Physics-
General
Easy

Question

Two particles of mass m, constrained to move along the circumference of a smooth circular hoop of equal mass m, are initially located at opposite ends of a diameter and given equal velocities V subscript 0 end subscript shown in the figure. The entire arrangement is located in gravity free space. Their velocity just before collision is

  1. fraction numerator 1 over denominator square root of 3 end fraction v subscript 0 end subscript    
  2. fraction numerator square root of 3 over denominator 2 end fraction v subscript 0 end subscript    
  3. fraction numerator 2 over denominator square root of 3 end fraction v subscript 0 end subscript    
  4. fraction numerator square root of 7 over denominator 3 end fraction v subscript 0 end subscript    

The correct answer is: fraction numerator 1 over denominator square root of 3 end fraction v subscript 0 end subscript

Related Questions to study

General
physics-

A ball of mass 1 kg strikes a heavy platform, elastically, moving upwards with a velocity of 5m/s. The speed of the ball just before the collision is 10m/s downwards. Then the impulse imparted by the platform on the ball is

A ball of mass 1 kg strikes a heavy platform, elastically, moving upwards with a velocity of 5m/s. The speed of the ball just before the collision is 10m/s downwards. Then the impulse imparted by the platform on the ball is

physics-General
General
physics-

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)

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)

physics-General
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
parallel
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
physics-

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

physics-General
General
physics-

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
parallel
General
physics-

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
physics-

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

physics-General
General
physics-

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

physics-General
parallel
General
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
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
parallel
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
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
parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.