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Physics-

General

Easy

Question

Two particles of mass m, constrained to move along the circumference of a smooth circular hoop of equal mass m, are initially located at opposite ends of a diameter and given equal velocities $V subscript 0 end subscript$ shown in the figure. The entire arrangement is located in gravity free space. Their velocity just before collision is

$\frac{1}{\sqrt{3}} v_{0}$
$\frac{\sqrt{3}}{2} v_{0}$
$\frac{2}{\sqrt{3}} v_{0}$
$\frac{\sqrt{7}}{3} v_{0}$

The correct answer is: $fraction numerator 1 over denominator square root of 3 end fraction v subscript 0 end subscript$

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Let A be a 2 × 2 matrix with real entries. Let I be the 2 × 2 identity matrix. Denote by tr (A), the sum of diagonal entries of A, Assume that A² = I
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Statement II : The inverse of a diagonal matrix is a diagonal matrix..

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Two blocks A and B are joined together with a compressed spring. When the system is released, the two blocks appear to be moving with unequal speeds in the opposite directions as shown in figure. Select incorrect statement(s)

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