A uniform electric field E = (8m/e) V/m is created between two parallel plate of length 1m as shown in figure, (where m = mass of electron and e = charge of electron). An electron enters the field symmetrically between the plates with a speed of 2 m/s. The angle of the deviation ( θ) of the path of the electron as it comes out of the field will be________.

Option 1 - <p>tan<sup>-1</sup>(4)</p>
Option 2 - <p>tan<sup>-1</sup>(2)</p>
Option 3 - <p>tan<sup>-1</sup> &lt;!-- [if gte mso 9]>&lt;xml&gt; <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1025" DrawAspect="Content" ObjectID="_1813998622"> </o:OLEObject> &lt;/xml&gt;&lt;![endif]--&gt;&nbsp;<sup><span class="mathml" contenteditable="false"> <math> <mrow> <mrow> <mo>(</mo> <mrow> <mfrac> <mrow> <mn>1</mn> </mrow> <mrow> <mn>3</mn> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> </mrow> </math> </span></sup></p>
Option 4 - <p>&lt;!-- [if gte mso 9]>&lt;xml&gt; <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1025" DrawAspect="Content" ObjectID="_1813998642"> </o:OLEObject> &lt;/xml&gt;&lt;![endif]--&gt;&nbsp;<span class="mathml" contenteditable="false"> <math> <mrow> <mi>t</mi> <mi>a</mi> <msup> <mrow> <mi>n</mi> </mrow> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> <mrow> <mo>(</mo> <mrow> <mn>3</mn> </mrow> <mo>)</mo> </mrow> </mrow> </math> </span></p>
16 Views|Posted 7 months ago
Asked by Shiksha User
1 Answer
V
7 months ago
Correct Option - 2
Detailed Solution:

 E=8mev/m

Time to come out, t = 12sec

Vy=at= (eEm)t= (em*8me)*12=4m/s

So,  tan? =VyVx=42

? ? =tan? 12

 

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