Physics-

General

Easy

Question

A body of mass m is moving in a straight line at a constant speed v. Its kinetic energy is K and the magnitude of its momentum is P. Which of the following relations is correct?

P = 2mK
$P = \sqrt{\frac{2 K}{m}}$
2K = Pv
K = mPv

The correct answer is: 2K = Pv

We know that momentum P = mv and kinetic energy,
$K equals fraction numerator 1 over denominator 2 end fraction m v to the power of 2 end exponent$
Þ $fraction numerator P over denominator K end fraction equals fraction numerator m v over denominator fraction numerator 1 over denominator 2 end fraction m v to the power of 2 end exponent end fraction equals fraction numerator 2 over denominator v end fraction$ Þ 2K = Pv

The ratio of the angular speed of minutes hand and hour hand of a watch is

Physics-General

General

Physics-

A 150 m long train is moving with a uniform velocity of 45 km/h. The time taken by the train to cross a bridge of length 850 meters is

Physics-General

General

Maths-

Statement-1: A and B are two weak students in Mathematics and their chances of solving a problem correctly are 1/8 and 1/12 respectively. They are given a question and they obtain the same answer. If the probability of a common mistake is $fraction numerator 1 over denominator 1001 end fraction$ then the probability that the answer was correct is $fraction numerator 13 over denominator 14 end fraction$
Statement-2: If $E subscript 1 end subscript$ and $E subscript 2 end subscript$ are two mutually exclusive and exhaustive events with non-zero probability of a random experiment and E is any other event of the same experiment then $P open parentheses E subscript 1 end subscript divided by E close parentheses equals fraction numerator P open parentheses E divided by E subscript 1 end subscript close parentheses P open parentheses E subscript 1 end subscript close parentheses over denominator P open parentheses E divided by E subscript 1 end subscript close parentheses P open parentheses E subscript 1 end subscript close parentheses plus P open parentheses E divided by E subscript 2 end subscript close parentheses P open parentheses E subscript 2 end subscript close parentheses end fraction$

Maths-General

General

Maths-

The probability of the simultaneous occurrence of two events A and B is p. If the probability that exactly one of A,B occurs is q, then

Maths-General

General

Maths-

A gas in an open container is heated from 27°C to 127°C. The fraction of the original amount of gas remaining in the container will b

For such questions, we should know idea gas equation. We have to be careful about constant and variable values. And we always have to convert the temperature into Kelvin. To convert the temperature in °C into Kelvin, we add 273 to it.

A gas in an open container is heated from 27°C to 127°C. The fraction of the original amount of gas remaining in the container will b

Maths-General

General

Maths-

If the sum of the ordinate and the abscissa of a point $P left parenthesis x comma y right parenthesis$ is $2 n$ (where $x comma y$ are natural numbers) then the probability that does not line on the line is

Maths-General

General

Maths-

1 mole of N₂O₄ (g) at 300 K is kept in dosed container under 1 atm. It is heated to 600K when 20% mass of N₂O₄(g) decomposes to NO₂(g). The resultant pressure is

Maths-General

General

Maths-

If the minimum value of the expression $y equals left parenthesis 27 right parenthesis to the power of cos invisible function application x end exponent plus left parenthesis 81 right parenthesis to the power of sin invisible function application x end exponent$ can be expressed in the form $square root of a$ where a, b N and are in their lowest term then the value of (a + b) equals

Maths-General

General

Maths-

Consider the lines represented parametically as
L₁ : $x equals 2 t plus 1 comma y equals t comma z equals t minus 1$
L₂ : $x equals s plus 4 comma y equals 4 s plus 5 comma z equals negative s minus 2$
Find equation of the plane P containing the line L₂ and parallel to the line L₁, is

