NCERT solution Class 11 motion in a plane

NCERT Solutions

Class 11 Physics

Motion in a Plane

NCERT Questions

Q. 3.1
Q. 3.2
Q. 3.3
Q. 3.4
Q. 3.5
Q. 3.6
Q. 3.7
Q. 3.8
Q. 3.9
Q. 3.10
Q. 3.11
Q. 3.12
Q. 3.13
Q. 3.14
Q. 3.15
Q. 3.16
Q. 3.17
Q. 3.18
Q. 3.19
Q. 3.20
Q. 3.21
Q. 3.22

Q. 3.10

On an open ground, a motorist follows a track that turns to his left by an angle of 600 after every 500 m. starting from a given turn; specify the displacement of the motorist at the third, sixth and eighth turn. Compare the magnitude of the displacement with the total path length covered by the motorist in each case.

The path followed by the motorist is a regular hexagon with side 500 m, as shown in the given figure:

Let the motorist start from point P.

The motorist takes the third turn at S. The displacement vector at S = PS

Therefore, Magnitude of displacement = PS = (PV + VS) = (500 + 500) = 1000 m

Total path length = (PQ + QR + RS) = (500 + 500 +500) = 1500 m

The motorist takes the sixth turn at point P, which is the starting point.

Therefore displacement vector is null vector.

Therefore, Magnitude of displacement = 500 + 500 = 1000m

Total path length = (PQ + QR + RS + ST + TU + UP)

= (500 + 500 + 500 + 500 + 500 + 500) = 3000 m

The motorist takes the eight turn at point R.

Displacement vector = RS which is represented by the diagonal of the ||gm PQRV

Magnitude of displacement = PR

= √ ((PQ)² + (QR)²+2 (PQ) (QR) cos60⁰)

=√ (500)² + (500)² + (2 x 500 x 500 x cos 60⁰)

=√ (250000) + (250000) + (500000 x (1/2))

=866.03m

β = tan^-1(500 sin 60⁰)/ (500 + 500 cos60⁰)

β =30⁰

Therefore, the magnitude of displacement is 866.03 m at an angle of 30° with PR.

Total path length = (Circumference of the hexagon + PQ + QR)

= (6 × 500 + 500 + 500) = 4000 m

Comparison of magnitude of displacement with total path length:-

3^rd turn = (Displacement)/ (Path length) = (1000m)/ (1500m) =0.666.
6^th turn = (0m)/(3000m) = 0
8^th turn = (866.03)/(4000m) 0.216

Video solution:

Motion in a Plane Class 11 Physics NCERT Chapter 3 NCERT Solutions

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NCERT solutions of Motion in a Plane Class 11 Physics - all questions of all exercises are solved. Q. No. 1, 2, 3, and so on. Complete explanation and detailed solution makes them the best videos for Class 11 Physics Motion in a Plane NCERT solutions.