The number of ways of distributing 8 identical balls in 3 disti-Turito

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Easy

Maths-

The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is-

Maths-General

5
21
3⁸
⁸C₃

Answer:The correct answer is: 21

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The value of ⁵⁰C₄ + $not stretchy sum subscript r equals 1 end subscript superscript 6 end superscript 56 minus r C subscript 3 end subscript$ is -

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How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which not two S are adjacent ?

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A mass of $100 blank g$ strikes the wall with speed $5 blank m divided by s$ at an angle as shown in figure and it rebounds with the same speed. If the contact time is $2 cross times 10 to the power of negative 3 end exponent s e c$ , what is the force applied on the mass by the wall

Force = Rate of change of momentum
Initial momentum

stack P with rightwards arrow on top subscript 1 end subscript equals m v sin invisible function application theta stack i with hat on top plus m v cos invisible function application theta blank stack j with hat on top

Final momentum

stack P with rightwards arrow on top subscript 2 end subscript equals negative m v sin invisible function application theta stack i with hat on top plus m v cos invisible function application theta blank stack j with hat on top

therefore stack F with rightwards arrow on top equals fraction numerator increment stack P with rightwards arrow on top over denominator increment t end fraction equals fraction numerator negative 2 m v sin invisible function application theta over denominator 2 cross times 10 to the power of negative 3 end exponent end fraction

Substituting

m equals 0.1 blank k g comma blank v equals 5 blank m divided by s comma blank theta equals 60 degree

Force on the ball

stack F with rightwards arrow on top equals negative 250 square root of 3 N

Negative sign indicates direction of the force

A mass of $100 blank g$ strikes the wall with speed $5 blank m divided by s$ at an angle as shown in figure and it rebounds with the same speed. If the contact time is $2 cross times 10 to the power of negative 3 end exponent s e c$ , what is the force applied on the mass by the wall

physics-General

Force = Rate of change of momentum
Initial momentum

stack P with rightwards arrow on top subscript 1 end subscript equals m v sin invisible function application theta stack i with hat on top plus m v cos invisible function application theta blank stack j with hat on top

Final momentum

stack P with rightwards arrow on top subscript 2 end subscript equals negative m v sin invisible function application theta stack i with hat on top plus m v cos invisible function application theta blank stack j with hat on top

therefore stack F with rightwards arrow on top equals fraction numerator increment stack P with rightwards arrow on top over denominator increment t end fraction equals fraction numerator negative 2 m v sin invisible function application theta over denominator 2 cross times 10 to the power of negative 3 end exponent end fraction

Substituting

m equals 0.1 blank k g comma blank v equals 5 blank m divided by s comma blank theta equals 60 degree

Force on the ball

stack F with rightwards arrow on top equals negative 250 square root of 3 N

Negative sign indicates direction of the force

General

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If the locus of the mid points of the chords of the ellipse $fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1$ , drawn parallel to $y equals m subscript 1 end subscript x$ is $y equals m subscript 2 end subscript x$ then $m subscript 1 end subscript m subscript 2 end subscript equals$

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If ⁿC_r denotes the number of combinations of n things taken r at a time, then the expression ⁿC_r+1 + ⁿC_{r –1} + 2 × ⁿC_r equals-

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The coefficient of $x to the power of n$ in $fraction numerator x plus 1 over denominator left parenthesis x minus 1 right parenthesis squared left parenthesis x minus 2 right parenthesis end fraction$ is

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The number of ways is which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question is -

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An intense stream of water of cross-sectional area $A$ strikes a wall at an angle $theta$ with the normal to the wall and returns back elastically. If the density of water is $rho$ and its velocity is $v$ ,then the force exerted in the wall will be

Linear momentum of water striking per second to the wall

P subscript 1 end subscript equals m v equals A v rho blank v equals A v to the power of 2 end exponent blank rho

P subscript r end subscript equals A v to the power of 2 end exponent rho

Now making components of momentum along

x

- axes and

y

-axes. Change in momentum of water per second

equals P subscript i end subscript cos invisible function application theta plus P subscript r end subscript cos invisible function application theta

equals 2 A v to the power of 2 end exponent blank rho cos invisible function application theta

By definition of force, force exerted on the Wall

equals 2 A v to the power of 2 end exponent blank rho cos invisible function application theta

An intense stream of water of cross-sectional area $A$ strikes a wall at an angle $theta$ with the normal to the wall and returns back elastically. If the density of water is $rho$ and its velocity is $v$ ,then the force exerted in the wall will be

physics-General

Linear momentum of water striking per second to the wall

P subscript 1 end subscript equals m v equals A v rho blank v equals A v to the power of 2 end exponent blank rho

P subscript r end subscript equals A v to the power of 2 end exponent rho

Now making components of momentum along

x

- axes and

y

-axes. Change in momentum of water per second

equals P subscript i end subscript cos invisible function application theta plus P subscript r end subscript cos invisible function application theta

equals 2 A v to the power of 2 end exponent blank rho cos invisible function application theta

By definition of force, force exerted on the Wall

equals 2 A v to the power of 2 end exponent blank rho cos invisible function application theta

General

physics-

The force required to stretch a spring varies with the distance as shown in the figure. If the experiment is performed with above spring of half length, the line $O A$ will

When the length of spring is halved, its spring constant will becomes double

open square brackets B e c a u s e blank k proportional to fraction numerator 1 over denominator x end fraction proportional to fraction numerator 1 over denominator L end fraction therefore k proportional to fraction numerator 1 over denominator L end fraction close square brackets

Slope of force displacement graph gives the spring constant

left parenthesis k right parenthesis

of spring
If

k

becomes double then slope of the graph increases

i. e.

graph shifts towards force- axis

The force required to stretch a spring varies with the distance as shown in the figure. If the experiment is performed with above spring of half length, the line $O A$ will

physics-General

When the length of spring is halved, its spring constant will becomes double

open square brackets B e c a u s e blank k proportional to fraction numerator 1 over denominator x end fraction proportional to fraction numerator 1 over denominator L end fraction therefore k proportional to fraction numerator 1 over denominator L end fraction close square brackets

Slope of force displacement graph gives the spring constant

left parenthesis k right parenthesis

of spring
If

k

becomes double then slope of the graph increases

i. e.

graph shifts towards force- axis

General

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ⁿC_r + ²ⁿC_r+1 + ⁿC^r+2 is equal to (2 $less or equal than$ r $less or equal than$ n)

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A rectangle has sides of (2m – 1) & (2n – 1) units as shown in the figure composed of squares having edge length one unit then no. of rectangles which have odd unit length

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If r, s, t are prime numbers and p, q are the positive integers such that the LCM of p, q is r²t⁴s², then the number of ordered pair (p, q) is –

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Two small particles of equal masses start moving in opposite directions from a point $A$ in a horizontal circular orbit. Their tangential velocities are $v$ and $2 v$ , respectively, as shown in the figure. Between collisions, the particles move with constant speeds. After making how many elastic collisions, other than that at $A$ , these two particles will again reach the point $A$

Let initially particle

x

is moving in anticlockwise direction and

y

in clockwise direction
As the ratio of velocities of

x

and

y

particles are

fraction numerator v subscript x end subscript over denominator v subscript y end subscript end fraction equals fraction numerator 1 over denominator 2 end fraction

, therefore ratio of their distance covered will be in the ratio of

2 blank colon 1

. It means they collide at point B

After first collision at B, velocities of particles get interchanged,

i. e

x

will move with

2 v

and particle

y

with

v

Second collision will take place at point C. Again at this point velocities get interchanged and third collision take place at point A
So, after two collision these two particles will again reach the point A

Two small particles of equal masses start moving in opposite directions from a point $A$ in a horizontal circular orbit. Their tangential velocities are $v$ and $2 v$ , respectively, as shown in the figure. Between collisions, the particles move with constant speeds. After making how many elastic collisions, other than that at $A$ , these two particles will again reach the point $A$

physics-General

Let initially particle

x

is moving in anticlockwise direction and

y

in clockwise direction
As the ratio of velocities of

x

and

y

particles are

fraction numerator v subscript x end subscript over denominator v subscript y end subscript end fraction equals fraction numerator 1 over denominator 2 end fraction

, therefore ratio of their distance covered will be in the ratio of

2 blank colon 1

. It means they collide at point B

After first collision at B, velocities of particles get interchanged,

i. e

x

will move with

2 v

and particle

y

with

v

General

maths-

In a model, it is shown that an arch of abridge is semi-elliptical with major axis horizontal. If the length of the base is 9 m and the highest part of the bridge is 3 m from the horizontal, the best approximation of the height of the arch, 2 m from the centre of the base is

maths-General

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Can’t find what you’re looking for?

The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is-

5
21
3⁸
⁸C₃

Answer:The correct answer is: 21

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The value of ⁵⁰C₄ + $not stretchy sum subscript r equals 1 end subscript superscript 6 end superscript 56 minus r C subscript 3 end subscript$ is -

How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which not two S are adjacent ?

How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which not two S are adjacent ?

A mass of $100 blank g$ strikes the wall with speed $5 blank m divided by s$ at an angle as shown in figure and it rebounds with the same speed. If the contact time is $2 cross times 10 to the power of negative 3 end exponent s e c$ , what is the force applied on the mass by the wall

A mass of $100 blank g$ strikes the wall with speed $5 blank m divided by s$ at an angle as shown in figure and it rebounds with the same speed. If the contact time is $2 cross times 10 to the power of negative 3 end exponent s e c$ , what is the force applied on the mass by the wall

If ⁿC_r denotes the number of combinations of n things taken r at a time, then the expression ⁿC_r+1 + ⁿC_{r –1} + 2 × ⁿC_r equals-

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An intense stream of water of cross-sectional area $A$ strikes a wall at an angle $theta$ with the normal to the wall and returns back elastically. If the density of water is $rho$ and its velocity is $v$ ,then the force exerted in the wall will be

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ⁿC_r + ²ⁿC_r+1 + ⁿC^r+2 is equal to (2 $less or equal than$ r $less or equal than$ n)

ⁿC_r + ²ⁿC_r+1 + ⁿC^r+2 is equal to (2 $less or equal than$ r $less or equal than$ n)

A rectangle has sides of (2m – 1) & (2n – 1) units as shown in the figure composed of squares having edge length one unit then no. of rectangles which have odd unit length

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The eccentricity of the hyperbola whose latus rectum subtends a right angle at centre is

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In a model, it is shown that an arch of abridge is semi-elliptical with major axis horizontal. If the length of the base is 9 m and the highest part of the bridge is 3 m from the horizontal, the best approximation of the height of the arch, 2 m from the centre of the base is

In a model, it is shown that an arch of abridge is semi-elliptical with major axis horizontal. If the length of the base is 9 m and the highest part of the bridge is 3 m from the horizontal, the best approximation of the height of the arch, 2 m from the centre of the base is

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The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is-

5 21 38 8C3

Answer:The correct answer is: 21

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The value of 50C4 + is -

The value of 50C4 + is -

How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which not two S are adjacent ?

How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which not two S are adjacent ?

