CBSE Questions for Class 11 Engineering Physics Motion In A Plane Quiz 15 - MCQExams.com

A boat which is rowed with constant velocity u, starts from point A on the bank of river which flows with a constant velocity v and its points always towards a point B. On the other bank exactly opposite to A, the equation of the path of boat is:
  • $$r\sin \theta =c\left(\tan \dfrac{\theta}{2}\right)^{u/v}$$
  • $$r\sin\theta =\dfrac{u}{v}$$
  • $$r^2\sin\theta =\dfrac{u}{v}$$
  • $$ur^2=v\sin^2\theta$$
  • None of the above
A particle of mass $$1\,kg$$ , tied to a $$1.2\,m$$ long strip is whirled to perform vertical circular motion , under gravity. Minimum speed of a particle is $$5\,m/s$$. Consider following statements.
(P) Maximum speed must be $$55\,m/s$$.
(Q) Difference between maximum and minimum tension along the strip is $$60\,N$$.
Select the correct option.
  • Only the statement P is correct.
  • Only the statement Q is correct.
  • Both the statement are correct.
  • Both the statements are incorrect.
When seen from below , the blades of a ceiling fan are seen to be revolving anticlockwise and their speed is decreasing. Select correct statement about the direction of its angular velocity and angular acceleration.
  • Angular velocity upwards , angular acceleration downwards.
  • Angular velocity downwards, angular acceleration upwards
  • Both, angular velocity and angular acceleration upwards.
  • Both ,angular velocity and angular acceleration , downwards
A bullet of mass $$m$$ fired at $$30^{o}$$ to the horizontal leaves the barrel of the gun with a velocity $$v$$. The bullet hits a soft target at a height $$h$$ above the ground while it is moving downward and emerges out with half the kinetic energy it had before hitting the target. Which of the following statements are correct in respect of bullet after it emerges out of the target?
  • The velocity of the bullet will be reduced to half its initial value.
  • The velocity of the bullet will be more than half of its earlier velocity.
  • The bullet will continue to move along the same parabolic path.
  • The bullet will move in a different parabolic path.
  • The bullet will fall vertically downward after hitting the target.
  • The internal energy of the particles of the target will increase.
A certain light truck can go around a curve having a radius of $$150 m$$ with a maximum speed of $$32.0 m/s$$. To have the same acceleration, at what maximum speed can it go around a curve having a radius of $$75.0 m$$?
  • $$64m/s$$
  • $$45m/s$$
  • $$32m/s$$
  • $$23m/s$$
  • $$16m/s$$
Figure shows two vectors $$\vec{D}_{1}$$ and $$\vec{D}_{2}$$. Which of the possibilities (a) through (d) is the vector $$\vec{D}_{2}-2\vec{D}_{1}$$, or (e) is it none of them?

1858040_2db251650b2d46b6839a12af9a1ed38c.png
A vertical triangular plate ABC is placed inside water with side BC parallel to water surface as shown. The force on one surface of plate by water is (density of water is $$\rho$$ and atmospheric pressure $$P_{0}$$) :-
1956139_f07f2df93b164fb5bcf709493b725931.png
  • $$(P_0 + h\rho g)\dfrac{1}{2}ab$$
  • $$(P_0 + h\rho g)\dfrac{1}{2}ab + \dfrac{a^2b}{3}\rho g$$
  • $$[P_0 + \rho g(h + a)]\dfrac{1}{2}ab$$
  • $$0$$
0:0:1


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