- 1 newton equals how many dyne?
- 10³ dyne
- 10⁵ dyne
- 10⁷ dyne
- 10⁹ dyne
Show answer
Answer: (B) 10⁵ dyne
1 N = 1 kg × 1 m/s² = 1000 g × 100 cm/s² = 10⁵ dyne. The newton is the SI unit and the dyne the CGS unit of force.
- Which of these is not an SI base unit?
- kelvin
- candela
- mole
- newton
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Answer: (D) newton
The newton is a derived unit (kg·m/s²). Kelvin, candela and mole are among the seven base units.
- A light year is a unit of —
- distance
- time
- intensity of light
- speed
Show answer
Answer: (A) distance
A light year is the distance light travels in one year — about 9.46 × 10¹⁵ m.
- Which pair has the same dimensions?
- work and power
- momentum and energy
- torque and work
- pressure and force
Show answer
Answer: (C) torque and work
Torque and work are both [ML²T⁻²]. Still, torque is a vector and work is a scalar.
- If the radius of a sphere is measured with a 2% error, the error in its volume is —
- 2%
- 4%
- 6%
- 8%
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Answer: (C) 6%
V ∝ r³, so the percentage error is 3 times: 3 × 2% = 6%.
- Which of these quantities is a vector?
- impulse
- work
- electric current
- pressure
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Answer: (A) impulse
Impulse = force × time, which is a vector. Electric current has a direction but is a scalar, because it does not follow vector addition.
- What does the slope of a velocity–time graph give?
- displacement
- distance
- speed
- acceleration
Show answer
Answer: (D) acceleration
The slope of a v-t graph gives acceleration and the area under it gives displacement.
- A person goes from A to B at 30 km/h and returns at 60 km/h. Average speed?
- 45 km/h
- 40 km/h
- 50 km/h
- 35 km/h
Show answer
Answer: (B) 40 km/h
For equal distances, average speed = 2 × 30 × 60 ÷ (30 + 60) = 3600 ÷ 90 = 40 km/h.
- At the highest point of a ball thrown up —
- velocity is zero, acceleration is g
- velocity and acceleration are both zero
- velocity is maximum, acceleration is zero
- both are maximum
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Answer: (A) velocity is zero, acceleration is g
At the highest point the ball stops for an instant (v = 0), but gravity still gives it acceleration g.
- The distances covered by a body falling from rest in the 1st, 2nd and 3rd seconds are in the ratio —
- 1 : 2 : 3
- 1 : 4 : 9
- 1 : 3 : 5
- 1 : 1 : 1
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Answer: (C) 1 : 3 : 5
The distance in the nth second is in proportion to (2n − 1) — the odd numbers 1 : 3 : 5. Total distances are 1 : 4 : 9.
- What happens to the horizontal velocity in projectile motion?
- It keeps increasing
- It stays constant
- It keeps decreasing
- It becomes zero
Show answer
Answer: (B) It stays constant
There is no force horizontally (without air), so the horizontal velocity u cosθ stays constant through the flight.
- Throwing at which two angles gives a projectile the same range?
- 30° and 45°
- 15° and 60°
- 40° and 60°
- 20° and 70°
Show answer
Answer: (D) 20° and 70°
The range is equal for complementary angles (θ and 90° − θ); 20° + 70° = 90°.
- The range of a ball thrown at 20 m/s at 45° (g = 10) is —
- 20 m
- 10 m
- 80 m
- 40 m
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Answer: (D) 40 m
R = u² sin2θ / g = 400 × sin90° / 10 = 40 m — the maximum range at this speed.
- What stays constant in uniform circular motion?
- velocity
- speed
- acceleration
- momentum
Show answer
Answer: (B) speed
Speed stays constant, but because the direction changes every moment, the directions of velocity, momentum and acceleration keep changing.
- Why is the outer edge of a road raised at a turn?
- for beauty
- to drain water
- to get the centripetal force
- to increase friction
Show answer
Answer: (C) to get the centripetal force
On a banked road the horizontal part of the normal reaction (N sinθ) gives the needed centripetal force, so the vehicle does not skid.
- Which force is called a pseudo force?
- centrifugal force
- centripetal force
- gravitational force
- frictional force
Show answer
Answer: (A) centrifugal force
Centrifugal force is not a real force — it is felt in a rotating frame and has no reaction.
- Passengers lean back when a bus starts suddenly. This is an example of —
- inertia of motion
- inertia of rest
- inertia of direction
- conservation of momentum
Show answer
Answer: (B) inertia of rest
The feet move with the bus while the upper body wants to stay at rest — this is inertia of rest.
- A fielder pulls his hands back while catching a ball so that —
- momentum increases
- friction increases
- the ball stops faster
- contact time increases and force decreases
Show answer
Answer: (D) contact time increases and force decreases
Impulse FΔt = Δp is fixed; increasing the time Δt reduces the force F on the hands.
