The side of a square is increasing at ther rate of `0.2 cm//s`. The rate of increase of perimeter w.r.t. time is :
A
`2bhat(j)`
B
`ahat(i)`
C
`(a-2b)hat(i)`
D
None of these
Text Solution
Verified by Experts
The correct Answer is:
B
`(dvec(r))/(dt)=ahat(i)-2bt hat(j)` at `t=0, (dvec(r))/(dt)=ahat(i)`
Topper's Solved these Questions
BASIC MATHS
ALLEN |Exercise Comprehension 4|3 Videos
BASIC MATHS
ALLEN |Exercise DATA SUFFICIENCY QUESTIONS|3 Videos
BASIC MATHS
ALLEN |Exercise Comprehension 2|3 Videos
AIIMS 2019
ALLEN |Exercise PHYSICS|39 Videos
CIRCULAR MOTION
ALLEN |Exercise EXERCISE (J-A)|6 Videos
Similar Questions
Explore conceptually related problems
The side of a square is increasing at the rate of 0.2 cm/s. The rate of increase of perimeter w.r.t time is :
The radius of a circle is increasing at the rate of 0.7 cm/s. What is the rate of increase of its circumference ?
The sides of an equilateral triangle are increasing at the rate of 2cm/sec. The rate at which the area increases, when side is 10 cm is ………..
The diagonal of a suare is increasing at the rate of 0.5 cm/sec. when the area of a square is 400 cm^(2) , the area is increasing at the rate of ………….
The volume of a sphere is increasing at the rate of pi cm^(2)//sec . The rate at which the radius is increasing is ……….., when the radius is 3 cm.
The area of a triangle is increasing at the rate of 4 cm^(2)//s . Its altitude is increasing at the rate of 2 cm/s. When the length of its altitude is 20 cm and its area is 30 cm^(2) , find the rate of change of its base.
The surface area of a spherical bubble is increasing at the rate of 2 c m^2//s . When the radius of the bubble is 6cm, at what rate is the volume of the bubble increasing?
A cylinder is heated in such a way that its radius always remains twice of its height when the radius is 3 cm, find the rate of increase of its volume. The radius is increased at the rate of 2 cm/s. Also find the rate of increase of its total surface area.
The radius of an air bubble is increasing at the rate of (1)/(2) cm/s. At what rate is the volume of the bubble increasing when the radius is 1 cm ?