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  1. A loop produced on a vibrating string = 入/2 where 入 is the wavelength of the wave hence, for n loops produced on a string of length L, we have L = n(入/2) i.e. 入 = 2L/n Frequency of stationary wave f = v/入 = nv/2L where v...

  2. ...be a diagram showing where points A and B are. Without such diagram, I presume that point A is at the far end of the first barge and point B is at the other far end of the...

  3. Centripetal force required when the object is whirled with angular speed of 3 s^-1 = m.(1).(3^2) where m is the mass of the object Hence, 2 = 9m m = 2/9 kg = 0.2222 kg When the object is whirled faster at a new angular speed w 2.2 = (0.2222).(1...

  4. Mass of cylinder = 37.0/9.8 = 3.78 kg Moment of inertia of the hollow cylinder = MR^2 = 3.78*0.16^2 = 0.0967 kg m^2 Since the rope does not slip, linear speed = angular speed * radius 5.60 = w*0.16 -> w = 35 rad/s Work done = KE gained by cylinder...

  5. ... a diagram associated with this question. Without the diagram, I assume coil Q is ...opposite polarity will be produced at the lower end of coil P to that at the upper end of coil Q...

  6. ...near to the rod, whereas -ve charges are induced on the far end of sphere Y (because the two spheres, X and Y, are...

  7. ...transfer by conduction. Non-metals have very few free electrons. Without the help of free electrons, molecular vibration on one end of a substance could not be transmitted to the other end rapidly. Such...

  8. The equation describing the number of atoms in the intermediate daughter La-140 us, d(N2)/dt = -(k2)(N2) + (k1).(N1) where N1 and N2 are the number of Ba-140 and La-140 atoms at time t...

  9. ...to produce a charge on the plastic ruler. If you put one end of the plastic ruler onto the ground, you cannot...when I am standing on the ground without shoes and holding a charged plastic ruler...

  10. Taking moment about Y, we have: Anti-clockwise moment = 450 x 2.5 = 1125 N m So at/before critical point, the clockwise moment about Y due to the weights of the worker + goods should be smaller than or equal to 1125 N m, i.e. (675 + 6n) x 1.5...