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A rigid bar of mass 15 kg is supported symmetrically by three wires each 2.0 m long.Those at each end are of copper and the middle one is of iron. Determine the ratios of their diameters if each is to have the same
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Mar 19, 2022
in
11th Physics
marks2
chapter9
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A 14.5 kg mass, fastened to the end of a steel wire of unstretched length 1.0 m, is whirled in a vertical circle with an angular velocity of 2 rev/s at the bottom of the circle.The cross-sectional area of the wire is 0.065 `cm^2`. Calculate the elongation of the wire when the mass is at the lowest point of its
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Mar 19, 2022
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11th Physics
marks2
chapter9
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Compute the bulk modulus of water from the following data: Initial volume = 100.0 litre, Pressure increase = 100.0 atm (1 atm = `1.013 × 10^5` Pa), Final volume = 100.5 litre. Compare the bulk modulus of water with that of air (at constant temperature). Explain in simple terms why the ratio is so
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Mar 19, 2022
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11th Physics
marks2
chapter9
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What is the density of water at a depth where pressure is 80.0 atm, given that its density at the surface is `1.03 × 10^3` kg
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Mar 19, 2022
in
11th Physics
marks2
chapter9
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Compute the fractional change in volume of a glass slab, when subjected to a hydraulic pressure of 10
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Mar 19, 2022
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11th Physics
marks2
chapter9
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Determine the volume contraction of a solid copper cube, 10 cm on an edge, when subjected to a hydraulic pressure of `7.0 × 10^6`
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Mar 19, 2022
in
11th Physics
marks2
chapter9
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How much should the pressure on a litre of water be changed to compress it by
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Mar 19, 2022
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11th Physics
marks2
chapter9
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Anvils made of single crystals of diamond, with the shape as shown in Fig., are used to investigate behaviour of materials under very high pressures. Flat faces at the narrow end of the anvil have a diameter of 0.50 mm, and the wide ends are subjected to a compressional force of 50,000 N. What is the pressure at the tip of the anvil?
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Mar 19, 2022
in
11th Physics
marks2
chapter9
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A rod of length 1.05 m having negligible mass is supported at its ends by two wires of steel (wire A) and aluminium (wire B) of equal lengths as shown in Fig.. The cross-sectional areas of wires A and B are 1.0 `mm^2` and 2.0 `mm^2` ,respectively. At what point along the rod should a mass m be suspended in order to produce (a) equal stresses and (b) equal strains in both steel and aluminium wires.
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Mar 19, 2022
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11th Physics
marks2
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A mild steel wire of length 1.0 m and cross-sectional area `0.50 × 10^(-2)` c`m^2` is stretched, well within its elastic limit, horizontally between two pillars. A mass of 100 g is suspended from the mid-point of the wire. Calculate the depression at the
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Mar 19, 2022
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11th Physics
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chapter9
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Two strips of metal are riveted together at their ends by four rivets, each of diameter 6.0 mm. What is the maximum tension that can be exerted by the riveted strip if the shearing stress on the rivet is not to exceed `6.9 × 10^7` Pa? Assume that each rivet is to carry one quarter of the
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Mar 19, 2022
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11th Physics
marks2
chapter9
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The Marina trench is located in the Pacific Ocean, and at one place it is nearly eleven km beneath the surface of water. The water pressure at the bottom of the trench is about `1.1 × 10^8` Pa. A steel ball of initial volume 0.32 m3 is dropped into the ocean and falls to the bottom of the trench. What is the change in the volume of the ball when it reaches to the
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Mar 19, 2022
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11th Physics
marks2
chapter9
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Let the speed of the planet at the perihelion P in Fig. (a) be `v_P` and the Sun-planet distance SP be `r_P`. Relate {`r_P, v_P`} to the corresponding quantities at the aphelion {`r_A, v_A`}. Will the planet take equal times to traverse BAC and CPB ?
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Mar 19, 2022
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11th Physics
marks2
chapter8
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Three equal masses of m kg each are fixed at the vertices of an equilateral triangle ABC. (a) What is the force acting on a mass 2m placed at the centroid G of the triangle? (b) What is the force if the mass at the vertex A is doubled ? Take AG = BG = CG = 1m (see Fig. )
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Mar 19, 2022
in
11th Physics
marks2
chapter8
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Find the potential energy of a system of four particles placed at the vertices of a square of side l. Also obtain the potential at the centre of the
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Mar 19, 2022
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11th Physics
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chapter8
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Two uniform solid spheres of equal radii R, but mass M and 4 M have a centre to centre separation 6 R, as shown in Fig. . The two spheres are held fixed. A projectile of mass m is projected from the surface of the sphere of mass M directly towards the centre of the second sphere. Obtain an expression for the minimum speed v of the projectile so that it reaches the surface of the second sphere.
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Mar 19, 2022
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11th Physics
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chapter8
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The planet Mars has two moons, phobos and delmos. (i) phobos has a period 7 hours, 39 minutes and an orbital radius of `9.4 ×10^3` km. Calculate the mass of mars. (ii) Assume that earth and mars move in circular orbits around the sun, with the martian orbit being 1.52 times the orbital radius of the earth. What is the length of the martian year in days
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Mar 19, 2022
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11th Physics
marks2
chapter8
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Weighing the Earth : You are given the following data: g = 9.81 `ms^(–2)`,RE = `6.37×10^6` m, the distance to the moon R = `3.84×10^8` m and the time period of the moon’s revolution is 27.3 days. Obtain the mass of the Earth `M_E` in two different
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Mar 19, 2022
in
11th Physics
marks2
chapter8
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Express the constant k of Eq. (8.38) in days and kilometres. Given k = `10^(–13)` `s^2` `m^(–3)`. The moon is at a distance of `3.84 × 10^5` km from the earth. Obtain its time-period of revolution in
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Mar 19, 2022
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11th Physics
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chapter8
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A 400 kg satellite is in a circular orbit of radius `2R_E` about the Earth. How much energy is required to transfer it to a circular orbit of radius `4R_E` ? What are the changes in the kinetic and potential energies
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Mar 19, 2022
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