Easy & Concise NCERT Physics Ch-1,2,3 : All Exercises Solved

Use the unitary method to convert the volume of a 1 cm cube to meter cube, yielding 0.00001 meter cube with one significant figure.

Calculate the surface area of a cylinder with radius 2 cm and height 10 cm using 2 pi r h, convert to mm^2, obtaining 12560 mm^2 with four significant figures.

Practice filling in the blanks with suitable unit conversions, transforming kg m^2 s^-2 to g cm^2 s^-2.

Convert meters to light years using the unitary method and the speed of light, showing one meter equals 1.0569e-16 light years based on 31,536,000 seconds per year.

Explore solved NCERT physics exercises for chapters 1–3, focusing on question 1.6, and reinforce understanding with concise, exam-ready explanations.

Explore solved exercises from NCERT physics chapters 1-3, focusing on q1.8(b). Access concise, accessible practice to reinforce key topics and improve problem-solving confidence.

Compute area on slide and area on screen, derive area magnification from their ratio, and obtain linear magnification as the square root in q1.9.

Assess the number of significant figures in six items, and apply rules: ignore leading zeros, count trailing zeros in decimals, and count coefficient digits in scientific notation.

Review solved exercises for NCERT physics chapters 1–3 through Q1.11, in this easy and concise course designed to reinforce understanding.

Calculate total mass as 2.32 kg using the least decimal places rule, and determine the mass difference as 0.00002 kg with five decimals.

Derive the relativistic mass formula m = m0 / sqrt(1 - v^2/c^2) by dimensional analysis, confirming kilogram units and the dimensionless v^2/c^2.

Explain why nearby objects move opposite to a fast train while distant objects seem stationary due to parallax, and show the Sun's density is close to that of liquids.

Determine when a body is a point object by size relative to its path, using railway carriage, monkey on a cyclist, spinning cricket ball, and tumbling beaker as examples.

Analyze the motion of a and b using an x-t graph to compare start times, speeds, arrivals, and overtakes.

Use time equals distance over speed on the xt graph to model a 2.5 km office trip at 5 km/h, with return at 25 km/h.

Trace the x-t graph to follow alternating forward and backward steps in 8-second intervals, revealing the pitfall region and ending with a fall into the pit at 37 seconds.

Compute the uniform retardation and stopping time of a car decelerating from 126 km/h to rest over 200 m using v^2 − u^2 = 2 a s.

Explore the ball's upward and downward motion under 10 m/s^2 downward acceleration, with peak velocity zero, height 43.22 m, and total flight time 5.88 s.

Analyze statements on one-dimensional motion: zero speed may have non-zero acceleration; zero speed equals zero velocity; constant speed implies zero acceleration; and positive acceleration means speeding up under gravity.

Examine a ball dropped from 90 meters, losing 10% speed at each floor collision, and plot speed-time graph showing 42 m/s at the first impact and 37.8 m/s after bounce.

Graph A’s xd loop and Graph B’s vt motion represent one-dimensional motion, as does Graph C’s speed-time waveform; Graph D fails, since total path length never returns to zero.

Explain a one-dimensional xd plot where the particle rests for t<0 and accelerates after t=0, like a ball falling under gravity, and state the bullet’s impact speed as 105 m/s.

Analyze signs of position, velocity, and acceleration in one-dimensional simple harmonic motion using an x-t plot, noting negative x yields negative velocity and positive acceleration.

The XT plot shows average speed is greatest in interval 3 and least in interval 2; the slope is negative for interval 3 and positive for interval 2.

Analyze the speed-time graph to identify interval 2 as the greatest average acceleration and interval D as the greatest average speed. Confirm that the velocity remains positive in all intervals.

Identify the two scalar quantities in the list, noting scalars have only magnitude. Work and current are scalars, while the others are vectors.

Identify impulse as the only vector quantity in the list, and explain that it is a change in momentum, a vector.

Identify which scalar and vector operations are meaningful: scalar addition, scalar–vector incompatibility, vector scaling, scalar–scalar multiplication, adding two vectors, and adding a vector component to the same vector.

Evaluate true or false statements about vectors, including magnitude as a scalar, vector components, displacement versus total path length, average speed versus average velocity, and coplanar vectors.

Demonstrate |a+b| ≤ |a|+|b| and |a+b| ≥ ||a|-|b|| for vectors a and b; equality occurs when the vectors align or oppose.

Show that |a−b|^2 = |a|^2 + |b|^2 − 2|a||b|, revealing that |a−b| ≥ ||a| − |b|| with equality when a and b point in the same direction.

Relate A+B+C+D=0 to A,B,C,D being vectors or quadrilateral sides; |A+C|=|B+D|, |A|≤|B|+|C|+|D|, and B+C lies in the plane of A and D.

Analyze net displacement, average velocity, and average speed for a cyclist who travels from the circle center to the edge, along a quadrant, and back in 10 minutes.

Analyze vertical motion under gravity: determine downward acceleration during upward motion, zero velocity at the peak, and acceleration at the highest point; apply sign conventions for position, velocity, and acceleration.

Compute the maximum height of a ball launched at 29.4 m/s under gravity 9.8 m/s^2 to 44.1 m, and its 3-second ascent and 6-second round trip with air resistance neglected.

Compare average speed and average velocity for a 23 km route traveled in 28 minutes. Apply projectile motion formulas to determine height and range for a 40 m/s throw.

Explore statements about circular motion: net acceleration is not always toward the center due to tangential components; velocity is tangent, and average acceleration in uniform circular motion is zero.

From r = 3T i − 2T^2 j + 4k, obtain v = 3 − 4T and a = −4; at T = 2 s, v = −5 m/s.

Particle starts at origin with velocity 10 j and acceleration 8 i + 2 j in xy plane; at t=2 s, x=16m, y=24m, speed 21.4m/s.

Compute magnitudes and components of A=2i+3j along i+j and i−j using dot product; |i+j|=|i−j|=√2 and |A|=√13, giving components 5/√2 and −1/√2 along those directions.

Analyze Q3.20 on which directions are true for any arbitrary motion in space, clarifying the directional concepts addressed by the question.

Calculate the aircraft speed from its height and the angle subtended at a ground observation point, using speed = (3,400 tan 30) / 10, which yields 196.2 m/s.