Categorized as: class-11-physics-unit-4

A man can swim with a speed of 4.0 km/h in still water. How long does he take to cross a river 1.0 km wide if the river flows steadily at 3.0 km/h and he makes his strokes normal to the river current? How far down the river does he go when he reaches the other bank? | Learn NCERT solution | Education portal Class 11 Physics | Study online Unit-4 Motion In A Plane

Q.13:- A man can swim with a speed of 4.0 km/h in still water. How long does he take to cross a river 1.0 km wide if the river flows steadily…

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Rain is falling vertically with a speed of 30 m s-1. A woman rides a bicycle with a speed of 10 m s-1 in the north to south direction. What is the direction in which she should hold her umbrella? | Learn NCERT solution | Education portal Class 11 Physics | Study online Unit-4 Motion In A Plane

Q.12:- Rain is falling vertically with a speed of 30 m s-1. A woman rides a bicycle with a speed of 10 m s-1 in the north to south direction. What…

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A passenger arriving in a new town wishes to go from the station to a hotel located 10 km away on a straight road from the station. A dishonest cabman takes him along a circuitous path 23 km long and reaches the hotel in 28 min. What is (a) the average speed of the taxi, (b) the magnitude of average velocity? Are the two equal? | Learn NCERT solution | Education portal Class 11 Physics | Study online Unit-4 Motion In A Plane

Q.11:- A passenger arriving in a new town wishes to go from the station to a hotel located 10 km away on a straight road from the station. A dishonest cabman…

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On an open ground, a motorist follows a track that turns to his left by an angle of 60° 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. | Learn NCERT solution | Education portal Class 11 Physics | Study online Unit-4 Motion In A Plane

Q.10:- On an open ground, a motorist follows a track that turns to his left by an angle of 60° after every 500 m. Starting from a given turn, specify the…

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A cyclist starts from the centre Oof a circular park of radius 1 km, reaches the edge Pof the park, then cycles along the circumference, and returns to the centre along QO as shown in Fig. 4.21. If the round trip takes 10 min, what is the (a) net displacement, (b) average velocity, and (c) average speed of the cyclist? | Learn NCERT solution | Education portal Class 11 Physics | Study online Unit-4 Motion In A Plane

Q.9:- A cyclist starts from the centre Oof a circular park of radius 1 km, reaches the edge Pof the park, then cycles along the circumference, and returns to the centre…

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Three girls skating on a circular ice ground of radius 200 m start from a point Pon the edge of the ground and reach a point Qdiametrically opposite to Pfollowing different paths as shown in Fig. 4.20. What is the magnitude of the displacement vector for each? For which girl is this equal to the actual length of the path skated? | Learn NCERT solution | Education portal Class 11 Physics | Study online Unit-4 Motion In A Plane

Q.8:- Three girls skating on a circular ice ground of radius 200 m start from a point Pon the edge of the ground and reach a point Qdiametrically opposite to Pfollowing…

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Given vectors a + b + c + d = 0, which of the following statements are correct: (a) Vectors a, b, c, and d must each be a null vector, (b) The magnitude of vectors (a + c) equals the magnitude of vectors(b+ d), (c) The magnitude of a can never be greater than the sum of the magnitudes of b, c, and d, (d) Vectors b + c must lie in the plane of a and d if a and d are not collinear, and in the line of a and d, if they are collinear? | Learn NCERT solution | Education portal Class 11 Physics | Study online Unit-4 Motion In A Plane

Q.7:- Given vectors a + b + c + d = 0, which of the following statements are correct: (a) Vectors a, b, c, and d must each be a null…

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Establish the following vector inequalities geometrically or otherwise: (a) |a + b| ≤ |a| + |b| (b) |a + b| ≥ ||a| − |b|| (c) |a − b| ≤ |a| + |b| (d) |a − b| ≥ ||a| − |b|| When does the equality sign above apply? | Learn NCERT solution | Education portal Class 11 Physics | Study online Unit-4 Motion In A Plane

Q.6:- Establish the following vector inequalities geometrically or otherwise: (a) |a + b| ≤ |a| + |b| (b) |a + b| ≥ ||a| − |b|| (c) |a − b| ≤ |a|…

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Read each statement below carefully and state with reasons, if it is true or false: (a) The magnitude of a vector is always a scalar, (b) each component of a vector is always a scalar, (c) the total path length is always equal to the magnitude of the displacement vector of a particle. (d) the average speed of a particle (defined as total path length divided by the time taken to cover the path) is either greater or equal to the magnitude of average velocity of the particle over the same interval of time, (e) Three vectors not lying in a plane can never add up to give a null vector. | Learn NCERT solution | Education portal Class 11 Physics | Study online Unit-4 Motion In A Plane

Q.5:- Read each statement below carefully and state with reasons, if it is true or false: (a) The magnitude of a vector is always a scalar, (b) each component of a…

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State with reasons, whether the following algebraic operations with scalar and vector physical quantities are meaningful: (a) adding any two scalars, (b) adding a scalar to a vector of the same dimensions, (c) multiplying any vector by any scalar, (d) multiplying any two scalars, (e) adding any two vectors, (f) adding acomponent of a vector to the same vector. | Learn NCERT solution | Education portal Class 11 Physics | Study online Unit-4 Motion In A Plane

Q.4:- State with reasons, whether the following algebraic operations with scalar and vector physical quantities are meaningful: (a) adding any two scalars, (b) adding a scalar to a vector of the…

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