Free Force and Motion MCQs with Answers

• A. 15 m
• B. 20 m
• C. 5 m
• D. 25 m

Explanation: For a body starting from rest, the distance covered in the nth second is s_n = 1/2 g(2n - 1).

• A. 1/6th
• B. 1/4th
• C. 1/8th
• D. None of these

Explanation: The Moon's gravitational acceleration is about 1.62 m/s², while Earth's is about 9.8 m/s².

• A. acceleration
• B. distance
• C. force
• D. momentum

Explanation: The slope of a velocity-time graph is change in velocity divided by change in time, Δv/Δt, which is acceleration measured in m/s^2.

• A. acceleration is const
• B. acceleration is variable
• C. acceleration is zero
• D. velocity is zero

Explanation: A velocity-time graph parallel to the time axis has zero slope, so Δv/Δt = 0 m/s^2 and the acceleration is zero.

• A. 4.9 m
• B. 19.6 m
• C. 39.2 m
• D. 44.1 m

Explanation: For a freely falling body starting from rest, distance is s = 1/2 gt². Using g = 9.8 m/s² and t = 2 s, s = 1/2 x 9.8 m/s² x (2 s)² = 19.6…

• A. straight inclined line.
• B. parabola
• C. inclined curve
• D. declined curve

Explanation: For constant acceleration, velocity changes according to v = u + at. This is a linear equation in time, so the velocity-time graph is a…

• A. momentum changes but K.E remain conserve
• B. K.E changes but momentum remain conserve
• C. both momentum and K.E changes
• D. both momentum and K.E remain conserve

Explanation: In an isolated system, internal forces during an inelastic collision cancel in pairs, so total momentum remains conserved, while some…

• A. LT
• B. LMT
• C. LMT^-1
• D. LT^-1

Explanation: Velocity is displacement divided by time, so its dimensions are length/time, written LT^-1.

• A. Displacement
• B. Force
• C. Acceleration
• D. Momentum

Explanation: The area under a velocity-time graph is velocity multiplied by time, giving displacement, with unit metre (m).

• A. Equal to one
• B. Less than one
• C. Greater than one
• D. All are possible

Explanation: The magnitude of displacement can never exceed the distance travelled, so displacement/distance is always at most 1.

• A. Zero
• B. Positive
• C. Negative
• D. None

Explanation: Speed is the magnitude of velocity, so it can be zero or positive but cannot be negative; its SI unit is m/s.

• A. 45 m/s
• B. 90 m/s
• C. 100 m/s
• D. 120 m/s

Explanation: Convert miles per hour using 1 mile = 1609.344 m and 1 hour = 3600 s: 100 mph = 100 × 1609.344 m / 3600 s = 44.704 m/s, which rounds to 45…

• A. 0.001mm
• B. 0.01mm
• C. 0.1mm
• D. 0.0001mm

Explanation: For the usual vernier caliper, 10 vernier divisions equal 9 main-scale divisions, so with 1 main-scale division = 1 mm, the least count is…

• A. Time
• B. Density
• C. Volume
• D. Area

Explanation: Time is a fundamental SI quantity, so it is not formed from combinations of other base quantities.

• A. πR
• B. 2πR
• C. 0
• D. 4πR

Explanation: After two complete revolutions, the body returns to its starting point, so its displacement is 0 m.

• A. πR
• B. 2π R
• C. 0
• D. 4πR

Explanation: After two complete revolutions, the body returns to its starting point, so its displacement is 0 m.

• A. Elliptical path
• B. Circular path
• C. Parabolic path
• D. Rectilinear path

Explanation: Constant velocity requires both constant speed and constant direction. A rectilinear path keeps the direction unchanged, whereas circular…

• A. 1mm
• B. 10km
• C. 1000um
• D. Both A and B

Explanation: The prefix micro means 10^-6 and its proper SI symbol is μ, so the standard representation is 1000 μm, not 1000 um.

• A. 76.8
• B. 77
• C. 76.9
• D. None of these

Explanation: To round 76.85 to two significant figures, retain 7 and 6 and inspect the next digit, 8.

• A. Highly precise instrument
• B. Conduct at room temperature
• C. Count number of vibration
• D. Both a and C

Explanation: If the time for one vibration is uncertain by an amount Δt, timing many vibrations gives a total time of NΔt, while the fractional…