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CBSE Questions for Class 11 Engineering Physics Laws Of Motion Quiz 15 - MCQExams.com
CBSE
Class 11 Engineering Physics
Laws Of Motion
Quiz 15
If velocity of C immediately after collision becomes $$v_0/2$$ in the initial direction of motion, the impulse due to string on sphere A is?
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$$\dfrac{mv_0}{8}$$
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$$\dfrac{mv_0}{2}$$
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$$\dfrac{\sqrt{mv_0}}{4}$$
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None of these
A curved section of a road is banked for a speed v. If there is no friction Between the road and the tyres the :
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a car moving with speed v does not slip on the road
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a car is more likely to.slip on the road at speeds higher than v, than at speeds lower than v
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a car is more likely to slip on the road at speeds lower than v, than at speeds higher than v
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a car can remain stationary on the road without slipping
For the system shown in the figure, $$m_1 > m_2 > m_3 > m_4$$. Initally , the system is at rest in equilibrium condition. If the string joining $$m_4$$ and ground is cut, then just after the string is cut
Statement I : $$m_1, m_2, m_3$$ remain stationary.
Statement II: The value of acceleration of all the four blocks can be determined.
Statement III: Only $$m_4$$ remains stationary .
Statement IV: Only $$m_4$$ accelerates.
Now, choose the correct options.
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All the statements are correct.
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Only I, II and IV are correct.
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Only I, and II are correct
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Only II and IV are correct.
Explanation
when we cut string between $$m_4$$ and ground, that time tension of the string becomes zero. Just after the cut, the force applied by string remains the same. after some time, when spring comes into its natural position at that time it will change. So after the cut, $$m_1, m_2 \textrm{ and } m_3$$ remains stationary. By balancing forces, we can calculate their acceleration.
Hence statements I, II, IV are correct.
A ball of mass $$m=100\ gm$$ is suspended from a point $$A$$ by an inextensible thread of length $$l$$. Ball is drawn a side and held at same level as $$A$$ but at a distance $$\dfrac{\sqrt{3}}{2}l$$ from $$A$$ as shown in figure. Now ball is released.
Then:
(assume string applies only that much jerk which is required so that velocity along string becomes $$0$$)
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velocity of ball just before experiencing jerk is $$\sqrt{gl}$$
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velocity of ball just after experiencing jerk is $$\sqrt{\dfrac{3gj}{2}}$$
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impulse applied by string $$\sqrt{\dfrac{gl}{20}}$$
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ball will experience jerk after reaching to point $$B$$
In the cabin of a ship, a soda can rests in a saucer-shaped indentation in a built-in counter. The can tilts as the ship slowly rolls. In which case is the can most stable against tipping over?
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It is most stable when it is full.
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It is most stable when it is half full.
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It is most stable when it is empty.
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It is most stable in two of these cases.
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It is equally stable in all cases.
Choose whether true or false:-
Air-filled balloons defy the conservation of momentum.
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True
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False
Explanation
In the air-filled balloon, balloon, and air inside form a kind of system. Initially when the system is at rest, so the momentum of the system is also zero. As soon as the balloon is set free air escapes out with some great velocity, balloon moves in the direction opposite to air rushing out.So that their momentum are in opposite direction and cancel out to be zero, which is same as initial momentum.
Hence they follow the conservation of momentum and hence the given statement is false.
Which of the following uses the principle of conservation of momentum?
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Motion of rockets and jet engines
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Ballon moves upwards when burst or when air is expelled out of it
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Gun recoils after firing
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All of these
Explanation
In the air-filled balloon, balloon, and air inside form a kind of system. Initially when the system is at rest, so the momentum of the system is also zero. As soon as the balloon is set free air escapes out with some great velocity, balloon moves forward in the direction opposite to air rushing out, before firing both gun and bullet are at rest, therefore momentum of the system is zero. When the bullet is fired the bullet moves forward and gun recoils back.
Rockets and jet engines also work on the law of conservation of momentum. In these hot gases produced by burning of fuel rush out with large momentum, Due to this, these machines gain an equal and opposite momentum. This momentum enables the rockets and jet engines with very high velocities, hence option $$D$$ is correct.
Choose whether true or false:-
Rockets have extremely high velocities due to conservation of momentum.
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True
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False
Explanation
Rockets and jet engines work on the law of conservation of momentum. In these hot gases produced by burning of fuel rush out with large momentum, Due to this, these machines gain an equal and opposite momentum,in order to conserve total momentum.This momentum enables the rockets and jet engines with very high velocities, hence the given statement is true.
Choose whether true or false:-
Motorboats work on the principle of conservation of momentum.
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True
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False
Explanation
Motorboats work on the principle of conservation of momentum, it pushes the water backward and gets pushed forwards in reaction to conserve momentum. Hence, the given statement is correct.
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