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For the above problem, the direction of the gravitational intensity at an arbitrary point P is indicated by the arrow (i) d, (ii) e, (iii) f, (iv)

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A star 2.5 times the mass of the sun and collapsed to a size of 12 km rotates with a speed of 1.2 rev. per second. (Extremely compact stars of this kind are known as neutron stars. Certain stellar objects called pulsars belong to this category). Will an object placed on its equator remain stuck to its surface due to gravity ? (mass of the sun = `2×10^(30)`

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Find the centre of mass of a triangular

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Give the location of the centre of mass of a (i) sphere, (ii) cylinder, (iii) ring, and (iv) cube, each of uniform mass density. Does the centre of mass of a body necessarily lie inside the body

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A child sits stationary at one end of a long trolley moving uniformly with a speed V on a smooth horizontal floor. If the child gets up and runs about on the trolley in any manner, what is the speed of the CM of the (trolley + child) system

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A rope of negligible mass is wound round a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N ? What is the linear acceleration of the rope ? Assume that there is no

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What are the two basic characteristics of a simple harmonic

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What is the ratio between the distance travelled by the oscillator in one time period and

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Draw a graph to show the variation of P.E., K.E. and total energy of a simple harmonic oscillator with

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A body of mass m is situated in a potential field `U(x) = U_0 (1-cos αx) when U_0 and α` are constants. Find the time period of small

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Find the dimensions of latent heat and specific

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The mean length of an object is 5 cm. Which of the following measurements is most

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The radius of atom is of the order of 1 Å and radius of nucleus is of the order of fermi. How many magnitudes higher is the volume of atom as compared to the volume of

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Which of the following time measuring devices is most precise? A stop

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The distance of a galaxy is of the order of 1025 m. Calculate the order of magnitude of time taken by light to reach us from the

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The vernier scale of a travelling microscope has 50 divisions which coincide with 49 main scale divisions. If each main scale division is 0.5 mm, calculate the minimum inaccuracy in the measurement of

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If the unit of force is 100 N, unit of length is 10 m and unit of time is 100 s, what is the unit of mass in this system of

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Give an example of a physical quantity which has neither unit nor

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Physics is the branch of science which deals with the study

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Observable universe has range of mass

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