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A thread is wrapped over a massless pulley. The pulley and rope have a coefficient of friction k between them. If the thread/rope is wrapped by an angle of "theta".. then what is the ratio of the tensions on both side ...

Show that If a rod is held at an angle θ to the horizontal and released, its lower end will not slip if friction b/w rod and ground is greater than (3sinθcosθ)/(1+3sin2θ). (...DC Pandey) ...

Arrange according to dipole moment... CHCl3, CH2Cl2, CH3Cl ...

a whel consists of a circular disc of radius 'a' with four circular holes, each of radius a/4. the centres of the holes form a square and each centre is at a distance a/2 from the centre of the disc. if m is the mass ...

A pitot tube is fixed in a main of diameter 15cm and the difference in pressure indicated by gauge is 4cm of water column. find the volume of water passing through the main in one minute !!!!!!! ...

There is a linear current density K= 2a A/m in z direction , on the X=0 plane, what is the field due to this current in two regions X>0 and X< 0 ? ...

*Image* which reaction is faster and why ? ...

derive the formulae for 12+22+32+......+n2 without using mathematical induction ...

A and B plays a game of tennis. The situation of the game is as follows: if one scores two consecutive points after a deuce he wins; if loss of a point is followed by win of a point, it is deuce. The chance of a server to win ...

3.24 A boy standing on a stationary lift (open from above) throws a ball upwards with the maximum initial speed he can, equal to 49 m s–1. How much time does the ball take to return to his hands? If the lift starts movi ...

3.28 The velocity-time graph of a particle in one-dimensional motion is shown in Fig. 3.29 : *Image* Which of the following formulae are correct for describing the motion of the particle over the time-interval t1to t2: (a) x( ...

find the period of the function f(x)= Cos( lsin xl -l cos xl ) ...

A small block of mass m is kept on a rough inclined surface of inclination θ fixed in an elevator. The elevator goes up with the uniform velocity v and the block does not slide on the wedge. The work done by the force of fri ...

a ball is dropped from a height. if it takes 0.200s to cross the last 6.00m before hitting the ground , find the height from which it was dropped ..(take g=10) ...

A chain of length l and mass m lies on the surface of smooth sphere of radius r > l with one end tied to the top of the sphere.(a) Find the gravitational potential energy of the chain with reference level at the centre of ...

Two masses m2 and m3 are connected by a spring of spring constant k and are placed on a frictionless horizontal surface. Initially the spring is stretched through a distance x when the system is released from rest. Find the d ...

Consider two observers moving with respect to each other at a speed v along a straight line. They observe block of mass m moving at a distance l on a rough surface. which of the following quantities will be same as observed b ...

calcualete degree of dissociation of phosgen if 2g of it is heated at 500C to occupy 1.985L at 1 atm. ...

50mL hydrocarbon having 85.7% Carbon at STP on combustio ngives0.37 g CO2 ,0.142g of H2O and unknown qty. of methane.Determine molecular formula of hydrocarbon ...

show that orthocentre of triangle formed by lines ax2+2hxy+by2=0 and lx+my+n=1 is given by x/l =y/m =(a+b)/(am2-2lmh+bl2) ...

Show that the area of triangle formed by tangents from the point (4,3) to teh circle x2+y2=9 and teh line segment joining teh points of contact is 192/25 sq units ...

*Image* find time period of mass 'm'... in 3 minutes... ...

irodov q no 3.133 page no 123 ...

Prove dis a/b+c + b/c+a + c/a+b ≥3/2......fr a,b,c>0 ...

If A(z1),B(z2),C(z3) are the vertices of an equilateral triangle in the argand plane,then *Image* is _____ ...

The smaller area enclosed by y=f(x),where f(x) is a polynomial of least degree satisfying *Image* *Image* and the circle x2+y2=2 above the x-axis is *Image* ...

How many times do 2x and x2+1 intersect and what r the points of intersection? I will tell reason for this question later :) ...

minimum value of (a+b+c+d)(1/a+1/b+1/c+1/d) is ...

prove that the tangents to circle x2+y2=5 at the pt (1,-2) also touches x2 +y2 -8x +6y +20=0 and find pt of contact. ...

A SMOOTH SPHERE of radius R is made to translate in a straight line with the constant accl. a . A particle kept on the top of sphere is released from there at o velocity with respect to the sphere . Find the speed of the part ...