BM & VECTORS- High Level Ques

Which of the following pairs of displacement cannot be added to give a resultant displacement of 2m.

• 1 m and 1m

• 1 m and 2m

• 1 m and 3m

• 1 m and 4m

A particle is moving in XY-plane under the effect of force F such that the component of its linear momentum P at any instant t, Px= 2 cos t and Py= 2 sin t. What will be the angle between F and P at time 't'

• 0

• 45

• 90

• 180

What is the resultant of three coplanar force : 300N at 0degree, 400 N at 30degree and 400 N at 150degree

• 700 N

• 500 N

• 300 N

• 1100 N

Divide 20 into two parts such that the product of

one part and the cube of the other is maximum.

The two parts are

• None

• 10,10

• 5,15

• 13,7

A displacement vector 

r has magnitude of 25m and makes an angle of 210o with the x-axis. Then its y-

component is -

• –21.7 m

• 21.7 m

• 12.5 m

• –12.5 m

If a vector makes angles α, β, γ with X-axis, Y-axis and Z-axis respectively, then write the value of sin²⁡α+sin²⁡β+sin²⁡γ

• 4

• 3

• 2

• 1

State whether True or False :

Motion in 3-Dimension can't be represented with the help of vectors.

• TRUE

• FALSE

• PATTTA NHI

The x-component of the resultant of several vectors -

(a) is equal to the sum of the x-components of the vectors

(b) May be smaller than the sum of the magnitudes of the vectors

(c) May be greater than the sum of the magnitudes of the vectors

(d) May be equal to the sum of the magnitudes of the vectors

• a,c,d

• a,b,c

• a,b,d

• b,c,d

• A

• B

• C

• D

Find out the Incorrect statements from below (Base=10)

• log (1 * 2 * 3) = log 1 + log 2 + log 3

• log (2 + 3) = log (2× 3)

• log10 = 1

• log1 = 0