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Physics-

General

Easy

Question

The figure shows a uniform rod lying along the x-axis. The locus of all the points lying on the xy-plane, about which the moment of inertia of the rod is same as that about O is

an ellipse
a circle
a parabola
a straight line

The correct answer is: a circle

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A square plate of mass M and edge L is shown in figure. The moment of inertia of the plate about the axis in the plane of plate passing through one of its vertex making an angle 15° from horizontal is.

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Let I₁ , I₂ and I₃ be the moment of inertia of a uniform square plate about axes AOC, xDx' and yBy' respectively as shown in the figure. The moments of inertia of the plate I₁ : I₂ : I₃ are in the ratio.

Let I₁ , I₂ and I₃ be the moment of inertia of a uniform square plate about axes AOC, xDx' and yBy' respectively as shown in the figure. The moments of inertia of the plate I₁ : I₂ : I₃ are in the ratio.

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$text If end text fraction numerator sin begin display style text end text end style left parenthesis H plus A right parenthesis over denominator sin begin display style text end text end style left parenthesis B plus B right parenthesis end fraction equals square root of fraction numerator sin begin display style space end style 2 A over denominator sin begin display style space end style 2 B end fraction end root text then end text tan to the power of straight prime text end text theta equals$

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A capacitor having capacitance ‘C’ is charged by a battery having e.m.f. 2V (Battery is disconnected after charging). Now this charged capacitor is connected to another battery having e.m.f. V. The positive plate of capacitor is connected with –ve terminal of battery & vice-versa. The amount of heat produced after connecting it with battery.

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A particle of mass m moving horizontally with v₀ strikes a smooth wedge of mass M, as shown in figure. After collision, the ball starts moving up the inclined face of the wedge and rises to a height h.

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