Mechanics CDS Questions

Mechanics MCQ Questions

7.
Which of the following is an example of a 'least count' error commonly associated with measurement instruments?
A.
The smallest value that can be measured accurately by a given instrument, such as 0.1 mm for a typical vernier caliper
B.
An error that occurs only in measurements of time, never in measurements of length
C.
An error that can be completely eliminated by repeating the measurement once
D.
An error caused entirely by the observer's personal bias
ANSWER :
A. The smallest value that can be measured accurately by a given instrument, such as 0.1 mm for a typical vernier caliper
8.
For an object undergoing uniformly accelerated motion in a straight line, which of the following equations correctly relates final velocity (v), initial velocity (u), acceleration (a), and time (t)?
A.
v² = u + 2as
B.
v = u - at²
C.
s = ut² + ½at
D.
v = u + at
ANSWER :
D. v = u + at
9.
The correct kinematic equation relating displacement (s), initial velocity (u), time (t), and acceleration (a), for uniformly accelerated straight-line motion, is:
A.
s = ut - ½at²
B.
s = u²t + at
C.
s = ut + ½at²
D.
s = ½ut + at²
ANSWER :
C. s = ut + ½at²
10.
The third equation of motion, which relates final velocity (v), initial velocity (u), acceleration (a), and displacement (s) without involving time directly, is given by:
A.
v² = u + 2a²s
B.
v = u² + 2as
C.
v² = u² + 2as
D.
v² = u² + as
ANSWER :
C. v² = u² + 2as
11.
If a ball is thrown vertically upward, the acceleration acting on it throughout its flight (ignoring air resistance), both during ascent and descent, is:
A.
Acceleration due to gravity, acting downward at all times, with magnitude g ≈ 9.8 m/s²
B.
An acceleration that constantly changes direction at the highest point only
C.
Acceleration due to gravity, but only during the descent phase
D.
Zero throughout the flight
ANSWER :
A. Acceleration due to gravity, acting downward at all times, with magnitude g ≈ 9.8 m/s²
12.
On a velocity-time (v-t) graph for an object undergoing uniformly accelerated motion, the area under the graph (between the curve and the time axis) represents:
A.
The acceleration of the object
B.
The mass of the object
C.
The instantaneous velocity at a single point in time
D.
The displacement of the object
ANSWER :
D. The displacement of the object