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CBSE Class 12 Physics 2023 Outside Delhi Set 1 Paper

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Question : 1 of 35
Marks: +1, -0
SECTION - A
The magnitude of the electric field due to a point charge object at a distance of 4.0 m4.0\,\text{m} is 9 NC9\,\frac{\mathrm{N}}{\mathrm{C}}. From the same charged object the electric field of magnitude, 16 NC16\,\frac{\mathrm{N}}{\mathrm{C}} will be at a distance of
In 1st1^{\text{st}} case,
E=kqr2E=\frac{kq}{r^2}
Or, 9=kq42 [r=4.0 m]\text{Or, }9=\frac{kq}{4^2}\,[r=4.0\,\text{m}]
∴kq=9×16\therefore kq=9\times 16
In 2nd case,\text{In }2^{\text{nd}}\text{ case,}
E′=kq(r′)2E'=\frac{kq}{(r')^2}
Or, 16=9×16(r′)2\text{Or, }16=\frac{9\times 16}{(r')^2}
Or, (r′)2=9\text{Or, }(r')^2=9
∴r′=3 m\therefore r'=3\,\text{m}
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