Two small objects- each having a charge of Q- are located on the y-axis a distance -a and a from the origin- Another small object- having a charge q- starts at rest on the x-axis very far away i-e- at x - - The two objects on the y-axis are fixed in place- The object of charge q is released from rest- is attracted to the other two objects- and travels along the x-axis- What is its speed as it passes through the origin-

The correct option is B 2√(kQqma) A Charge =Q +a and a charge =q 1 2 mV ^ 2 =QE #160; #160; #160; #160; #160; ...

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Byju's Answer

Standard XII

Physics

Potential Energy - External Viewpoint

Two small obj...

Question

Two small objects, each having a charge of $Q$ , are located on the y-axis a distance $+ a$ and $a$ from the origin. Another small object, having a charge $q$ , starts at rest on the x-axis very far away (i.e. at $x = \infty$ ). The two objects on the y-axis are fixed in place. The object of charge $q$ is released from rest, is attracted to the other two objects, and travels along the x-axis. What is its speed as it passes through the origin?

\sqrt{\frac{2 k Q q}{m a}}

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2 \sqrt{\frac{k Q q}{m a}}

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2 \sqrt{\frac{2 k Q q}{m a}}

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4 \sqrt{\frac{k Q q}{m a}}

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Solution

The correct option is B $2 \sqrt{\frac{k Q q}{m a}}$
A Charge $= Q$
$+ a$ and $a$ charge $= q$
$\frac{1}{2} {m V}^{2} = Q E$
$= \frac{Q \times k q}{q^{2}}$
or, $V = \sqrt{\frac{2 k Q q}{m a}}$ .

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The correct option is B 2√kQqmaA Charge =Q+a and a charge =q12mV2=QE =Q×kqq2or, V=√2kQqma.

The correct option is B $2 \sqrt{\frac{k Q q}{m a}}$
A Charge $= Q$
$+ a$ and $a$ charge $= q$
$\frac{1}{2} {m V}^{2} = Q E$
$= \frac{Q \times k q}{q^{2}}$
or, $V = \sqrt{\frac{2 k Q q}{m a}}$ .