: Physics generates new technology. Reason: Technology give rise to new
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A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is `90s, 91s, 92s and 95s`. If the minimum division in the measuring clock is Is, then the reported mean time should
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