Maths-

General

Easy

Question

Which function is shown in graph?

Constant
Modulus
Identity
Signum function

Hint:

This function is a special type of linear function having the form $f open parentheses x close parentheses equals x$

The correct answer is: Identity

Identity function

The graph of an identity function is a straight line that passes from the origin. For an identity function, the domain and range are the same.

Five rods of same dimensions are arranged as shown in figure. They have thermal conductivities $K subscript 1 end subscript comma blank K subscript 2 end subscript comma blank K subscript 3 end subscript comma blank K subscript 4 end subscript a n d K subscript 5 end subscript.$ When points $A blank a n d blank B$ are maintained at different temperature, no heat would flow through central rod, if

The equivalent electrical circuit, figure in these cases is of Wheatstone bridge. No current would flow through central rod

C D

when the bridge is balanced. The condition for balanced Wheatstone bridge is

fraction numerator P over denominator Q end fraction equals fraction numerator R over denominator S end fraction

(in terms of resistances)

fraction numerator 1 divided by K subscript 1 end subscript over denominator 1. K subscript 2 end subscript end fraction equals fraction numerator 1 divided by K subscript 3 end subscript over denominator 1 divided by K subscript 4 end subscript end fraction

fraction numerator K subscript 2 end subscript over denominator K subscript 1 end subscript end fraction equals fraction numerator K subscript 4 end subscript over denominator K subscript 3 end subscript end fraction

K subscript 1 end subscript K subscript 4 end subscript equals K subscript 2 end subscript K subscript 3 end subscript

Five rods of same dimensions are arranged as shown in figure. They have thermal conductivities $K subscript 1 end subscript comma blank K subscript 2 end subscript comma blank K subscript 3 end subscript comma blank K subscript 4 end subscript a n d K subscript 5 end subscript.$ When points $A blank a n d blank B$ are maintained at different temperature, no heat would flow through central rod, if

physics-General

The equivalent electrical circuit, figure in these cases is of Wheatstone bridge. No current would flow through central rod

C D

when the bridge is balanced. The condition for balanced Wheatstone bridge is

fraction numerator P over denominator Q end fraction equals fraction numerator R over denominator S end fraction

(in terms of resistances)

fraction numerator 1 divided by K subscript 1 end subscript over denominator 1. K subscript 2 end subscript end fraction equals fraction numerator 1 divided by K subscript 3 end subscript over denominator 1 divided by K subscript 4 end subscript end fraction

fraction numerator K subscript 2 end subscript over denominator K subscript 1 end subscript end fraction equals fraction numerator K subscript 4 end subscript over denominator K subscript 3 end subscript end fraction

K subscript 1 end subscript K subscript 4 end subscript equals K subscript 2 end subscript K subscript 3 end subscript

General

physics-

If two metallic plates of equal thicknesses and thermal conductivities $K subscript 1 end subscript$ and $K subscript 2 end subscript$ are put together face to face and a common plate is constructed, then the equivalent thermal conductivity of this plate will be

In series,

R subscript e q end subscript equals R subscript 1 end subscript plus R subscript 2 end subscript rightwards double arrow fraction numerator 2 l over denominator K subscript e q end subscript A end fraction equals fraction numerator l over denominator K subscript 1 end subscript A end fraction plus fraction numerator l over denominator K subscript 2 end subscript A end fraction

rightwards double arrow fraction numerator 2 over denominator K subscript e q end subscript end fraction equals fraction numerator 1 over denominator K subscript 1 end subscript end fraction plus fraction numerator 1 over denominator K subscript 2 end subscript end fraction rightwards double arrow K subscript e q end subscript equals fraction numerator 2 K subscript 1 end subscript K subscript 2 end subscript over denominator K subscript 1 end subscript plus K subscript 2 end subscript end fraction