A mass of strikes the wall with speed at an angle as shown in figure and it rebounds with the same speed. If the contact time is , what is the force applied on the mass by the wall

A mass of strikes the wall with speed at an angle as shown in figure and it rebounds with the same speed. If the contact time is , what is the force applied on the mass by the wall

If the locus of the mid points of the chords of the ellipse , drawn parallel to is then

If the locus of the mid points of the chords of the ellipse , drawn parallel to is then

If nCr denotes the number of combinations of n things taken r at a time, then the expression nCr+1 + nCr –1 + 2 × nCr equals-

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An intense stream of water of cross-sectional area strikes a wall at an angle with the normal to the wall and returns back elastically. If the density of water is and its velocity is ,then the force exerted in the wall will be

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The eccentricity of the hyperbola whose latus rectum subtends a right angle at centre is

In a model, it is shown that an arch of abridge is semi-elliptical with major axis horizontal. If the length of the base is 9 m and the highest part of the bridge is 3 m from the horizontal, the best approximation of the height of the arch, 2 m from the centre of the base is

In a model, it is shown that an arch of abridge is semi-elliptical with major axis horizontal. If the length of the base is 9 m and the highest part of the bridge is 3 m from the horizontal, the best approximation of the height of the arch, 2 m from the centre of the base is

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5
21
3⁸
⁸C₃

The value of ⁵⁰C₄ + $not stretchy sum subscript r equals 1 end subscript superscript 6 end superscript 56 minus r C subscript 3 end subscript$ is -

The value of ⁵⁰C₄ + $not stretchy sum subscript r equals 1 end subscript superscript 6 end superscript 56 minus r C subscript 3 end subscript$ is -

A mass of $100 blank g$ strikes the wall with speed $5 blank m divided by s$ at an angle as shown in figure and it rebounds with the same speed. If the contact time is $2 cross times 10 to the power of negative 3 end exponent s e c$ , what is the force applied on the mass by the wall

A mass of $100 blank g$ strikes the wall with speed $5 blank m divided by s$ at an angle as shown in figure and it rebounds with the same speed. If the contact time is $2 cross times 10 to the power of negative 3 end exponent s e c$ , what is the force applied on the mass by the wall

If ⁿC_r denotes the number of combinations of n things taken r at a time, then the expression ⁿC_r+1 + ⁿC_{r –1} + 2 × ⁿC_r equals-

If ⁿC_r denotes the number of combinations of n things taken r at a time, then the expression ⁿC_r+1 + ⁿC_{r –1} + 2 × ⁿC_r equals-

The coefficient of $x to the power of n$ in $fraction numerator x plus 1 over denominator left parenthesis x minus 1 right parenthesis squared left parenthesis x minus 2 right parenthesis end fraction$ is

The coefficient of $x to the power of n$ in $fraction numerator x plus 1 over denominator left parenthesis x minus 1 right parenthesis squared left parenthesis x minus 2 right parenthesis end fraction$ is

An intense stream of water of cross-sectional area $A$ strikes a wall at an angle $theta$ with the normal to the wall and returns back elastically. If the density of water is $rho$ and its velocity is $v$ ,then the force exerted in the wall will be

An intense stream of water of cross-sectional area $A$ strikes a wall at an angle $theta$ with the normal to the wall and returns back elastically. If the density of water is $rho$ and its velocity is $v$ ,then the force exerted in the wall will be

The force required to stretch a spring varies with the distance as shown in the figure. If the experiment is performed with above spring of half length, the line $O A$ will

The force required to stretch a spring varies with the distance as shown in the figure. If the experiment is performed with above spring of half length, the line $O A$ will

ⁿC_r + ²ⁿC_r+1 + ⁿC^r+2 is equal to (2 $less or equal than$ r $less or equal than$ n)

ⁿC_r + ²ⁿC_r+1 + ⁿC^r+2 is equal to (2 $less or equal than$ r $less or equal than$ n)

If r, s, t are prime numbers and p, q are the positive integers such that the LCM of p, q is r²t⁴s², then the number of ordered pair (p, q) is –

If r, s, t are prime numbers and p, q are the positive integers such that the LCM of p, q is r²t⁴s², then the number of ordered pair (p, q) is –