A body of mass m 1 is moving with a velocity V. It collides with another stationary body of mass m 2 . They get embedded. At the point of collision, the velocity of the system

Decreases but does not become zero

Physics - Systems Particles Rotational Motion - Quiz-8

A ²³⁸U nucleus decays by emitting an alpha particle of speed v ms^–1. The recoil speed of the residual nucleus is (in ms^–1)

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–4v/234
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v/4
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–4v/238
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4v/238

A smooth sphere of mass M moving with velocity u directly collides elastically with another sphere of mass m at rest. After collision their final velocities are V and v respectively. The value of v is

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$\frac{2 u M}{m}$
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$\frac{2 u m}{M}$
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$\frac{2 u}{1 + \frac{m}{M}}$
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$\frac{2 u}{1 + \frac{M}{m}}$

A particle of mass m moving with horizontal speed 6 m/sec as shown in figure. If m << M then for one dimensional elastic collision, the speed of lighter particle after collision will be

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2m/sec in original direction
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2 m/sec opposite to the original direction
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4 m/sec opposite to the original direction
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4 m/sec in original direction

A shell of mass m moving with velocity v suddenly breaks into 2 pieces. The part having mass m/4 remains stationary. The velocity of the other shell will be

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v
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2v
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$\frac{3}{4} v$
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$\frac{4}{3} v$

A body falls on a surface of coefficient of restitution 0.6 from a height of 1 m. Then the body rebounds to a height of

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0.6 m
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0.4 m
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1 m
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0.36 m

A body at rest breaks up into 3 parts. If 2 parts having equal masses fly off perpendicularly each after with a velocity of 12m/s, then the velocity of the third part which has 3 times mass of each part is

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$4 \sqrt{2} m / s$ at an angle of 45° from each body
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$24 \sqrt{2} m / s$ at an angle of 135° from each body
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$6 \sqrt{2} m / s$ at 135° from each body
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$4 \sqrt{2} m / s$ at 135° from each body

A particle falls from a height h upon a fixed horizontal plane and rebounds. If e is the coefficient of restitution, the total distance travelled before rebounding has stopped is

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$h (\frac{1 + e^{2}}{1 - e^{2}})$
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$h (\frac{1 - e^{2}}{1 + e^{2}})$
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$\frac{h}{2} (\frac{1 - e^{2}}{1 + e^{2}})$
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$\frac{h}{2} (\frac{1 + e^{2}}{1 - e^{2}})$

A body of mass 5 kg moving with a velocity 10m/s collides with another body of the mass 20 kg at, rest and comes to rest. The velocity of the second body due to collision is

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2.5 m/s
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5 m/s
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7.5 m/s
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10 m/s

A ball of mass m moving with velocity V, makes a head on elastic collision with a ball of the same mass moving with velocity 2V towards it. Taking direction of V as positive, velocities of the two balls after collision are-

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–V and 2V
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2 V and –V
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V and –2V
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–2V and V

A spacecraft of mass 'M' and moving with velocity 'v' suddenly breaks in two pieces. After the explosion one of the mass 'm' becomes stationary. What is the velocity of the other part of craft

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$\frac{M v}{M - m}$
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v
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$\frac{M v}{m}$
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$\frac{M - m}{m} v$

Two masses m_Aand m_B moving with velocities v_A and v_B in opposite directions collide elastically. After that the masses m_A and m_B move with velocity v_B and v_A respectively. The ratio (m_A/m_B) is

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1
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$\frac{v_{A} - v_{B}}{v_{A} + v_{B}}$
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$(m_{A} + m_{B}) / m_{A}$
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$v_{A} / v_{B}$

A tennis ball is released from height h above ground level. If the ball makes inelastic collision with the ground, to what height will it rise after third collision

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he⁶
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e²h
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e³h
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None of these

A mass 'm' moves with a velocity 'v' and collides inelastically with another identical mass. After collision the 1st mass moves with velocity $\frac{v}{\sqrt{3}}$ in a direction perpendicular to the initial direction of motion. Find the speed of the 2^nd mass after collision

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$\frac{2}{\sqrt{3}} v$
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$\frac{v}{\sqrt{3}}$
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v
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$\sqrt{3} v$

A sphere collides with another sphere of identical mass. After collision, the two spheres move. The collision is inelastic. Then the angle between the directions of the two spheres is

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90°
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0°
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45°
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Different from 90°

A bag (mass M) hangs by a long thread and a bullet (mass m) comes horizontally with velocity v and gets caught in the bag. Then for the combined (bag + bullet) system

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Momentum is $\frac{m v M}{M + m}$
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Kinetic energy is $\frac{m v^{2}}{2}$
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Momentum is $\frac{m v (M + m)}{M}$
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Kinetic energy is $\frac{m^{2} v^{2}}{2 (M + m)}$

A particle of mass m moving with velocity v strikes a stationary particle of mass 2m and sticks to it. The speed of the system will be

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v/2
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2v
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v/3
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3v