If two metallic plates of equal thicknesses and thermal conductivities $K subscript 1 end subscript$ and $K subscript 2 end subscript$ are put together face to face and a common plate is constructed, then the equivalent thermal conductivity of this plate will be

physics-General

In series,

R subscript e q end subscript equals R subscript 1 end subscript plus R subscript 2 end subscript rightwards double arrow fraction numerator 2 l over denominator K subscript e q end subscript A end fraction equals fraction numerator l over denominator K subscript 1 end subscript A end fraction plus fraction numerator l over denominator K subscript 2 end subscript A end fraction

rightwards double arrow fraction numerator 2 over denominator K subscript e q end subscript end fraction equals fraction numerator 1 over denominator K subscript 1 end subscript end fraction plus fraction numerator 1 over denominator K subscript 2 end subscript end fraction rightwards double arrow K subscript e q end subscript equals fraction numerator 2 K subscript 1 end subscript K subscript 2 end subscript over denominator K subscript 1 end subscript plus K subscript 2 end subscript end fraction

General

physics-

The graph, shown in the adjacent diagram, represents the variation of temperature $left parenthesis T right parenthesis$ of two bodies, $x$ and $y$ having same surface area, with time ( $t$ ) due to the emission of radiation. Find the correct relation between the emissivity and absorptivity power of the two bodies.

Rate of cooling

left parenthesis negative fraction numerator d T over denominator d t end fraction right parenthesis proportional to

emissivity(e)
From the graph,

open parentheses negative fraction numerator d T over denominator d t end fraction close parentheses subscript x end subscript greater than open parentheses negative fraction numerator d T over denominator d t end fraction close parentheses subscript y end subscript

therefore e subscript x end subscript greater than e subscript y end subscript

Further emissivity (

e

)

proportional to

absorptive power (

a

) (good absorbers are good emitters also)

therefore a subscript x end subscript greater than a subscript y end subscript

The graph, shown in the adjacent diagram, represents the variation of temperature $left parenthesis T right parenthesis$ of two bodies, $x$ and $y$ having same surface area, with time ( $t$ ) due to the emission of radiation. Find the correct relation between the emissivity and absorptivity power of the two bodies.

physics-General

Rate of cooling

left parenthesis negative fraction numerator d T over denominator d t end fraction right parenthesis proportional to

emissivity(e)
From the graph,

open parentheses negative fraction numerator d T over denominator d t end fraction close parentheses subscript x end subscript greater than open parentheses negative fraction numerator d T over denominator d t end fraction close parentheses subscript y end subscript

therefore e subscript x end subscript greater than e subscript y end subscript

Further emissivity (

e

)

proportional to

absorptive power (

a

) (good absorbers are good emitters also)

therefore a subscript x end subscript greater than a subscript y end subscript

General

maths-

$s i n space A plus s i n space 3 A plus s i n space 5 A plus s i n space 7 A equals$

Apply SinC+SinD formula

$s i n space A plus s i n space 3 A plus s i n space 5 A plus s i n space 7 A equals$

maths-General

Apply SinC+SinD formula

General

maths-

Value of $s i n to the power of 6 space 7 1 half to the power of ring operator plus c o s to the power of 6 space 7 1 half$ is

s i n to the power of 6 end exponent invisible function application theta plus c o s to the power of 6 end exponent invisible function application theta equals 1 minus fraction numerator 3 over denominator 4 end fraction s i n to the power of 2 end exponent invisible function application 2 theta comma text  put  end text theta equals 7 fraction numerator 1 over denominator 2 end fraction

Value of $s i n to the power of 6 space 7 1 half to the power of ring operator plus c o s to the power of 6 space 7 1 half$ is

maths-General

s i n to the power of 6 end exponent invisible function application theta plus c o s to the power of 6 end exponent invisible function application theta equals 1 minus fraction numerator 3 over denominator 4 end fraction s i n to the power of 2 end exponent invisible function application 2 theta comma text  put  end text theta equals 7 fraction numerator 1 over denominator 2 end fraction

General

Maths-

In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like neither tea nor coffee?

Maths-General

General

Maths-

In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like either tea or coffee?

Maths-General

General

maths-

Let $A equals left curly bracket A subscript 1 end subscript comma A subscript 2 end subscript comma A subscript 3 end subscript comma A subscript 4 end subscript comma A subscript 5 end subscript comma A subscript 6 end subscript right curly bracket$ be the set of six unit circles with centres $C subscript 1 end subscript comma C subscript 2 end subscript comma C subscript 3 end subscript horizontal ellipsis C subscript 6 end subscript$ arranged as shown in the diagram. The relation $R$ on A is defined by $left parenthesis A subscript i end subscript comma A subscript j end subscript right parenthesis element of R less than rightwards double arrow C subscript i end subscript C subscript j end subscript less or equal than 2 square root of 2$ then

maths-General

Have a query? Ask a Tutor!!

Can’t find what you’re looking for?

Which function is shown in graph?

Constant Modulus Identity Signum function

This function is a special type of linear function having the form

The correct answer is: Identity

Identity function

Related Questions to study

Five rods of same dimensions are arranged as shown in figure. They have thermal conductivities When points are maintained at different temperature, no heat would flow through central rod, if

Five rods of same dimensions are arranged as shown in figure. They have thermal conductivities When points are maintained at different temperature, no heat would flow through central rod, if

If two metallic plates of equal thicknesses and thermal conductivities and are put together face to face and a common plate is constructed, then the equivalent thermal conductivity of this plate will be

If two metallic plates of equal thicknesses and thermal conductivities and are put together face to face and a common plate is constructed, then the equivalent thermal conductivity of this plate will be

The graph, shown in the adjacent diagram, represents the variation of temperature of two bodies, and having same surface area, with time () due to the emission of radiation. Find the correct relation between the emissivity and absorptivity power of the two bodies.

The graph, shown in the adjacent diagram, represents the variation of temperature of two bodies, and having same surface area, with time () due to the emission of radiation. Find the correct relation between the emissivity and absorptivity power of the two bodies.

Value of is

Value of is

What is for two mutually exclusive sets A and B?

What is for two mutually exclusive sets A and B?

Which of the following is set representing neither A nor B?

Which of the following is set representing neither A nor B?

Which of the following is set representing B but not A?

Which of the following is set representing B but not A?

Which of the following is set representing A but not B?

Which of the following is set representing A but not B?

Which of the following is set B?

Which of the following is set B?

Which of the following is set A?

Which of the following is set A?

Which of the following is correct?

Which of the following is correct?

In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like neither tea nor coffee?

In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like neither tea nor coffee?

In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like either tea or coffee?

In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like either tea or coffee?

Let be the set of six unit circles with centres arranged as shown in the diagram. The relation on A is defined by then

Let be the set of six unit circles with centres arranged as shown in the diagram. The relation on A is defined by then

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Constant
Modulus
Identity
Signum function

This function is a special type of linear function having the form $f open parentheses x close parentheses equals x$

If two metallic plates of equal thicknesses and thermal conductivities $K subscript 1 end subscript$ and $K subscript 2 end subscript$ are put together face to face and a common plate is constructed, then the equivalent thermal conductivity of this plate will be

If two metallic plates of equal thicknesses and thermal conductivities $K subscript 1 end subscript$ and $K subscript 2 end subscript$ are put together face to face and a common plate is constructed, then the equivalent thermal conductivity of this plate will be

Value of $s i n to the power of 6 space 7 1 half to the power of ring operator plus c o s to the power of 6 space 7 1 half$ is

Value of $s i n to the power of 6 space 7 1 half to the power of ring operator plus c o s to the power of 6 space 7 1 half$ is

What is $A union B$ for two mutually exclusive sets A and B?

What is $A union B$ for two mutually exclusive sets A and B?