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Physics-

General

Easy

Question

The energy of a charged capacitor is given by the expression ( $q$ = charge on the conductor and C = its capacity)

$\frac{q^{2}}{2 C}$
$\frac{q^{2}}{C}$
$2 q C$
$\frac{q}{2 C^{2}}$

The correct answer is: $fraction numerator q to the power of 2 end exponent over denominator 2 C end fraction$

$q equals C V$ and $U equals fraction numerator 1 over denominator 2 end fraction C V to the power of 2 end exponent equals fraction numerator q to the power of 2 end exponent over denominator 2 C end fraction$

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The electric flux for Gaussian surface A that enclose the charged particles in free space is (given q₁ = –14 nC, q₂ = 78.85 nC, q₃ = – 56 nC)

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Consider the charge configuration and spherical Gaussian surface as shown in the figure. When calculating the flux of the electric field over the spherical surface the electric field will be due to

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$q subscript 1 end subscript comma q subscript 2 end subscript comma q subscript 3 end subscript$ and $q subscript 4 end subscript$ are point charges located at points as shown in the figure and $S$ is a spherical Gaussian surface of radius R. Which of the following is true according to the Gauss’s law

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Electric charge is uniformly distributed along a long straight wire of radius 1mm. The charge per cm length of the wire is Q coulomb. Another cylindrical surface of radius 50 cm and length 1m symmetrically encloses the wire as shown in the figure. The total electric flux passing through the cylindrical surface is

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On a planet a freely falling body takes 2 sec when it is dropped from a height of 8 m, the time period of simple pendulum of length 1 m on that planet is

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The equation of the tangent to curve $gamma equals b e to the power of negative x divided by a end exponent$ at the point where it crosses $gamma$ ‐axis is

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If the curve $gamma equals a to the power of chi$ and $gamma equals b to the power of chi end exponent$ intersect at angle cx, find the value of $t a n blank alpha.$

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The abscissae of the points, where the tangent to curve $gamma equals x to the power of 3 end exponent minus 3 x to the power of 2 end exponent minus 9 x plus 5$ is parallel to $x$ ‐axis, are

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The equation of a plane passing through $left parenthesis 1 comma blank 2 comma blank minus 3 right parenthesis$ and $left parenthesis 0 , 0 comma 0 right parenthesis$ and perpendicular to the plane 3 $x minus 5 gamma plus 2 z equals 11$ is

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