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Question (1)

QN0034876

If is the angle between two vectors, then the resultant vector is maximum, when value of is

(A)
(B)
(C)
(D)
Same in all cases

Correct Answer: A

Explanation:

Resultant vector of two vectors inclined at an angle , is given by

if

This is the maximum resultant possible.

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Question (2)

QN0034877

If and then the unit vector along is

(A)
(B)
(C)
(D)
None of these

Correct Answer: C

Explanation:

Unit vector

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Question (3)

QN0034878

The sum of two vectors and is such that . The angle (in degrees) that the resultant of and will make with is

(A)
(B)
(C)
(D)

Correct Answer: C

Explanation:

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Question (4)

QN0034879

For which angle between two equal vectors and will the magnitude of the sum of two vectors be equal to the magnitude of each vector?

(A)
(B)
(C)
(D)

Correct Answer: B

Explanation:

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Question (5)

QN0034880

For two vectors and is always true when

(A)
(B)
(C)
and and are parallel or anti parallel
(D)
None of these

Correct Answer: B

Explanation:

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Question (6)

QN0034881

The position of particle is given by , where is in second and the coefficients have proper units for to be in metre. The of the particle at is

(A)
along -direction
(B)
along -direction
(C)
along -direction
(D)
along -direction

Correct Answer: C

Explanation:

along -direction

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Question (7)

QN0034882

A body moves in plane under the action of acceleration given by . Assuming that the body is at rest at time , the velocity of body at is

(A)
(B)
(C)
(D)

Correct Answer: A

Explanation:

so

and

(because at )

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Question (8)

QN0034883

A particle moves in the plane with a constant acceleration in the direction making an angle of with the -axis. At the particle is at the origin and its velocity is along the X-axis. Find the position of the particle at .

(A)
(B)
(C)
(D)

Correct Answer: A

Explanation:

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Question (9)

QN0034884

For motion in two or three dimensions, the angle between velocity and acceleration is

(A)
(B)
(C)
(D)
Any angle between

Correct Answer: D

Explanation:

Along same straight line, velocity & acceleration can be in the same direction, opposite to each other or perpendicular as in circular motion with uniform speed. Thus can be anywhere between .

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Question (10)

QN0034885

A particle moving with velocity , where constant. The general equation for its path is constant

(A)
(B)
(C)
(D)

Correct Answer: D

Explanation:

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Question (1)

If is the angle between two vectors, then the resultant vector is maximum, when value of is

Explanation:

Link:

Question (2)

If and then the unit vector along is

Explanation:

Link:

Question (3)

The sum of two vectors and is such that . The angle (in degrees) that the resultant of and will make with is

Explanation:

Link:

Question (4)

For which angle between two equal vectors and will the magnitude of the sum of two vectors be equal to the magnitude of each vector?

Explanation:

Link:

Question (5)

For two vectors and is always true when

Explanation:

Link:

Question (6)

The position of particle is given by , where is in second and the coefficients have proper units for to be in metre. The of the particle at is

Explanation:

Link:

Question (7)

A body moves in plane under the action of acceleration given by . Assuming that the body is at rest at time , the velocity of body at is

Explanation:

Link:

Question (8)

A particle moves in the plane with a constant acceleration in the direction making an angle of with the -axis. At the particle is at the origin and its velocity is along the X-axis. Find the position of the particle at .

Explanation:

Link:

Question (9)

For motion in two or three dimensions, the angle between velocity and acceleration is

Explanation:

Link:

Question (10)

A particle moving with velocity , where constant. The general equation for its path is constant

Explanation:

Link:

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