If a skater of weight 3 kg has initial speed 32 m/s and second one of weight 4 kg has 5 m/s. After collision, they have speed (couple) 5 m/s. Then the loss in K.E. is

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48 J
0%

96 J
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Zero
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None of these

A metal ball of mass 2 kg moving with a velocity of 36 km/h has an head on collision with a stationary ball of mass 3 kg. If after the collision, the two balls move together, the loss in kinetic energy due to collision is

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40 J
0%

60 J
0%

100 J
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140 J

A body of mass 2kg is moving with velocity 10 m/s towards east. Another body of same mass and same velocity moving towards north collides with former and coalsces and moves towards north-east. Its velocity is

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10 m/s
0%

5 m/s
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2.5 m/s
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$5 \sqrt{2} m / s$

Which of the following is not a perfectly inelastic collision

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Striking of two glass balls
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A bullet striking a bag of sand
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An electron captured by a proton
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A man jumping onto a moving cart

A neutron having mass of $1 .67 \times 10^{- 27} k g$ and moving at $10^{8} m / s$ collides with a deutron at rest and sticks to it. If the mass of the deutron is $3 .34 \times 10^{- 27} k g$ then the speed of the combination is

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$2 .56 \times 10^{3} m / s$
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$2 .98 \times 10^{5} m / s$
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$3 .33 \times 10^{7} m / s$
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$5 .01 \times 10^{9} m / s$

A body of mass m₁ is moving with a velocity V. It collides with another stationary body of mass m₂. They get embedded. At the point of collision, the velocity of the system

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Decreases but does not become zero
0%

Remains same
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Become zero
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Increases

Consider the following two statements

1. Linear momentum of a system of particles is zero

2. Kinetic energy of a system of particles is zero Then

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1 implies 2 and 2 implies 1
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1 does not imply 2 and 2 does not imply 1
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1 implies 2 but 2 does not imply 1
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1 does not imply 2 but 2 implies 1

A shell is fired from a cannon with velocity v m/sec at an angle θ with the horizontal direction. At the highest point in its path it explodes into two pieces of equal mass. One of the pieces retraces its path to the cannon. The speed (in m/sec) of the other piece immediately after the explosion is

0%

3v cos θ
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2v cos θ
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$\frac{3}{2} v \cos θ$
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$\frac{\sqrt{3}}{2} v \cos θ$

Two particles of masses m₁ and m₂ in projectile motion have velocities ${\vec{v}}_{1}$ and ${\vec{v}}_{2}$ respectively at time t = 0. They collide at time t₀. Their velocities become ${\vec{v}}_{1}'$ and ${\vec{v}}_{2}'$ at time 2t₀ while still moving in air. The value of $|(m_{1} \vec{v_{1}}' + m_{2} \vec{v_{2}}') - (m_{1} \vec{v_{1}} + m_{2} \vec{v_{2}})|$ is

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Zero
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$(m_{1} + m_{2}) g t_{0}$
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$2 (m_{1} + m_{2}) g t_{0}$
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$\frac{1}{2} (m_{1} + m_{2}) g t_{0}$

A rod PQ of mass M and length L is hinged at end P. The rod is kept horizontal by a muscle string tied to point Q as shown in the figure. When the string is cut, the initial angular acceleration of the rod is -

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3g/2L
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g/L
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2g/L
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2g/3L

Consider elastic collision of a particle of mass m moving with a velocity u with another particle of the same mass at rest. After the collision the projectile and the struck particle move in directions making angles θ₁ and θ₂respectively with the initial direction of motion. The sum of the angles. θ₁ + θ₂, is

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45°
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90°
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135°
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180°

A rope is wound around a hollow cylinder of mass 3 kg and radius 40cm. What is the angular acceleration of the cylinder,if the rope is pulled with a force of 30 N?

0%

25 $m / s^{2}$
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0.25 $r a d / s^{2}$
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25 $r a d / s^{2}$
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5 $m / s^{2}$

Two discs of same moment of inertia rotating about their regular axis passing through centre and perpendicular to the plane of disc with angular velocities $ω_{1} a n d ω_{2}$ . They are brought into contact face to face coinciding the axis of rotation. The expression for loss of energy during this proces is

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() $\frac{1}{2} I {(ω_{1} + ω_{2})}^{2}$
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() $\frac{1}{4} I {(ω_{1} - ω_{2})}^{2}$
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() $I {(ω_{1} - ω_{2})}^{2}$
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() $\frac{1}{8} I {(ω_{1} - ω_{2})}^{2}$

Two identical balls A and B having velocities of 0.5 m/s and -0.3 m/s respectively collide elastically in one dimension. The velocities of B and A after the collision respectively will be

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-0.5 m/s and 0.3 m/s
0%

0.5 m/s and -0.3 m/s
0%

-0.3 m/s and 0.5 m/s
0%

0.3 m/s and 0.5 m/s

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Practice Physics Quiz Questions and Answers

0:0:1

Practice Physics Quiz Questions and Answers

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