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Physics-

General

Easy

Question

The charges $Q comma blank plus q blank a n d plus q$ are placed at the vertices of a right-angled isosceles triangle as shown. The net electrostatic energy of the configuration is zero if $Q$ is equal to

$\frac{- q}{1 + \sqrt{2}}$
$\frac{- 2 q}{2 + \sqrt{2}}$
$- 2 q$
$+ q$

The correct answer is: $fraction numerator negative 2 q over denominator 2 plus square root of 2 end fraction$

Net electrostatic energy $U equals fraction numerator k Q q over denominator a end fraction plus fraction numerator k q to the power of 2 end exponent over denominator a end fraction plus fraction numerator k Q q over denominator a square root of 2 end fraction equals 0$
$rightwards double arrow fraction numerator k q over denominator a end fraction open parentheses Q plus q plus fraction numerator Q over denominator square root of 2 end fraction close parentheses equals 0 rightwards double arrow Q equals negative fraction numerator 2 q over denominator 2 plus square root of 2 end fraction$

Related Questions to study

The equivalent capacitance between $A$ and $B$ as shown in the figure is

The equivalent capacitance between $A$ and $B$ as shown in the figure is
Physics-General

An electric dipole when placed in a uniform electric field $E$ will have minimum potential energy, if the positive direction of dipole moment makes the following angle with $E$

An electric dipole when placed in a uniform electric field $E$ will have minimum potential energy, if the positive direction of dipole moment makes the following angle with $E$

Physics-General

Let $R$ and $S$ be two relations on a set $A.$ Then, which one of the following is not true?

Let $R$ and $S$ be two relations on a set $A.$ Then, which one of the following is not true?

parallel

$X$ is the set of all residents in a colony and $R$ is a relation defined on $X$ as follows:
“Two persons are related iff they speak the same language”
The relation $R$ is

$X$ is the set of all residents in a colony and $R$ is a relation defined on $X$ as follows:
“Two persons are related iff they speak the same language”
The relation $R$ is

On the set of human beings a relation $R$ is defined as follows:
$" a R b$ iff $a$ and $b$ have the same brother”. Then $R$ is

On the set of human beings a relation $R$ is defined as follows:
$" a R b$ iff $a$ and $b$ have the same brother”. Then $R$ is

Let $R$ be a relation from a set $A$ to a set $B comma$ then

Let $R$ be a relation from a set $A$ to a set $B comma$ then

parallel

If $A subscript 1 end subscript comma A subscript 2 end subscript comma horizontal ellipsis comma A subscript 100 end subscript$ are sets such that $n open parentheses A subscript i end subscript close parentheses equals i plus 2 comma A subscript 1 end subscript subset of A subscript 2 end subscript subset of A subscript 3 end subscript horizontal ellipsis subset of A subscript 100 end subscript$ and $not stretchy ⋂ from i equals 3 to 100 of A subscript i end subscript equals A comma$ then $n open parentheses A close parentheses equals$

If $A subscript 1 end subscript comma A subscript 2 end subscript comma horizontal ellipsis comma A subscript 100 end subscript$ are sets such that $n open parentheses A subscript i end subscript close parentheses equals i plus 2 comma A subscript 1 end subscript subset of A subscript 2 end subscript subset of A subscript 3 end subscript horizontal ellipsis subset of A subscript 100 end subscript$ and $not stretchy ⋂ from i equals 3 to 100 of A subscript i end subscript equals A comma$ then $n open parentheses A close parentheses equals$

The relation “is a factor of” on the set $N$ of all natural numbers is not

The relation “is a factor of” on the set $N$ of all natural numbers is not

If $n open parentheses A intersection B close parentheses equals 5 comma blank n open parentheses A intersection C close parentheses equals 7$ and $n open parentheses A intersection B intersection C close parentheses equals 3 comma$ then the minimum possible value of $n left parenthesis B intersection C right parenthesis$ is

If $n open parentheses A intersection B close parentheses equals 5 comma blank n open parentheses A intersection C close parentheses equals 7$ and $n open parentheses A intersection B intersection C close parentheses equals 3 comma$ then the minimum possible value of $n left parenthesis B intersection C right parenthesis$ is

parallel

Let $R$ be a relation on the set $N$ of natural numbers defined by $n R m left right double arrow n$ is a factor of $m open parentheses i. e. blank n blank close vertical bar blank m right parenthesis.$ Then, $R$ is

Let $R$ be a relation on the set $N$ of natural numbers defined by $n R m left right double arrow n$ is a factor of $m open parentheses i. e. blank n blank close vertical bar blank m right parenthesis.$ Then, $R$ is

The number of elements in the set $left curly bracket open parentheses a comma b close parentheses colon 2 a to the power of 2 end exponent plus 3 b to the power of 2 end exponent equals 35 comma blank a comma blank b element of Z right curly bracket$ , where $Z$ is the set of all integers, is

The number of elements in the set $left curly bracket open parentheses a comma b close parentheses colon 2 a to the power of 2 end exponent plus 3 b to the power of 2 end exponent equals 35 comma blank a comma blank b element of Z right curly bracket$ , where $Z$ is the set of all integers, is

The relation ‘is subset of’ on the power set $P left parenthesis A right parenthesis$ of a set $A$ is

The relation ‘is subset of’ on the power set $P left parenthesis A right parenthesis$ of a set $A$ is

parallel

If $A comma blank B$ and $C$ are three sets such that $A intersection B equals A intersection C$ and $A union B equals A union C$ , then

If $A comma blank B$ and $C$ are three sets such that $A intersection B equals A intersection C$ and $A union B equals A union C$ , then

The relation $R$ defined in $N$ as $a blank R blank b ⟺ b$ is divisible by $a$ is

The relation $R$ defined in $N$ as $a blank R blank b ⟺ b$ is divisible by $a$ is

If $A equals left curly bracket open parentheses x comma y close parentheses colon x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4 semicolon blank x comma y element of R right curly bracket$ and
$B equals left curly bracket open parentheses x comma y close parentheses colon x to the power of 2 end exponent plus y to the power of 2 end exponent equals 9 semicolon x comma y element of R right curly bracket$ , then

If $A equals left curly bracket open parentheses x comma y close parentheses colon x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4 semicolon blank x comma y element of R right curly bracket$ and
$B equals left curly bracket open parentheses x comma y close parentheses colon x to the power of 2 end exponent plus y to the power of 2 end exponent equals 9 semicolon x comma y element of R right curly bracket$ , then

parallel

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