The measurement of the following physical quantity is the same:
A. Pressure and stress
B. Work and force
C. Velocity and acceleration
D. Length and mass Answer: A
If a car is traveling at 8 m/s and accelerates uniformly at 2 m/s², its velocity after 5 seconds will be:
A. 20 m/s
B. 18 m/s
C. 25 m/s
D. 24 m/s Answer: B
The maximum velocity acquired by a body falling through a viscous liquid is called:
A. Viscous velocity
B. Velocity gradient
C. Terminal velocity
D. Instantaneous velocity Answer: C
If a spring has a stiffness of 950 N/m, what amount of work will be done in extending the spring by 60 mm?
A. 1.71 × 10² J
B. 1.71 × 10⁴ J
C. 1.71 × 10⁰ J
D. 17.1 × 10² J Answer: C
For simple harmonic motion at the mean position, the angular momentum is:
A. Zero
B. Infinite
C. Maximum
D. Minimum Answer: A
The work-energy equation is given as:
A. me = ½ mv²
B. ft = mv – mu
C. Fs = ½ m(v² – u²)
D. ½ m(v² + u²) Answer: C
A body with a moment of inertia of 3.2 kgm² and an angular velocity of 2.5 rad/s. Find its kinetic energy:
A. 2 J
B. 0.5 J
C. 10.5 J
D. 10 J (Please provide the answer for question 7.)
The SI unit of angular momentum is:
A. kgm/s
B. kgm²s⁻²
C. kgm²s²
D. kgm²rad/s Answer: D
A 2 kg block is dropped from a height of 0.4 m onto a spring whose force constant, k, is 1600 N/m. Find the maximum distance the spring will be compressed:
A. 2 m
B. 0.2 m
C. 0.1 m
D. 1.0 m Answer: C
A metal ball of radius 2.0 mm falls under gravity in oil with a coefficient of viscosity of 2.5 Nsm⁻². If the density of the oil is 950 kg/m³, what is the terminal velocity attained by the metal?
A. 3.1 × 10² m/s
B. 2.5 × 10² m/s
C. 4.3 × 10² m/s
D. 1.2 × 10² m/s Answer: B
The pressure in a column of fluid does not depend on which of the following:
A. Density of fluid
B. Shape of the container
C. Weight of fluid
D. Gravity Answer: B
The work done when a force of (1+2j+k)(1 + 2j + k)(1+2j+k) N displaces a body from r1=(−i−2k)r_1 = (-i – 2k)r1=(−i−2k) m to r2=(j+k)r_2 = (j + k)r2=(j+k) is:
A. 12 J
B. 10 J
C. 2 J
D. 6 J Answer: D
Which of the following physical quantities is a scalar?
A. Electric field
B. Electric potential
C. Force
D. Velocity Answer: B
If force FFF, velocity VVV, and acceleration AAA are taken as fundamental units instead of mass, length, and time, express impulse in terms of FFF, VVV, and AAA:
A. FV2A2FV^2A^2FV2A2
B. FVAFVAFVA
C. FA/VFA/VFA/V
D. FV/AFV/AFV/A Answer: D
The dimension of the coefficient of viscosity is:
A. MLT−1MLT^{-1}MLT−1
B. M2L2T−1M^2L^2T^{-1}M2L2T−1
C. ML−1T−1ML^{-1}T^{-1}ML−1T−1
D. ML−2T2ML^{-2}T^2ML−2T2 Answer: C
A 6 kg object is subjected to three forces f1=20i+30jf_1 = 20i + 30jf1=20i+30j N, f2=8i−50jf_2 = 8i – 50jf2=8i−50j N, and f3=2i+2jf_3 = 2i + 2jf3=2i+2j N. What is the acceleration?
A. 5i+3j m/s25i + 3j \, m/s^25i+3jm/s2
B. 5i−3j m/s25i – 3j \, m/s^25i−3jm/s2
C. 3i+5j m/s23i + 5j \, m/s^23i+5jm/s2
D. 3i−5j m/s23i – 5j \, m/s^23i−5jm/s2 Answer: B
What is the average power required to lift a mass of 100 kg to a height of 50 m in 50 seconds?
A. 100 J
B. 980 Watts
C. 50 Watts
D. 5000 Watts Answer: B
If the force and the velocity on a system are each reduced simultaneously by half, the power of the system is:
A. Double
B. Constant
C. Reduced to a quarter
D. Reduced by half Answer: C
A body starts from rest and moves with uniform acceleration of 6 m/s². What distance does it cover in the third second?
A. 18 m
B. 15 m
C. 27 m
D. 30 m Answer: B
The density of 400 cm³ of palm oil was 0.9 g/cm³ before frying. If the density of the oil was 0.6 g/cm³ after, assuming no loss of oil due to spilling, its new volume will be:
A. 360 cm³
B. 600 cm³
C. 240 cm³
D. 450 cm³ Answer: B
If the moment of inertia of a sphere about its center is I=25mα2I = \frac{2}{5} m\alpha^2I=52mα2, calculate the radius of gyration in terms of α\alphaα:
A. 2.5α2.5\alpha2.5α
B. 0.63α0.63\alpha0.63α
C. 0.5α0.5\alpha0.5α
D. 3.6α3.6\alpha3.6α Answer: B
What happens to the kinetic energy of a moving object if the net work done is positive?
