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Maths-

General

Easy

Question

Which of the following has period 2 $straight pi$

$f (x) = s i n (2 π x + \frac{π}{3}) + 2 s i n (3 π x + \frac{π}{4}) + 3 s i n 5 π x$
$f (x) = \sin \frac{π x}{3} + \sin \frac{π x}{4}$
$f (x) = s i n x + c o s 2 x$
None of these

The correct answer is: $f left parenthesis x right parenthesis equals s i n invisible function application x plus c o s invisible function application 2 x$

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At $90 to the power of ring operator$ C, pure water has $open square brackets straight H subscript 3 straight O to the power of plus close square brackets equals 10 to the power of negative 6 end exponent mol text litre end text to the power of negative 1 end exponent$ . The value of K w at $90 to the power of ring operator$ Cis

At $90 to the power of ring operator$ C, pure water has $open square brackets straight H subscript 3 straight O to the power of plus close square brackets equals 10 to the power of negative 6 end exponent mol text litre end text to the power of negative 1 end exponent$ . The value of K w at $90 to the power of ring operator$ Cis

Chemistry-General

If $f left parenthesis x plus y right parenthesis equals f left parenthesis x right parenthesis plus f left parenthesis y right parenthesis minus x y minus 1$ for all x,y and $f left parenthesis 1 right parenthesis equals 1$ then the number of solution of $f left parenthesis n right parenthesis equals n comma n element of N$ is

If $f left parenthesis x plus y right parenthesis equals f left parenthesis x right parenthesis plus f left parenthesis y right parenthesis minus x y minus 1$ for all x,y and $f left parenthesis 1 right parenthesis equals 1$ then the number of solution of $f left parenthesis n right parenthesis equals n comma n element of N$ is

Let $f left parenthesis x right parenthesis equals 1 plus vertical line x vertical line comma x less than negative 1 equals left square bracket x right square bracket comma x greater or equal than negative 1$ where $left square bracket times right square bracket$ denotes the greatest integer function.Then $f left curly bracket f left parenthesis 2.3 right parenthesis right curly bracket$ is equal to

Let $f left parenthesis x right parenthesis equals 1 plus vertical line x vertical line comma x less than negative 1 equals left square bracket x right square bracket comma x greater or equal than negative 1$ where $left square bracket times right square bracket$ denotes the greatest integer function.Then $f left curly bracket f left parenthesis 2.3 right parenthesis right curly bracket$ is equal to

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If $f colon open 4 , 5 close parentheses rightwards arrow open 0 , 1 close parentheses$ is defined by $f left parenthesis x right parenthesis equals left curly bracket x right curly bracket$ the fractional part of x then $f to the power of negative 1 end exponent left parenthesis x right parenthesis$

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The dissociation constant of acetic acid is $1.8 cross times 10 to the power of negative 5 end exponent$ and that of ammonium hydroxide is also 1.8 x 10^-5 at 25°C. Hence, an aqueous solution of ammonium acetate is:

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Chemistry-General

Which one of the following solutions will have the highest pH value?

Which one of the following solutions will have the highest pH value?

Chemistry-General

parallel

Given that the dissociation constant for water is Kw: $1 cross times 10 to the power of negative 14 end exponent m o l to the power of 2 end exponent L to the power of negative 2 end exponent$ . The pH of a 0.001 molar KOH solution is:

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Chemistry-General

A diatomic ideal gas is used in a Carnot engine as the working substance. If during the adiabatic expansion part of the cycle the volume of the gas increases from V to 32 V, the efficiency of the engine is

A diatomic ideal gas is used in a Carnot engine as the working substance. If during the adiabatic expansion part of the cycle the volume of the gas increases from V to 32 V, the efficiency of the engine is

Physics-General

A mass of diatomic gas(y=1.4) at a pressure of 2 atmospheres is compressed adiabatically so that its temperature rises from 27C $degree$ to 927 $degree$ C.The pressure of the gas in final state is

A mass of diatomic gas(y=1.4) at a pressure of 2 atmospheres is compressed adiabatically so that its temperature rises from 27C $degree$ to 927 $degree$ C.The pressure of the gas in final state is

Physics-General

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A system goes from A to B via two processes I and II as shown in figure .If $capital delta$ U₁and if $capital delta$ U₂are the changes in internal energies in the processes I and II respectively, then the relation between If $capital delta$ U₁andIf $capital delta$ U₂is

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Physics-General

A refrigerator works between 4°C and 30°C. It is required to remove 600 calories of heat every second in order to keep the temperature of the refrigerated space constant. The power required is: (Take 1 cal =4.2joule)

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Physics-General

An insulated container of gas has two chambers separated by an insulating partition. One of the chambers has volume V₁and contains ideal gas at pressure P₁ and temperature T₁ The other chamber has volume V₂ and contains ideal gas at pressure P₂ and temperature T₂. If the partition is removed without doing any work on the gas, the final equilibrium temperature of the gas in the container will be

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Physics-General

parallel

Carbon monoxide is carried around P K to1000K in going from a to b. The quantity of heat rejected by the gas during the process ca is

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Physics-General

The relation between U,P and V for an ideal gas in an adiabatic process is given by relation U = a+ b P V. Find the value of adiabatic exponent $left parenthesis gamma right parenthesis$ of this gas

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Physics-General

Two rods of the same length and diameter having thermal conductivities K₁ and K₂ are joined in parallel. The equivalent thermal conductivity of the combination is

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Physics-General

parallel

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