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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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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
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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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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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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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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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Which is the like term as
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Jan 18, 2022
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Which of the following is an
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The irreducible factorisation of 3a3 + 6a
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a ( b + c) = ab + ac
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The representation of an expression as the product of its factors is called
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(x + a) (x + b) = x2 + (a + b)x +
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An identity is true for all values of its
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Common factor of `x^2y` and `– xy^2` is
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`(3x + 3x^2) -: 3x =
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Simplify (i) `– pqr (p^2 + q^2 + r^2)` (ii) (px + qy) (ax –
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Find the expansion of the following using suitable identity.(i) (3x + 7y) (3x – 7y) (ii)
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Factorise the following. (i) `21x^2y^3 + 27x^3y^2` (ii) `a^3 – 4a^2 + 12 –
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Factorise the following. (i)4x^2 – 20x + 25 (ii) `(y^2/9-9)` (iii) `x^4 –
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Jan 18, 2022
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Evaluate using suitable identities.(i) `(48)^2` (ii) `181^2 – 19^2` (iii) `497 xx 505` (iv) `2.07 xx
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