A particle is released from a height. at certain height its kin-Turito

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A particle is released from a height. At certain height its kinetic energy is three times its potential energy. The height and speed of the particle at that instant are respectively

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$\frac{S}{4}, \frac{3 gS}{2}$
$\frac{S}{4}, \frac{\sqrt{3 gS}}{2}$
$\frac{S}{2}, \frac{\sqrt{3 g S}}{2}$
$\frac{S}{4} \cdot \frac{\sqrt{3 gS}}{2}$

Answer:The correct answer is: $straight S over 4 times fraction numerator square root of 3 gS end root over denominator 2 end fraction$ Velocity at when dropped from where

Or (i)
Potential energy at (ii)

Kinetic energy potential energy

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Reason (R) : $fraction numerator P x plus q over denominator left parenthesis x minus a right parenthesis left parenthesis x minus b right parenthesis end fraction equals fraction numerator P a plus q over denominator left parenthesis x minus a right parenthesis left parenthesis a minus b right parenthesis end fraction plus fraction numerator P b plus q over denominator left parenthesis x minus b right parenthesis left parenthesis b minus a right parenthesis end fraction$

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A particle is released from a height. At certain height its kinetic energy is three times its potential energy. The height and speed of the particle at that instant are respectively

$\frac{S}{4}, \frac{3 gS}{2}$
$\frac{S}{4}, \frac{\sqrt{3 gS}}{2}$
$\frac{S}{2}, \frac{\sqrt{3 g S}}{2}$
$\frac{S}{4} \cdot \frac{\sqrt{3 gS}}{2}$

Answer:The correct answer is: $straight S over 4 times fraction numerator square root of 3 gS end root over denominator 2 end fraction$ Velocity at when dropped from where

Or (i)
Potential energy at (ii)

Kinetic energy potential energy

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Related Questions to study

If ⁹P₅ + 5 ⁹P₄ = ¹⁰P_r, then r =

If ⁹P₅ + 5 ⁹P₄ = ¹⁰P_r, then r =

Total number of divisors of 480, that are of the form 4n + 2, n  0, is equal to :

Total number of divisors of 480, that are of the form 4n + 2, n  0, is equal to :

The sum of all the numbers that can be formed with the digits 2, 3, 4, 5 taken all at a time is (repetition is not allowed) :

The sum of all the numbers that can be formed with the digits 2, 3, 4, 5 taken all at a time is (repetition is not allowed) :

A person predicts the outcome of 20 cricket matches of his home team. Each match can result either in a win, loss or tie for the home team. Total number of ways in which he can make the predictions so that exactly 10 predictions are correct, is equal to :

A person predicts the outcome of 20 cricket matches of his home team. Each match can result either in a win, loss or tie for the home team. Total number of ways in which he can make the predictions so that exactly 10 predictions are correct, is equal to :

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How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd digits occupy even position ?

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A force–time graph for a linear motion is shown in figure where the segments are circular. The linear momentum gained between zero and is

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The value of 'c' of Lagrange's mean value theorem for $f space left parenthesis x right parenthesis equals x squared minus 3 x minus 2 text for end text x element of left square bracket negative 1 , 2 right square bracket$ is

The value of 'c' of Lagrange's mean value theorem for $f space left parenthesis x right parenthesis equals x squared minus 3 x minus 2 text for end text x element of left square bracket negative 1 , 2 right square bracket$ is

The value of 'c' of Rolle's mean value theorem for $f space left parenthesis x right parenthesis equals vertical line x vertical line equals i n space left square bracket negative 1 , 1 right square bracket$ is

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The value of 'c' of Rolle's theorem for $f space left parenthesis x right parenthesis equals l o g space open parentheses x squared plus 2 close parentheses$ – $l o g subscript 3 end subscript$ on [–1, 1] is

The value of 'c' of Rolle's theorem for $f space left parenthesis x right parenthesis equals l o g space open parentheses x squared plus 2 close parentheses$ – $l o g subscript 3 end subscript$ on [–1, 1] is

