The time rate of increase in velocity is called
Acceleration is defined as the rate of change of velocity with respect to time. It measures how quickly an object changes its speed or direction.
Which of the following quantities is a vector?
Momentum is a vector quantity because it has both magnitude (mass times speed) and direction (same as velocity). Volume, energy, and speed are scalar quantities with magnitude only.
In an elastic collision, momentum is conserved as well as
In an elastic collision, both linear momentum and kinetic energy are conserved. This differs from inelastic collisions where only momentum is conserved, and kinetic energy is not.
The induced current in a coil always flows in a direction so as to oppose the change that causes it. This statement is known as
Lenz's law states that the direction of the induced current is such that it opposes the change in magnetic flux that produces it, based on the conservation of energy.
Which of the following instruments can be used to compare the magnitudes of charges on two given bodies?
A gold leaf electroscope can detect and compare charges by observing the deflection of the gold leaf, which is proportional to the charge magnitude when charges are shared sequentially.
A body of mass 2kg is released from a point 100m above the ground. Calculate its kinetic energy 80m from the point of release. [Take g = 10 ms⁻²]
Initial potential energy = mgh = 2 × 10 × 100 = 2000 J. After falling 80 m, potential energy left = 2 × 10 × 20 = 400 J. Thus, kinetic energy = 2000 - 400 = 1600 J.
Which of the following waves is not mechanical?
Radio waves are electromagnetic waves that do not require a medium for propagation, unlike mechanical waves such as sound, water, and waves in pipes, which need a material medium.
A loaded spring is set in simple harmonic motion. The force that tends to restore the load to its equilibrium position is
The restoring force in a spring undergoing simple harmonic motion is the elastic force provided by the spring, following Hooke's law: F = -kx, where x is displacement from equilibrium.
Which of the following cases cannot produce total internal reflection?
Total internal reflection occurs only when light travels from a denser to a rarer medium at an angle greater than the critical angle. From air (rarer) to water (denser), refraction occurs, not TIR.
The vacuum in a thermo flask reduces heat loss resulting from
A vacuum prevents conduction and convection as there is no medium for heat transfer by these modes. Radiation is minimized separately by reflective surfaces.
A car accelerates uniformly from rest to a speed of 20ms⁻¹ in 5s. Calculate the acceleration.
Acceleration a = (final velocity - initial velocity) / time = (20 - 0) / 5 = 4 m/s². Wait, that's B. Wait, 20/5=4, yes B. Wait, options A 2 B4. Correct B.
At steady velocity, the resultant force acting on it must be
According to Newton's first law, an object moving at constant velocity has zero net force acting on it, as there is no acceleration.
At zero acceleration, the resultant force acting on it must be
From Newton's second law, F = ma. If acceleration a = 0, then net force F = 0.
A freshly demagnetized bar magnet is placed in the East-West direction to ensure that
Placing a demagnetized bar magnet east-west aligns it perpendicular to the Earth's magnetic field (north-south), minimizing realignment of domains and helping retain demagnetization.
The current in a conductor varies with voltage according to Ohm's law. What is the resistance of a conductor if a current of 2A flows when 12V is applied?
Ohm's law: V = IR, so R = V/I = 12/2 = 6 Ω.
A small amount of air is introduced into the vacuum above the mercury in a mercury barometer tube. The mercury level goes down because the air molecules
Introducing air increases the pressure above the mercury column, which pushes down on the mercury, lowering the level in the tube as atmospheric pressure now supports less height.
Calculate the quantity of heat needed to change the temperature of 60g of ice at 0°C to 80°C [Specific latent heat of fusion of ice = 3.36 × 10⁵ J kg⁻¹; Specific heat capacity of water = 4.2 × 10³ J kg⁻¹ K⁻¹]
Heat to melt ice: Q1 = m L_f = 0.06 × 3.36 × 10^5 = 20,160 J. Heat to raise water temp: Q2 = m c ΔT = 0.06 × 4200 × 80 = 20,160 J. Total Q = 40,320 J = 40.32 kJ.
The wire of a platinum resistance thermometer has a resistance of 3.5 Ω at 0°C and 10.5 Ω at 100°C. Calculate the temperature of the wire when its resistance is 7.5 Ω
Using R_t = R_0 (1 + α t), α = (10.5 - 3.5)/(3.5 × 100) = 0.02 K⁻¹. Then t = (7.5 - 3.5)/(3.5 × 0.02) = 4 / 0.07 ≈ 57°C.
