set 1 MCQ Questions & Answers Detailed Explanation
MOST IMPORTANT general science mcq - 5 EXERCISES
The following question based on mechanics (mass, force, acceleration, work, energy, momentum, velocity) topic of general science mcq
(a) It varies continuously
(b) It is non-zero
(c) It is zero
(d) None of the above
The correct answers to the above question in:
Answer: (c)
Practice mechanics (mass, force, acceleration, work, energy, momentum, velocity) (set 1) Online Quiz
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Question : 1
Consider the following statements: A simple pendulum is set into oscillation. Then:
- the acceleration is zero when the bob passes through the mean position.
- in each cycle, the bob attains a given velocity twice.
- both acceleration and velocity of the bob are zero when it reaches its extreme position during the oscillation.
- the amplitude of oscillation of the simple pendulum decreases with time.
a) 1, 2 and 4
b) 1 and 2
c) 3 and 4
d) 2, 3 and 4
Answer »Answer: (a)
The bob of a simple pendulum is attached to a string which pulls the bob along its length.
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Here B and C are extreme positions whereas A is the mean position. The speed of the bob increases as it approaches the mean position A and continues to move till it reaches C.
At C the speed becomes zero. Due to the unbalanced force, the bob moves towards the mean position. The speed of the bob is maximum at the mean position and is zero at the extreme positions.
Thus, it is clear that in each cycle bob velocity increases from zero to maximum. This means that it attains a given velocity twice.
Suppose the bob of the pendulum reaches up to B while oscillating, then AB is the amplitude. For the next oscillation, the bob fails to reach B but it will reverse the direction from point B′ instead of B. The amplitude of oscillation in the second case is AB′ which is less than AB.
That means a retarding force is acting on the bob thereby reducing the amplitude of oscillation. This retarding force is nothing but air resistance or air friction. At an extreme position, acceleration is maximum.
So statement 3 is not correct.
Question : 2
The escape velocity of a body depends upon mass as
a) m2
b) m1
c) m0
d) m3
Answer »Answer: (c)
$V_{esc}= √{2gR}$, where R is radius of the planet.
Hence escape velocity is independent of m.
Question : 3
A person swims in a river aiming to reach exactly on the opposite point on the bank of a river. His speed of swimming is 0.5 m/s at an angle of 120º with the direction of flow of water. The speed of water is
a) 0.25 m/s
b) 0.5 m/s
c) 1.0 m/s
d) 0.43 m/s
Answer »Answer: (a)
Here v = 0.5 m/sec. u = ?So, sinϴ = $u/v ⇒ u/0.5 =1/2 (or) u = 0.25 ms^{-1}$
Question : 4
Two teams are pulling a rope with equal and opposite forces each of 5 kN in a tug of war so that a condition of equilibrium exists. What will be the tensile force in the rope?
a) 5 kN
b) 2.5 kN
c) Zero
d) 10 kN
Answer »Answer: (a)
Question : 5
A person sitting on a chair in a satellite feels weightless because
a) the normal force is zero
b) the normal force by the chair on the person balances the earth’s attraction
c) the earth does not attract the objects in a satellite
d) the person in satellite is not accelerated
Answer »Answer: (a)
The weightlessness inside a satellite is due to the fact that the surface does not exert any force on the body and hence its apparent weight is zero.
Question : 6
Statement A :
While drawing a line on a paper, friction force acts on paper in the same direction along which line is drawn on the paper.
Statement B :
Friction always opposes motion.
a) Both statements are correct.
b) Statement B is correct.
c) Statement A is correct.
d) Both statements are incorrect.
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