For $f space left parenthesis x right parenthesis equals 4 minus left parenthesis 6 minus x right parenthesis to the power of 2 divided by 3 end exponent$ in [5, 7]

For $f space left parenthesis x right parenthesis equals 4 minus left parenthesis 6 minus x right parenthesis to the power of 2 divided by 3 end exponent$ in [5, 7]

The greatest possible number of points of intersections of 8 straight line and 4 circles is :

The greatest possible number of points of intersections of 8 straight line and 4 circles is :

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A particle is released from a height. At certain height its kinetic energy is three times its potential energy. The height and speed of the particle at that instant are respectively

Answer:The correct answer is: Velocity at when dropped from where Or (i) Potential energy at (ii) Kinetic energy potential energy

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Assertion (A) :If , then Reason (R) :

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Total number of divisors of 480, that are of the form 4n + 2, n  0, is equal to :

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A person predicts the outcome of 20 cricket matches of his home team. Each match can result either in a win, loss or tie for the home team. Total number of ways in which he can make the predictions so that exactly 10 predictions are correct, is equal to :

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How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd digits occupy even position ?

If x is real, then maximum value of is

If x is real, then maximum value of is

A force–time graph for a linear motion is shown in figure where the segments are circular. The linear momentum gained between zero and is

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The value of 'c' of Rolle's mean value theorem for is

The value of 'c' of Rolle's mean value theorem for is

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The value of 'c' of Rolle's theorem for – on [–1, 1] is

For in [5, 7]

For in [5, 7]

Assertion (A):If ,then AReason (R) :

Assertion (A):If ,then AReason (R) :

The greatest possible number of points of intersections of 8 straight line and 4 circles is :

The greatest possible number of points of intersections of 8 straight line and 4 circles is :

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Answer:The correct answer is: $straight S over 4 times fraction numerator square root of 3 gS end root over denominator 2 end fraction$ Velocity at when dropped from where

Or (i)
Potential energy at (ii)

Kinetic energy potential energy

If ⁹P₅ + 5 ⁹P₄ = ¹⁰P_r, then r =

If ⁹P₅ + 5 ⁹P₄ = ¹⁰P_r, then r =

If x is real, then maximum value of $fraction numerator 3 x to the power of 2 end exponent plus 9 x plus 17 over denominator 3 x to the power of 2 end exponent plus 9 x plus 7 end fraction$ is

If x is real, then maximum value of $fraction numerator 3 x to the power of 2 end exponent plus 9 x plus 17 over denominator 3 x to the power of 2 end exponent plus 9 x plus 7 end fraction$ is

The value of 'c' of Lagrange's mean value theorem for $f space left parenthesis x right parenthesis equals x squared minus 3 x minus 2 text for end text x element of left square bracket negative 1 , 2 right square bracket$ is

The value of 'c' of Lagrange's mean value theorem for $f space left parenthesis x right parenthesis equals x squared minus 3 x minus 2 text for end text x element of left square bracket negative 1 , 2 right square bracket$ is

The value of 'c' of Rolle's mean value theorem for $f space left parenthesis x right parenthesis equals vertical line x vertical line equals i n space left square bracket negative 1 , 1 right square bracket$ is

The value of 'c' of Rolle's mean value theorem for $f space left parenthesis x right parenthesis equals vertical line x vertical line equals i n space left square bracket negative 1 , 1 right square bracket$ is

The value of 'c' of Rolle's theorem for $f space left parenthesis x right parenthesis equals l o g space open parentheses x squared plus 2 close parentheses$ – $l o g subscript 3 end subscript$ on [–1, 1] is

The value of 'c' of Rolle's theorem for $f space left parenthesis x right parenthesis equals l o g space open parentheses x squared plus 2 close parentheses$ – $l o g subscript 3 end subscript$ on [–1, 1] is

For $f space left parenthesis x right parenthesis equals 4 minus left parenthesis 6 minus x right parenthesis to the power of 2 divided by 3 end exponent$ in [5, 7]

For $f space left parenthesis x right parenthesis equals 4 minus left parenthesis 6 minus x right parenthesis to the power of 2 divided by 3 end exponent$ in [5, 7]