A transverse pulse of frequency 9 Hz travels 4.5 m in 0.6 s. Calculate the wavelength of the pulse.
Speed v = distance / time = 4.5 / 0.6 = 7.5 m/s. Wavelength λ = v / f = 7.5 / 9 ≈ 0.83 m.
In which of the following media is speed of sound the least?
Sound speed is lowest in air (≈ 340 m/s) compared to solids like brass (≈ 5000 m/s) and wood (≈ 4000 m/s), and liquid water (≈ 1500 m/s), due to air's lower density and elasticity.
Which of the following characteristics of waves can a ripple tank be used to demonstrate? I. Reflection II. Refraction III. Diffraction
A ripple tank demonstrates wave reflection (off barriers), refraction (through varying depth regions), and diffraction (around obstacles or through slits) effectively for water waves.
An 800 kg car moving at 80 km hr⁻¹ collides with a 1200 kg car moving at 40 km hr⁻¹ in the same direction. If the cars stick together, calculate their common velocity.
Conservation of momentum: (800 × 80 + 1200 × 40) = (800 + 1200) v → (64,000 + 48,000) = 2000 v → v = 112,000 / 2000 = 56 km hr⁻¹.
The mass of a load is doubled. The force acting on it is halved. The resulting acceleration of the load is
From F = ma, a = F/m. New a' = (F/2) / (2m) = F/(4m) = a/4, so quartered.
The maximum and minimum thermometer reads the
A maximum-minimum thermometer (Six's) records the highest temperature reached during the day and the lowest at night since the last reset, using alcohol and mercury indicators.
An a.c. generator can be converted to a d.c. generator by replacing the
Replacing slip rings (for AC output) with a commutator reverses the current direction every half rotation, producing pulsating DC output in a generator.
Which of the following statements is the correct reason for using soft iron in making the armature of an electric bell?
Soft iron has low retentivity, losing magnetism quickly when the current stops, allowing the armature to retract rapidly for continuous bell ringing.
Which of the following is a unit of energy?
The joule (J) is the SI unit of energy, defined as the work done by a force of 1 N over 1 m. Newton is force, watt is power, pascal is pressure.
A body falls freely from rest. What is its velocity after 3s? [g = 10 ms⁻²]
For free fall, v = u + gt = 0 + 10 × 3 = 30 m/s.
The period of a pendulum is 2s. What is its frequency?
Frequency f = 1 / period T = 1 / 2 = 0.5 Hz.
Which gas law relates pressure and volume at constant temperature?
Boyle's law states that for a fixed mass of gas at constant temperature, pressure P is inversely proportional to volume V: P ∝ 1/V.
What is the S.I. unit of electric charge?
The coulomb (C) is the SI unit of electric charge, equivalent to the charge transported by 1 ampere in 1 second.
A wave has a speed of 340 ms⁻¹ and a frequency of 850 Hz. What is its wavelength?
Wavelength λ = speed / frequency = 340 / 850 = 0.4 m.
Which of the following materials is a good conductor of electricity?
Copper is a metal with free electrons, allowing easy flow of electric current, unlike insulators like rubber, glass, and wood.
The efficiency of a machine is 80%. If the work output is 400 J, what is the work input?
Efficiency = (output / input) × 100%, so 80 = (400 / input) × 100 → input = 400 / 0.8 = 500 J.
A body of mass 5 kg is moving with a velocity of 3 ms⁻¹. What is its kinetic energy?
Kinetic energy KE = (1/2) m v² = 0.5 × 5 × 9 = 22.5 J.
What is the resultant force when two forces of 10 N and 20 N act at right angles to each other?
Resultant R = √(10² + 20²) = √(100 + 400) = √500 ≈ 22.4 N (Pythagoras theorem for perpendicular forces).
The specific heat capacity of a substance is 400 J kg⁻¹ K⁻¹. How much heat is required to raise the temperature of 2 kg by 10°C?
Heat Q = m c ΔT = 2 × 400 × 10 = 8000 J.
Which of the following is a scalar quantity?
Distance is a scalar quantity with magnitude only, while velocity, acceleration, and force are vectors with both magnitude and direction.
A current of 5 A flows through a resistor of 10 Ω. What is the power dissipated?
Power P = I² R = 5² × 10 = 25 × 10 = 250 W.
The angle of reflection is equal to the angle of incidence. This is a statement of
The law of reflection states that the angle of incidence equals the angle of reflection, and the incident ray, reflected ray, and normal lie in the same plane.
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