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A non uniform rod AB has a mass M and length 2L the mas per unit length of the rod is mx at a point of the rod distant x from A.find the moment of inertia of this rod about an axis perpendicular to the rod (!)through A (2)through the mid point of ABAns) consider a strip of the rod ''dx'' at a length ''x'' from A.mass of the small strip is mx*dx.moment of inertia of the small strip about A IS m*x*dx*x*x.on integrating we get moment of inetia about A as 4*m*L*L*L*L.ABOUT MID POINT OF AB.consider a strip of length ''dx'' at a distance of x from mid point P.mass of it is m*(L-x)*dx.moment of inertia of half of the rod about P is m*(L-x)*dx*x*x.on integration we get moment of inertia of half of the rod.similarly do for the other half.adding them we get the answer.
Derive mathematical equation for the equivalent capacitance (Capacity) when capacitors are connected in series.
It consists of two semis circular plates. One is of quartz and other is glass plate joined together along the diameter. The quartz semi circular plate is a half wave plate whose
Electrical Properties of Dielectric Material A loss of energy which eventually produces a rise in temperature of a dielectric placed in an alternating electric field is calle
A woman wearing high heels briefly supports all her weight on the heels. If her mass is 45 kg and each heel has an area of 1.2 cm 2 , what pressure does she exert on the floor
In Young's double slit experiment, deduce the conditions for (i) constructive, and (ii) destructive interference at a point on the screen. Draw a graph showing variation of the res
A figure separated into squares, each of size 1 mm 2 is being viewed at a distance of 9cm by a magnifying lens of local length 10cm, held close to the eye. (i) Illustrate a ray
A boy throws a ball of mass 20 kg vertically upwards.It raises to a maximum height of 100 m.At what height will the kinetic energy be reduced to 70%?
How will you determine the difference in the wavelengths of 2D lines of sodium light buy Michelson Interferometer
Magnification is the ratio of size of image to the size of object. hence it is a dimensionless constant. It has no units. 1/m is not its unit.(1/m is the unit of power=DIOPTRE)
(a) Potential energy : An electron operates some potential energy due to this found in the field of nucleus potential energy of electron in nth orbit of radius rn is given by
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