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Three identical bodies of mass M are located at the vertices of an equilateral triangle of side L . They revolve under the effect of mutual gravitational force in a circular orbit, circumscribing the triangle while preserving the equilateral triangle. Their orbital velocity is
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A block of mass 2 kg is at rest on a floor. The coefficient of static friction between block and the floor is 0.54. A horizontal force of 2.8 N is applied to the block. What should be the frictional force between the block and the floor? (take, g =10 m/S2)
A block of mass 0.50 kg is moving with a speed of 2 ms -1 on a smooth surface. It strikes another mass of 1kg and then they move together as a single body. The energy loss during the collision is
A wire of length L and radius r fixed at one end and a force F applied to the other end produces an extension l . The extension produced in another wire of the same material of length 2L and radius 2r by a force 2F, is
Extension produce as that in the other wire.
The surface area of a black body is 5 × 10-4 m2 and its temperature is 727°C. The energy radiated by it per min is (σ = 5.67 × 10-8 Jm-2 – s-1 – K-4)
Eight equal drops of water are falling through air with a steady velocity of 10 cms -1. If the drops combine to form a single drop big in size, then the terminal velocity of this big drop is
A black body is heated from 27°C to 927°C. The ratio of radiation emitted will be
The coefficient of pn qn in the expansion of [(1 + p) (1 + q) (p + q)] n is
Using principle of mathematical induction,
We have (1 + p) (1+q) (p+q) , for n=1
i.e, = (1+p+q+pq) (p+q)
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