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Physics-

General

Easy

Question

A $T$ joint is formed by two identical rods $A$ and $B$ each of mass $m$ and length $L$ in the $X Y$ plane as shown. Its moment of inertia about axis coinciding with $A$ is

$\frac{{2 m L}^{2}}{3}$
$\frac{{m L}^{2}}{12}$
$\frac{{m L}^{2}}{6}$
None of these

The correct answer is: $fraction numerator m L to the power of 2 end exponent over denominator 6 end fraction$

$I equals I subscript x end subscript plus I subscript y end subscript equals fraction numerator m L to the power of 2 end exponent over denominator 12 end fraction plus fraction numerator m L to the power of 2 end exponent over denominator 12 end fraction equals fraction numerator m L to the power of 2 end exponent over denominator 6 end fraction$

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The area bounded by the parabola $blank x to the power of 2 end exponent$ =4ay, x-axis and the straight-line y=2a is

Four balls each of radius 10 cm and mass 1 kg, 2kg, 3 kg and 4 kg are attached to the periphery of massless plate of radius 1 m. What is moment of inertia of the system about the centre of plate?

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I)
II)
III)
IV)

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II)
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is / are

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The radius of germanium ( $G e$ ) nuclide is measured to be twice the radius of $scriptbase B e end scriptbase presubscript 4 end presubscript presuperscript 9 end presuperscript$ . The number of nucleons in Ge are

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