- A rocket works on the principle of —
- conservation of momentum
- conservation of energy
- Bernoulli’s principle
- Pascal’s law
Show answer
Answer: (A) conservation of momentum
A rocket throws gas backward at high speed and, by conservation of momentum (Newton’s third law), moves forward — even in vacuum.
- A 20 N horizontal force acts on a 10 kg box (μₛ = 0.5, g = 10). How much is the friction?
- 50 N
- 0 N
- 20 N
- 100 N
Show answer
Answer: (C) 20 N
Limiting friction is 50 N, but the applied force is only 20 N; the box does not move and static friction is just as much (20 N).
- Why is pulling a lawn roller easier than pushing it?
- pushing makes friction zero
- pulling reduces the mass
- pulling reduces the normal reaction
- both are equal
Show answer
Answer: (C) pulling reduces the normal reaction
While pulling, the vertical part of the force acts upward, which reduces N and so the friction; pushing increases N.
- In the northern hemisphere, cyclones spin —
- anticlockwise
- clockwise
- in a straight line
- in no fixed direction
Show answer
Answer: (A) anticlockwise
The Coriolis force bends winds to the right in the northern hemisphere, so cyclones spin anticlockwise.
- A nutcracker is which class of lever?
- first
- not a lever
- third
- second
Show answer
Answer: (D) second
In a nutcracker the fulcrum is at one end, the effort at the other end and the load (the nut) in the middle — second class.
- Which of these levers always has a mechanical advantage less than 1?
- scissors
- tongs
- wheelbarrow
- see-saw
Show answer
Answer: (B) tongs
Tongs are a third-class lever (effort in the middle), whose effort arm is always shorter than the load arm.
- The work done against gravity by a porter walking on level road with a load on his head is —
- zero
- negative
- positive
- infinite
Show answer
Answer: (A) zero
Gravity is vertical and the displacement is horizontal — they are perpendicular, so W = Fs cos90° = 0.
- If the momentum of a body is doubled, its kinetic energy becomes —
- double
- half
- four times
- the same
Show answer
Answer: (C) four times
K = p²/2m; doubling p makes K four times.
- 1 kilowatt-hour (kWh) is a unit of —
- power
- energy
- force
- momentum
Show answer
Answer: (B) energy
kWh = 1000 W × 3600 s = 3.6 × 10⁶ J — a unit of energy, called a "unit" in the electricity bill.
- In which collision is kinetic energy not conserved?
- Elastic collision
- It is conserved in neither
- It is conserved in both
- Inelastic collision
Show answer
Answer: (D) Inelastic collision
In an inelastic collision momentum is saved, but some kinetic energy turns into heat or sound.
- Why are passengers not allowed to stand on the upper deck of a double-decker bus?
- weight increases
- the bus slows down
- friction falls
- the centre of gravity rises and the bus becomes unstable
Show answer
Answer: (D) the centre of gravity rises and the bus becomes unstable
More weight on top raises the centre of gravity, and the danger of the bus toppling at a turn increases.
- A ballet dancer spins faster when she pulls her arms in. Reason?
- conservation of energy
- conservation of angular momentum
- conservation of linear momentum
- less friction
Show answer
Answer: (B) conservation of angular momentum
Iω stays constant; pulling the arms in reduces I, so ω increases.
- A solid sphere, a disc and a ring of equal mass and radius roll down the same slope. Which reaches the bottom first?
- ring
- disc
- solid sphere
- all together
Show answer
Answer: (C) solid sphere
The solid sphere has the smallest k²/R² (2/5), so less of its energy goes into turning and it is fastest; the ring is last.
- By Kepler’s law, what is the relation between period and distance?
- T² ∝ a³
- T² ∝ a
- T ∝ a³
- T ∝ a
Show answer
Answer: (A) T² ∝ a³
Third law: the square of the period is proportional to the cube of the semi-major axis of the orbit.
- Where on Earth is the value of g greatest?
- at the equator
- at the poles
- at the centre of the Earth
- on the Tropic of Cancer
Show answer
Answer: (B) at the poles
At the poles the radius is smallest and rotation has no effect, so g is greatest (≈ 9.83 m/s²).
- What is the escape velocity from the Earth’s surface?
- 7.9 km/s
- 42 km/s
- 3.07 km/s
- 11.2 km/s
Show answer
Answer: (D) 11.2 km/s
vₑ = √(2gR) ≈ 11.2 km/s. 7.9 km/s is the orbital velocity near the surface and 3.07 km/s is the speed of a geostationary satellite.
- At what height is a geostationary satellite kept?
- About 36,000 km
- About 8,000 km
- About 800 km
- About 3,60,000 km
Show answer
Answer: (A) About 36,000 km
A geostationary satellite is kept about 35,786 km (≈ 36,000 km) above the equator; its period is 24 hours.
- In which condition do we feel weightlessness?
- Lift at rest
- Lift accelerating upward
- Lift’s cable snaps
- Lift moving down at uniform speed
Show answer
Answer: (C) Lift’s cable snaps
When the cable snaps, the lift and the person both fall freely; the floor gives no reaction, so the apparent weight is zero.
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