Physics-
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Question

Three balls A, B and C open parentheses m subscript A end subscript equals m subscript C end subscript equals 4 m subscript B end subscript close parentheses are placed on a smooth horizontal surface. Ball B collides with ball C with an initial velocity v as shown in the figure. Total number of collisions between the balls will be (All collisions are elastic)

  1. One    
  2. Two    
  3. Three    
  4. Four    

The correct answer is: One

Related Questions to study

General
maths-

Let A be a 2 × 2 matrix with real entries. Let I be the 2 × 2 identity matrix. Denote by tr (A), the sum of diagonal entries of A, Assume that A2 = I
Statement- 1:If A ≠ I and A ≠ – I, then det A = – 1
Statement -2 :If A ≠ I and A  ≠–I, then tr (A)  ≠ 0

Let A be a 2 × 2 matrix with real entries. Let I be the 2 × 2 identity matrix. Denote by tr (A), the sum of diagonal entries of A, Assume that A2 = I
Statement- 1:If A ≠ I and A ≠ – I, then det A = – 1
Statement -2 :If A ≠ I and A  ≠–I, then tr (A)  ≠ 0

maths-General
General
maths-

Statement I : If A = open square brackets table attributes columnalign left left left columnspacing 1em end attributes row cell a      0      0 end cell row cell 0      b      0 end cell row cell 0      0      c end cell end table close square brackets , then A–1 = open square brackets table attributes columnalign center center center columnspacing 1em end attributes row cell 1 over a end cell 0 0 row 0 cell 1 over b end cell 0 row 0 0 cell 1 over c end cell end table close square brackets
Statement II : The inverse of a diagonal matrix is a diagonal matrix..

Statement I : If A = open square brackets table attributes columnalign left left left columnspacing 1em end attributes row cell a      0      0 end cell row cell 0      b      0 end cell row cell 0      0      c end cell end table close square brackets , then A–1 = open square brackets table attributes columnalign center center center columnspacing 1em end attributes row cell 1 over a end cell 0 0 row 0 cell 1 over b end cell 0 row 0 0 cell 1 over c end cell end table close square brackets
Statement II : The inverse of a diagonal matrix is a diagonal matrix..

maths-General
General
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The figure shows the positions and velocities of two particles. If the particles move under the mutual attraction of each other, then the position of centre of mass at t =1 s is

The figure shows the positions and velocities of two particles. If the particles move under the mutual attraction of each other, then the position of centre of mass at t =1 s is

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General
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The velocity of centre of mass of the system as shown in the figure

The velocity of centre of mass of the system as shown in the figure

physics-General
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Three man A, B & C of mass 40 kg, 50 kg & 60 kg are standing on a plank of mass 90 kg, which is kept on a smooth horizontal plane. If A & C exchange their positions then mass B will shift

Three man A, B & C of mass 40 kg, 50 kg & 60 kg are standing on a plank of mass 90 kg, which is kept on a smooth horizontal plane. If A & C exchange their positions then mass B will shift

physics-General
General
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Considering a system having two masses m1 and m2 in which first mass is pushed towards centre of mass by a distance a, the distance required to be moved for second mass to keep centre of mass at same position is

Considering a system having two masses m1 and m2 in which first mass is pushed towards centre of mass by a distance a, the distance required to be moved for second mass to keep centre of mass at same position is

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A uniform wire of length l is bent into the shape of 'V' as shown. The distance of its centre of mass from the vertex A is

A uniform wire of length l is bent into the shape of 'V' as shown. The distance of its centre of mass from the vertex A is

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physics-

Centre of mass of two uniform rods of same length but made up of different materials & kept as shown, if the meeting point is the origin of co–ordinates

Centre of mass of two uniform rods of same length but made up of different materials & kept as shown, if the meeting point is the origin of co–ordinates

physics-General
General
maths-

Statement I : The inverse of the matrix  open square brackets table attributes columnalign center center center columnspacing 1em end attributes row 1 3 5 row 2 6 10 row 9 8 7 end table close square brackets does not exist.
Statement II : The matrix  open square brackets table attributes columnalign center center center columnspacing 1em end attributes row 1 3 5 row 2 6 10 row 9 8 7 end table close square brackets is singular. [because open vertical bar table attributes columnalign center center center columnspacing 1em end attributes row 1 3 5 row 2 6 10 row 9 8 7 end table close vertical bar = 0, since R2 = 2R1]