Maths-General

General

Maths-

let l ,m,n be the D.Cs of a vector $stack r with rightwards arrow on top$ and a,b,c are three numbers such that a,b,c are proprotionals to l,m,n i.e, $fraction numerator l over denominator a end fraction equals fraction numerator m over denominator b end fraction equals fraction numerator n over denominator c end fraction equals k. rightwards double arrow left parenthesis a comma b comma c right parenthesis$ are direction rations
$rightwards double arrow l equals plus-or-minus fraction numerator a over denominator square root of a to the power of 2 end exponent plus b to the power of 2 end exponent plus c to the power of 2 end exponent end root end fraction comma m equals plus-or-minus fraction numerator b over denominator square root of a to the power of 2 end exponent plus b to the power of 2 end exponent plus c to the power of 2 end exponent end root end fraction comma n equals plus-or-minus fraction numerator c over denominator square root of a to the power of 2 end exponent plus b to the power of 2 end exponent plus c to the power of 2 end exponent end root end fraction$
$text If end text stack r with rightwards arrow on top equals a i plus b j plus c k$ be a vector having drs $left parenthesis a comma b comma c right parenthesis l equals fraction numerator a over denominator vertical line stack r with rightwards arrow on top vertical line end fraction comma m equals fraction numerator b over denominator vertical line stack r with rightwards arrow on top vertical line end fraction comma l equals n equals fraction numerator c over denominator vertical line stack r with rightwards arrow on top vertical line end fraction$ the angle between two lines whose DCs are $open parentheses l subscript 1 end subscript comma m subscript 1 end subscript comma n subscript 1 end subscript close parentheses text and end text open parentheses l subscript 2 end subscript comma m subscript 2 end subscript comma n subscript 2 end subscript close parentheses$ is $c o s invisible function application theta equals sum l subscript 1 end subscript l subscript 2 end subscript$
A vector $r$ has length 21 and drs 2,3,6 the dcs of $r$ when $stack r with rightwards arrow on top$ makes an obtuse angle with x-axis is

Maths-General

General

Maths-

$integral fraction numerator s i n invisible function application 12 theta minus s i n invisible function application 9 theta over denominator 2 c o s invisible function application 7 theta minus 1 end fraction d theta$ equals to

Maths-General

General

Maths-

If A = $open square brackets table row cell 12 minus 1 end cell row cell negative 112 end cell row cell 2 minus 11 end cell end table close square brackets$ , then det (adj. (adj. A)) is

Maths-General

General

Maths-

Let S be a set containing n elements. Then the total number of binary operations on S is

Maths-General

General

Maths-

$fraction numerator 5 over denominator 1.2.3 end fraction plus fraction numerator 7 over denominator 3.4.5 end fraction plus fraction numerator 9 over denominator 5.6.7 end fraction plus...$ is equal to

Maths-General

General

Maths-

The sum of $fraction numerator 1 to the power of 2 end exponent.2 over denominator 1 factorial end fraction plus fraction numerator 2 to the power of 2 end exponent.3 over denominator 2 factorial end fraction plus fraction numerator 3 to the power of 2 end exponent.4 over denominator 3 factorial end fraction plus fraction numerator 4 to the power of 2 end exponent.5 over denominator 4 factorial end fraction plus... infinity equals$

Maths-General

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A body of mass m is moving in a straight line at a constant speed v. Its kinetic energy is K and the magnitude of its momentum is P. Which of the following relations is correct?

P = 2mK 2K = Pv K = mPv

The correct answer is: 2K = Pv

We know that momentum P = mv and kinetic energy,Þ Þ 2K = Pv

Related Questions to study

The ratio of the angular speed of minutes hand and hour hand of a watch is

The ratio of the angular speed of minutes hand and hour hand of a watch is

A 150 m long train is moving with a uniform velocity of 45 km/h. The time taken by the train to cross a bridge of length 850 meters is

A 150 m long train is moving with a uniform velocity of 45 km/h. The time taken by the train to cross a bridge of length 850 meters is

The probability of the simultaneous occurrence of two events A and B is p. If the probability that exactly one of A,B occurs is q, then

The probability of the simultaneous occurrence of two events A and B is p. If the probability that exactly one of A,B occurs is q, then

A gas in an open container is heated from 27°C to 127°C. The fraction of the original amount of gas remaining in the container will b

