Related InterviewSolutions

• `vec(r)=2that(i)+3tvec(2)hat(j)`. Find `vec(v)` and `vec(a)` where `vec(v)=(dvec(r))/(dr) , vec(a)=(dvec(v))/(dt)`
• `0.4hat(i)+0.8hat(j)+chat(k)` represents a unit vector, when c is :-A. 0.2B. `sqrt(0.2)`C. `sqrt(0.8)`D. 0
• A force of `(-3hat(i)-hat(j)+2hat(k))` N displaced the body from a point (4, -3, -5) m to a point (-1, 4, 3) m in a staight line. Find the work done by the force.
• If `hat(i)+2hat(j)+nhat(k)` is perpendicular to `4hat(i)+2hat(j)+2hat(k)` then find the value of n ?
• Calculate the dimensional formula of energy from the equation `E= 1/2 mv^2`.
• If force, time and velocity are treated as fundamental quantities then dimensional formula of energy will beA. [FTV]B. `FT^(2)V]`C. `FTV^(2)`D. `[FT^(2)V^(2)]`
• If `x=k sin (k l t)`, where x is displacement and t is time then dimensional formula for l will be ` (k, l="constant")`A. `[M^(0)L^(0)T^(0)]`B. `[M^(0)L^(1)T^(0)]`C. `[M^(0)L^(-1)T^(-1)]`D. `[ML^(-1)T^(-1)]`
• The position vectors of two balls are given by `vec(r)_(1)=2hat(i)+7hat(j) , vec(r)_(2)=-2hat(i)+4hat(j)` What will be the distance between the two balls?
• A body constrained to move in y direction is subjected to a force given by `vec(F)=(-2hat(i)+15hat(j)+6hat(k))` N . What is the work done by this force in moving the body through a distance of `10 m` along y-axis ?
• What displacement must be added to the displacement `25hat(i)-6hat(j)`m to give a displacement of 7.0 m pointing in the x-direction ?A. `18hat(i)-6hat(j)`B. `32hat(i)-13hat(j)`C. `-18hat(i)+6hat(j)`D. `-25hat(i)+13hat(j)`