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A particle in SHM is described by the displacement equation x(t) = A cos (ωt + θ). If the initial (t = 0) position of the particle is 1 cm and its initial velocity is π cm/s, then what is its amplitude? (The angular frequency of the particle is πs-1.)
Three weights w, 2w and 3w are connected to an identical spring suspended from a rigid horizontal rod. The assembly of the rod and the weights fall freely. The position of the weight from the rod are such that
In an oscillating LC circuit, the maximum charge on the capacitor is Q. The charge on the capacitor, when energy is stored equally between the electric and magnetic fields, is
If energy is stored equally in electric and magnetic fields, then energy in electric field will be half of the maximum value, which occurs when the charge on the capacitor is maximum.
A bar magnet of magnetic moment 2.0 JT-1 lies aligned with the direction of a uniform magnetic field of 0.25 T. What is the work done to turn the magnet so as to align its magnetic moment opposite to the field direction?
Directions: The following question has four choices out of which ONLY ONE is correct.
An open knife edge of mass M is dropped from a height 'h' on a wooden floor. If the blade penetrates 's' into the wood, the average resistance offered by the wood to the blade is
We wish to see inside an atom. Assume the atom to have a diameter of 100 pm. This means that one must be able to resolve a width of say 10 pm. If an electron microscope is used, the energy required should be
The binding energy per nucleon of 1H2 is 1.1 MeV and binding energy per nucleon of 2He4 is 7 MeV. The energy released when two 1H2 combine to form 2He4 is
Energy Absorbed to break apart 2 1H2 atoms = 1.1 × 4 = 4.4 MeV
Energy Released in formation of 1 2He4 atom = 7 × 4 = 28 MeV
Hence, energy released = (28 - 4.4) MeV = 23.6 MeV
An observer is moving towards a stationary source with 1/10 the speed of sound. The ratio of apparent frequency to real frequency is
Frequency as observed by the observer is
What is the dimension of L/RCV,where L, R, C and V have their usual meanings?
Li nucleus has three protons and four neutrons. Mass of lithium nucleus is 7.016005 amu. Mass of proton is 1.007277 amu and mass of neutron is 1.008665 amu. Mass defect for lithium nucleus in amu is
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