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Study Material for Class 11 Physics Chapter 2 Units and Measurement
Class 11 Physics students should refer to the following Pdf for Chapter 2 Units and Measurement in Class 11. These notes and test paper with questions and answers for Class 11 Physics will be very useful for exams and help you to score good marks
Class 11 Physics Chapter 2 Units and Measurement
Ex.1. If A = 4i – 3j and B = 6i + 8j, find the scalar magnitude and direction of A, B, A + B, A – B and B – A with respect to positive direction of x-axis.
Ex.2. If vectors A = 3i + j – 2k, B = –i + 3j + 4k and C = 4i –2j –6k can be represented by the sides of a triangle, find the two vectors which will give the third vector as a resultant.
Sol.: If any one of these two vectors are added, their resultant should be equal to the third vector as their resultant.
A + B = (3i + j – 2k) + (–i + 3j + 4k) = 2i + 4j + 2k ≠ C
A + C = (3i + j – 2k) + (4i –2j –6k) = (7i – j – 8k) ≠ B
B + C = (–i + 3j + 4k) + (4i –2j –6k) = (3i + j –2k) = A
∴ vectors B and C combine to give resultant A
Ex.3 Find the scalar product and angle between vectors A = 3i – 5j and B = 6i + 2j
Ex.4 A partical moves from the position 2i + 3j – 5k to position 12i + 15j + 8k in metre units and a uniform force 5i + 2j + 3k , Newton acts on it. Calculate the work done by this force.
Sol.: If F is force applied to displace a particle through distance S, work W is given by
W = F . S
S = r2 – r1 = (12i + 15j + 8k) – (2i + 3j – 5k) = 10i + 12j + 13k
W = (5i + 2j + 3k) . (10i + 12j + 13k) = 50 + 24 + 39 = 113 J
Ex.5 If a force F = 4i – 10j Newton is applied to the rim of a disc at a distance or r = –5i – 4j from its axis of rotation, find the torque applied.
Ex.6: A plane is flying with speed 700 km/h in north-eastern direction and wind is blowing at 100 km/h north to south. Find the resultant displacement of plane in 2hours.
Sol.: Let v1 be velocity of plane in north eastern direction & v2 be velocity of wind from north to south and
i and j be unit vectors in east and north direction.
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CBSE Class 11 Physics Chapter 2 Units and Measurement Study Material
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Study Material for Physics CBSE Class 11 Chapter 2 Units and Measurement
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Chapter 2 Units and Measurement Study Material Physics CBSE Class 11
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Chapter 2 Units and Measurement CBSE Class 11 Study Material Physics
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CBSE Study Material Physics Class 11 Chapter 2 Units and Measurement
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