Statement I : The inverse of the matrix  open square brackets table attributes columnalign center center center columnspacing 1em end attributes row 1 3 5 row 2 6 10 row 9 8 7 end table close square brackets does not exist.
Statement II : The matrix  open square brackets table attributes columnalign center center center columnspacing 1em end attributes row 1 3 5 row 2 6 10 row 9 8 7 end table close square brackets is singular. [because open vertical bar table attributes columnalign center center center columnspacing 1em end attributes row 1 3 5 row 2 6 10 row 9 8 7 end table close vertical bar = 0, since R2 = 2R1]

maths-General
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General
physics-

Two blocks A and B of masses m and 2m respectively are connected by a spring of spring constant k. The masses are moving to the right with a uniform velocity v subscript 0 end subscript each, the heavier mass leading the lighter one. The spring is of natural length during this motion. Block B collides head on with a third block C of mass 2m. at rest, the collision being completely inelastic. The maximum compression of the spring after collision is –

Two blocks A and B of masses m and 2m respectively are connected by a spring of spring constant k. The masses are moving to the right with a uniform velocity v subscript 0 end subscript each, the heavier mass leading the lighter one. The spring is of natural length during this motion. Block B collides head on with a third block C of mass 2m. at rest, the collision being completely inelastic. The maximum compression of the spring after collision is –

physics-General
General
physics-

Two blocks A and B of masses m and 2m respectively are connected by a spring of spring constant k. The masses are moving to the right with a uniform velocity v subscript 0 end subscript each, the heavier mass leading the lighter one. The spring is of natural length during this motion. Block B collides head on with a third block C of mass 2m. at rest, the collision being completely inelastic. The velocity of centre of mass of system of block A, B & C is-

Two blocks A and B of masses m and 2m respectively are connected by a spring of spring constant k. The masses are moving to the right with a uniform velocity v subscript 0 end subscript each, the heavier mass leading the lighter one. The spring is of natural length during this motion. Block B collides head on with a third block C of mass 2m. at rest, the collision being completely inelastic. The velocity of centre of mass of system of block A, B & C is-

physics-General
General
physics-

Two blocks A and B of masses m and 2m respectively are connected by a spring of spring constant k. The masses are moving to the right with a uniform velocity v subscript 0 end subscript each, the heavier mass leading the lighter one. The spring is of natural length during this motion. Block B collides head on with a third block C of mass 2m. at rest, the collision being completely inelastic. The velocity of block B just after collision is-

Two blocks A and B of masses m and 2m respectively are connected by a spring of spring constant k. The masses are moving to the right with a uniform velocity v subscript 0 end subscript each, the heavier mass leading the lighter one. The spring is of natural length during this motion. Block B collides head on with a third block C of mass 2m. at rest, the collision being completely inelastic. The velocity of block B just after collision is-

physics-General
parallel
General
physics-

Two blocks A and B are joined together with a compressed spring. When the system is released, the two blocks appear to be moving with unequal speeds in the opposite directions as shown in figure. Select incorrect statement(s)

Two blocks A and B are joined together with a compressed spring. When the system is released, the two blocks appear to be moving with unequal speeds in the opposite directions as shown in figure. Select incorrect statement(s)

physics-General
General
Maths-

Statement I : The order of the matrix A is 4 × 5 and that of B is 3 × 4. Then the matrix AB is not possible.
Statement II : AB is defined if number of columns of A = number of rows of B

The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. If both A and B are square matrices of the same order, then both AB and BA are defined. If AB and BA are both defined, it is not necessary that AB = BA.

Statement I : The order of the matrix A is 4 × 5 and that of B is 3 × 4. Then the matrix AB is not possible.
Statement II : AB is defined if number of columns of A = number of rows of B

Maths-General

The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. If both A and B are square matrices of the same order, then both AB and BA are defined. If AB and BA are both defined, it is not necessary that AB = BA.

General
maths-

Statement I : The determinant of matrix  open square brackets table attributes columnalign center center center columnspacing 1em end attributes row 0 cell p minus q end cell cell p minus r end cell row cell q minus p end cell 0 cell q minus r end cell row cell r minus p end cell cell r minus q end cell 0 end table close square brackets equals 0
Statement II : The determinant of a skew symmetric matrix of odd order is zero.

Statement I : The determinant of matrix  open square brackets table attributes columnalign center center center columnspacing 1em end attributes row 0 cell p minus q end cell cell p minus r end cell row cell q minus p end cell 0 cell q minus r end cell row cell r minus p end cell cell r minus q end cell 0 end table close square brackets equals 0
Statement II : The determinant of a skew symmetric matrix of odd order is zero.

maths-General
parallel

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