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A particle has a displacement of 12 m towards east and 5 m towards north then 6 m vertically upward. The sum of this displacement is

1) 12 m 2) 10.04 m 3) 14.31 m 4) None of these Answer: 3) 14.31 m Solution: Given A particle... View Article

Forces F₁ and F₂ act on a point mass in two mutually perpendicular directions. The resultant force on the point mass will be

1) F1 + F2 2) F1 – F2 3) \(\begin{array}{l}\sqrt{F_{1}^{2}+F_{2}^{2}}\end{array} \) 4) F12 + F22 Answer: 3) \(\begin{array}{l}\sqrt{F_{1}^{2}+F_{2}^{2}}\end{array} \) Solution: The resultant is... View Article

Two equal forces are acting at a point with an angle of 60° between them. If the resultant force is equal to 40√3 N, the magnitude of each force is

1) 40 N 2) 20 N 3) 80 N 4) 30 N Answer: 1) 40 N Solution: Given The forces are... View Article

Two force of 12N and 8N act upon a body. The resultant force on the body has maximum value of

1) 4 N 2) 0 N 3) 20 N 4) 8 N Answer: 3) 20 N Solution: When 12N and 8N forces... View Article

Two forces, each of magnitude F have a resultant of the same magnitude F. The angle between the two forces is

1) 45° 2) 120° 3) 150° 4) 60° Answer: 2) 120° Solution: R = √{A² + B² + 2A.Bcos} According... View Article

Angular momentum is

1) A scalar 2) A polar vector 3) An axial vector 4) None of these Answer: 3) An axial vector Solution:... View Article

A hall has the dimensions 10 m × 12 m × 14 m. A fly starting at one corner ends up at a diagonally opposite corner. What is the magnitude of its displacement?

1) 17 m 2) 26 m 3) 36 m 4) 21 m Answer: 4) 21 m Solution: The dimension of the... View Article

A force of 5 N acts on a particle along a direction making an angle of 60° with vertical. Its vertical component will be

1) 10 N 2) 3 N 3) 4 N 4) 2.5 N Answer: 4) 2.5 N Solution: The component of force... View Article

Dot product of two mutual perpendicular vector is

1) 0 2) 1 3) ∞ 4) None of these Answer: 1) 0 Solution: The angle between the two vectors is... View Article

A scooter going due East at 10 ms^–1 turns right through an angle of 90⁰. If the speed of the scooter remains unchanged in taking turn, the change is the velocity of the scooter is

1) 20.0 ms–1 South Eastern direction 2) Zero 3) 10.0 ms–1 in Southern direction 4) 14.14 ms–1 in South-West direction... View Article

The resultant of two vectors A and B is perpendicular to vector A and its magnitude is equal to half the magnitude of vector B. The angle between A and B is

1) 120° 2) 150° 3) 135° 4) None of these Answer: 2) 150° Solution: The magnitude of resultant of A and... View Article

Which pair of the following forces will never give a resultant force of 2 N?

1) 2 N and 2 N 2) 1 N and 1 N 3) 1 N and 3 N 4) 1... View Article

The sum of two forces acting at a point is 16 N. If the resultant force is 8 N and its direction is perpendicular forces are to smaller force, then the forces are

1) 6N and 10N 2) 8N and 8N 3) 4N and 12N 4) 2N and l4N Answer: 1) 6N and 10N... View Article

If the sum of two unit vectors is a unit vector, then the magnitude of the difference is

1) √2 2) √3 3) 1/√2 4) √5 Answer: 2) √3 Solution: Let \(\begin{array}{l}\hat{n_{1}}\end{array} \) and \(\begin{array}{l}\hat{n_{2}}\end{array} \) be the two unit vectors, therefore \(\begin{array}{l}\hat{n_{s}}= \hat{n_{1}} +... View Article

A man crosses a 320 m wide river perpendicular to the current in 4 mm. If in still water he can swim with a speed 5/3 times that of the current, then the speed of the current, in m/min is

1) 30 2) 40 3) 50 4) 60 Answer: 4) 60 Solution: Width of the river, d = 320 m... View Article

The sum of the magnitudes of two forces acting at a point is 18 and the magnitude of their resultant is 12. If the resultant is at 90o with a force of smaller magnitude, what are the magnitudes of forces?

1) 2, 5 2) 14, 4 3) 5, 13 4) 10, 8 Answer: 3) 5, 13 Solution: Let P be the... View Article

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