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If the sum of the ordinate and the abscissa of a point is (where are natural numbers) then the probability that does not line on the line is

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1 mole of N2O4 (g) at 300 K is kept in dosed container under 1 atm. It is heated to 600K when 20% mass of N2O4(g) decomposes to NO2(g). The resultant pressure is

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Consider the lines represented parametically asL1 : L2 : Find equation of the plane P containing the line L2 and parallel to the line L1, is

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let l ,m,n be the D.Cs of a vector and a,b,c are three numbers such that a,b,c are proprotionals to l,m,n i.e, are direction rations be a vector having drs the angle between two lines whose DCs are is A vector has length 21 and drs 2,3,6 the dcs of when makes an obtuse angle with x-axis is

let l ,m,n be the D.Cs of a vector and a,b,c are three numbers such that a,b,c are proprotionals to l,m,n i.e, are direction rations be a vector having drs the angle between two lines whose DCs are is A vector has length 21 and drs 2,3,6 the dcs of when makes an obtuse angle with x-axis is

equals to

equals to

If A = , then det (adj. (adj. A)) is

If A = , then det (adj. (adj. A)) is

Let S be a set containing n elements. Then the total number of binary operations on S is

Let S be a set containing n elements. Then the total number of binary operations on S is

is equal to

is equal to

The sum of

The sum of

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P = 2mK
$P = \sqrt{\frac{2 K}{m}}$
2K = Pv
K = mPv

If the sum of the ordinate and the abscissa of a point $P left parenthesis x comma y right parenthesis$ is $2 n$ (where $x comma y$ are natural numbers) then the probability that does not line on the line is

If the sum of the ordinate and the abscissa of a point $P left parenthesis x comma y right parenthesis$ is $2 n$ (where $x comma y$ are natural numbers) then the probability that does not line on the line is

1 mole of N₂O₄ (g) at 300 K is kept in dosed container under 1 atm. It is heated to 600K when 20% mass of N₂O₄(g) decomposes to NO₂(g). The resultant pressure is

1 mole of N₂O₄ (g) at 300 K is kept in dosed container under 1 atm. It is heated to 600K when 20% mass of N₂O₄(g) decomposes to NO₂(g). The resultant pressure is

Consider the lines represented parametically as
L₁ : $x equals 2 t plus 1 comma y equals t comma z equals t minus 1$
L₂ : $x equals s plus 4 comma y equals 4 s plus 5 comma z equals negative s minus 2$
Find equation of the plane P containing the line L₂ and parallel to the line L₁, is

Consider the lines represented parametically as
L₁ : $x equals 2 t plus 1 comma y equals t comma z equals t minus 1$
L₂ : $x equals s plus 4 comma y equals 4 s plus 5 comma z equals negative s minus 2$
Find equation of the plane P containing the line L₂ and parallel to the line L₁, is

$integral fraction numerator s i n invisible function application 12 theta minus s i n invisible function application 9 theta over denominator 2 c o s invisible function application 7 theta minus 1 end fraction d theta$ equals to

$integral fraction numerator s i n invisible function application 12 theta minus s i n invisible function application 9 theta over denominator 2 c o s invisible function application 7 theta minus 1 end fraction d theta$ equals to

If A = $open square brackets table row cell 12 minus 1 end cell row cell negative 112 end cell row cell 2 minus 11 end cell end table close square brackets$ , then det (adj. (adj. A)) is

If A = $open square brackets table row cell 12 minus 1 end cell row cell negative 112 end cell row cell 2 minus 11 end cell end table close square brackets$ , then det (adj. (adj. A)) is

$fraction numerator 5 over denominator 1.2.3 end fraction plus fraction numerator 7 over denominator 3.4.5 end fraction plus fraction numerator 9 over denominator 5.6.7 end fraction plus...$ is equal to

$fraction numerator 5 over denominator 1.2.3 end fraction plus fraction numerator 7 over denominator 3.4.5 end fraction plus fraction numerator 9 over denominator 5.6.7 end fraction plus...$ is equal to