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*Image* Ques1) In the figure shown above, a thin glass rod forms a semicircle of radius r = 5m. Charge is ubiformly distributed along the rod with +q in the upper half and -q in the lower half. What are the amg and direction ...
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Ques1) *Image* The figure shows a meter brdge circuit, with AB = 100 cm, X =12 cm and R =18 ohms, and the jockey is in the posn of balance.If R is now 8 ohm, through what distance will J have to be moved to obtain balance. (a ...
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Ques1) A particle is moving with a const speed in a circular path. Show thatn the ratio of avg velocity to it's instantaneous velocity when the particle describes an angle theta = pie/2 is 2 2 / pie. ...
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A highly expexted good question for JEE which is made by me with a GREAT MIND. Find the tension in the thread at the last block placed at infinity. Each block is of mass m and the masses of the thread and pulleys are negligib ...
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Osama Bin Laden wishes all the members of this forum TIIT a Merry Christmas and a happy new year 2010. Just approx 3 months left for IIT JEE 2010. ...
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1) The eqn (cos p -1) x2 + (cosp)x + sinp =0, in the variable x ,has real roots. Then p can have any value in the interval (a) (0 , 2 pie) (b) (- pie, 0 ) (c) (- pie/2 , pie/2 ) (d) ( 0 ,pie) ...
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The wire of the potentiometer has resistance 4 ohm and length 1m. It is connected to a cell of emf 2V and internal resistance 1 ohm. If the cell of emf 1.2 V is balanced by it, show that the balancing length will be 75 cm. ...
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1) If k sin2x + (1/k) cosec 2 x = 2, for all x belonging to (0, pie/2) then cos2x + 5 sinx cosx + 6 sin 2x is equals to (a) (k2+5k+6) / k2 (b) (k2-5k+6) / k2 (c)6 (d) none of these choose the correct alternative 2) If lim x↠...
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If the length of the filament of the heater is reduced by 10 %, the power of the heater will (a)inc by abt 9 % (b) inc by abt 11 % (c) inc abt 19 % (d) dec abt by 10 % ...
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A plank of mass 2 kg and length 1m is placed on a horizontal floor. A small blockk of mass 1 kg is placed on the top of the plank, at it's right extreme end. The coeff of friction b/w the plank and the floor is 0.5 and that b ...
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1) Show that the soln set of eqns (x+1) 2 + [x-1] 2 = (x-1)2 + [x+1] 2 , where [x] and (x) are the gratest integer and nearest integer to x , is x belonging to I. 2) If P(x) = ax 2+bx+c and Q(x) = -ax 2+dx+c, where ac≠0, th ...
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Mr X of mass 80 kg enters a lift and selects the floor he wants. The lift now acc upward at 2 m/s2 for 2 sec and then moves with const velocity. As a lift approaches his floor, it decelerates at the same rateas it is previous ...
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*Image* A particle B of mass 0.6 kg slides down the smooth face PR of wedge A of mass 1.7 kg, which can move freely on a smooth horizontal surface.Show that:- (a) the acc of A is 3g/20 (b) the vertical component of the acc of ...
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1) Show that the least natural number a for which x + ax -2 > 2 for all x belonging to (0,∞) is 2. 2) Let f(x) = sinx+ax+b, then show that f(x)=0 has (a)only one real root which is positive if a>1, b<0 (b)only one ...
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1) SHow that the roots of the eqn x4+4x3-8x2+k=0 are real for k belonging to [0,3]. 2) Show that the eqn log(x2+2ax) = log(8x-6a-3) have only one solution for a=1 or a belonging to [-1/2 , -3/22]. ...
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*Image* The velocity time graph of the figure shows the motion of a block of mass 1 kg which is given an initial push at t=0 along a horizontal table Show that (a) The coeff of friction b/w the block and the table is 0.1 (b) ...
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1) A tap supplies water at 22°C . A man takes 1 litre per minute at 37°C from the geyser. Show that the power of the geyser is 1050W. 2) A servo stabilizer restricts voltage output to 220V±1 %. If an electric bulb 100W / 2 ...
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Ques1) Show that one of the solution of the equation -x4+x2-P=0 where x belongs to (0,1) and P belongs to (0,1/4) is sin (1/2 sin - 1 2 √P). Ques2) Tangents are drawn to y = ax2+bx+c at (5,4) is parallel to x- axis. If a be ...
