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If the shear modulus of a wire is 5.9*1011 dyne/cm2, then the potential energy of a wire of 4000 cm in diameter and 5 cm long twisted through a angle of 10 minutes ,in joule,is: (a)1.253*10-12 (b)2.0*10-12 (c)1.0*10-12 (d)0.8 ...
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Large number of capacitors of rating 10 microfarad/200 V are available. The minimum number of capacitors required to design a 10 microfarad/700V capacitor is: (a)16 (b)4 (c)8 (d)7 ...
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A sphere of radius r is charged to a potential V.What will be the outward pull per unit area of its surface? ...
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The electric strength of air is 2*107 NC-1. The maximum that a metallic sphere of diameter 6 mm can hold is: (a)3 nC (b)20 nC (c)1.5 nC (d)2 nC ...
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From a circular disc of radius R and mass 9M, a small disc of radius R/3 is removed. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O is: (a)4MR2 (b)40MR2/ ...
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Four 2 kg masses are connected by 0.25 m spokes to an axle.A force of 24 N acts on a lever 0.5 m long to produce angular acceleration x. The magnitude of x in SI units is: (a)24 (b)12 (c)6 (d)3 ...
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sin ax+cos ax and |sin x|+|cos x| are periodic functions of same fundamental period then a is: (a)0 (b)1 (c)2 (d)4 ...
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If f(x)=[x2]-[x]2 and x lies between [0,2] then the range of f(x) is: (a){-1,0} (b){-1,0,1} (c){0} (d){0,1,2} ...
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In a third order determinant, each element of the first column consists of two terms, each element of the second column consists of sum of three terms and each element of the third column consists of four terms. Then it can b ...
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If P(x) is a polynomial such that P(x2+1)={P(x)}2+1 and P(0)=0,then ∂P/∂x is equal to: (a)-1 (b)0 (c)1 (d)none of these ...
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∂n/∂xn(log x) is: (a)(n-1)!/xn (a)(n)!/xn (a)(n-2)!/xn (a)(-1)(n-1)(n-1)!/xn ...
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if two circles each of radius 5 unit touch each other at (1,2) and the equation of their common tangent is 4x+3y=10,then the equation of the circle, a portion of which lies in all the quadrants is: (a)x2+y2-10x-10y+25=0 (b)x2 ...
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The condition that the chord x cos A+y sin A-p=0 of x2+y2-a2=0 may subtend a right angle at the center of the circle is: (a)a2=2p2 (b)p2=2a2 (c)a=2p (d)p=2a ...
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How do you obtain ethyl amine from ethyl alcohol? ...
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A weak base BOH of concentration 0.02 mole/litre has a pH value of 10.45.If 100 ml of the base is mixed with 10 ml of 0.1 M HCl, what will be the pH of the mixture? ...
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Chlorine molecules are 1.0% dissociated at 975 K at a pressure of 1.0 atm(1.0% of the pressure is due to Cl atoms). Cl2→2Cl Calculate Kp and Kc. ...
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The water vapour pressure at 293 K is 2338 Pa and the vapour pressure of an aqueous solution is 2295.8 Pa. Determine its osmotic pressure at 313 Kif the solution density at this temperature is 1.01 g/cc. The molecular weight ...
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How much ice will separate if a solution containing 25 g ethylene glycol C[2]H[4]OH[2] in 100 g water is cooled by 10 K?(molal depression constant=1.86 for water). ...