A. It increases
B. It decreases
C. It remains the same
D. It is zero Answer: A
The time taken by a train to slow down from 80 km/hr to 20 km/hr with a uniform deceleration of 2 m/s² is:
A. 9 s
B. 10 s
C. 8.3 s
D. 8 s Answer: C
A container with a mass of 5 kg is lifted to a height of 8 m. How much work is done by the external force?
A. 400 J
B. -400 J
C. 0 J
D. 50 J Answer: A
The physical quantity whose dimensional formula is M1L0T−2M^1L^0T^{-2}M1L0T−2 is:
A. Bulk modulus
B. Electric conductance
C. Surface tension
D. Force Answer: C
The equation of continuity for the streamline flow of fluid can be expressed as:
A. A1V1=A2V2A_1V_1 = A_2V_2A1V1=A2V2
B. A12V12=A22V22A_1^2V_1^2 = A_2^2V_2^2A12V12=A22V22
C. A12V1=A22V2A_1^2V_1 = A_2^2V_2A12V1=A22V2
D. A2V2=A1V1A^2V^2 = A_1V_1A2V2=A1V1 Answer: A
The work done by gravitational force when an object of weight 50 kg on a floor moves through a distance of 3 m is:
A. 500 J
B. 150 J
C. 0 J
D. 1500 J Answer: C
The bulk modulus of elasticity is given by k=−VΔpΔvk = -\frac{V\Delta p}{\Delta v}k=−ΔvVΔp; the minus in the expression indicates:
A. Increase in pressure
B. Decrease in pressure
C. Increase in volume
D. Decrease in volume Answer: D
The load that stretches a wire is called:
A. Tensile load
B. Tensile force
C. Tensile stress
D. Tensile strain Answer: B
The moment of force is known as:
A. Torque
B. Couple
C. Inertia
D. Momentum Answer: A
A particle moving in a circular path with a constant speed is said to have:
A. Zero acceleration
B. Uniform acceleration
C. Centripetal acceleration
D. Angular momentum Answer: C
The unit of work done in joules is equivalent to:
A. kg·m/s
B. kg·m²/s²
C. N·m
D. All of the above Answer: D
A projectile is launched at an angle of 30° to the horizontal. What is the shape of its trajectory?
A. Circle
B. Parabola
C. Ellipse
D. Straight line Answer: B
What is the potential energy of a 2 kg mass at a height of 10 m? (Use g = 9.8 m/s²)
A. 98 J
B. 196 J
C. 20 J
D. 80 J Answer: B
In a vacuum, all objects fall with the same acceleration due to:
A. Gravity
B. Mass
C. Air resistance
D. Weight Answer: A
The force that opposes the motion of a body through a fluid is known as:
A. Friction
B. Drag
C. Lift
D. Thrust Answer: B
The Law of Conservation of Energy states that:
A. Energy can be created or destroyed
B. Energy cannot be created or destroyed
C. Energy is always lost as heat
D. None of the above Answer: B
Which of the following quantities is conserved in an elastic collision?
A. Kinetic energy
B. Momentum
C. Both A and B
D. None of the above Answer: C
The phenomenon of light bending when it passes from one medium to another is called:
A. Reflection
B. Refraction
C. Diffraction
D. Dispersion Answer: B
The first law of thermodynamics is a statement of:
A. Conservation of mass
B. Conservation of energy
C. Conservation of momentum
D. None of the above Answer: B
A wave that requires a medium to travel is called a:
A. Electromagnetic wave
B. Mechanical wave
C. Longitudinal wave
D. Transverse wave Answer: B
The speed of sound is highest in:
A. Solids
B. Liquids
C. Gases
D. Vacuum Answer: A
The unit of frequency is:
A. Hertz (Hz)
B. Joule (J)
C. Newton (N)
D. Watt (W) Answer: A
A current-carrying conductor in a magnetic field experiences:
A. No force
B. A magnetic force
C. An electric force
D. Both A and C Answer: B
The energy stored in a stretched or compressed spring is known as:
A. Kinetic energy
B. Elastic potential energy
C. Gravitational potential energy
D. Thermal energy Answer: B
The center of mass of a system of particles is defined as:
A. The point where all mass is concentrated
B. The average position of all particles
C. The point of balance
D. All of the above Answer: D
In a lever, the distance from the fulcrum to the point where the force is applied is called:
A. Effort arm
B. Load arm
C. Moment arm
D. Distance arm Answer: A
The work done by a force is maximum when:
A. The angle between force and displacement is 0°
B. The angle between force and displacement is 90°
C. The angle between force and displacement is 180°
D. There is no displacement Answer: A
The total mechanical energy of a system is the sum of: