DAW-January

DAY 9 – DAW January

Michelson-Morley experiment and its implications; Lorentz transformations-length contraction, time dilation, addition of relativistic velocities, Questions: Q 1. Two β-particles A and B emitted by a radioactive source R travel in opposite directions, each with a velocity of 0.9 c with respect to the source. Find the velocity of B with respect to A (Here c

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DAY 8 – DAW January

Elasticity, Hooke’s law and elastic constants of isotropic solids and their inter-relation; Questions: Q 1. State and explain stokes’ law. A drop of water of radius 0.01 m is falling through a medium whose density is   1.21kg/m31.21 kg/m^31.21kg/m3 and η=1.8×10−5N−s/m\eta= 1.8\times 10^{-5}N-s/mη=1.8×10−5N−s/m  . Find the terminal velocity of the drop of water. [15 marks]

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DAY 5 – DAW January

Rigid body; Degrees of freedom, Euler’s theorem, angular velocity, angular momentum, moments of inertia, theorems of parallel and perpendicular axes, Questions: Q 1. A homogeneous right triangular pyramid wih the base side aaa and height 32a\frac32a23​a is shown below. Obtain the moment of inertia tensor of the pyramid. [15 marks] Q 2. The angular momentum

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DAY 4 – DAW January

Gravitational field and potential due to spherical bodies, Gauss and Poisson equations, gravitational self-energy; Two-body problem; Reduced mass; Questions: Q 1. Two bodies of masses and are placed at a distance d apart. Show that at this position where the gravitational field due to them is zero, the potential is given by V=−Gd(M1+M2+M1M2)V= – \frac

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