If the length of rod A is (3.25 ± 0.01) cm and that of B is(4.19 ± 0.01) cm, then the rod B is longer than rod A by
A wire has a mass 0.3 ± 0.003g, radius 0.5 ± 0.005mm and length 6 ± 0.06 cm. The maximum percentageerror in the measurement of its density is 1
A cube has a side of length 1.2 x 10-2 m. Calculate itsvolume.
If L= 2.331 cm, B - 2.1 cm, then L + B is equal to
A plate has a length (5 ± 0.1) cm and breadth(2 ± 0.01) cm. Then the area of the plate is
The number of significant figures in all the givennumbers 25.12, 2009, 4.156 and 1.217 x 10-4 is
An object, moving with a speed of 6.25 m/s, isdecelerated at a rate given by
where v isthe instantaneous speed. The time taken by the object,to come to rest, would be
The position of a particle x (in metre) at a time t secondis given by the relation r = (3tiˆ - t2 ˆj + 4kˆ) . Calculatethe magnitude of velocity of the particle after 5s.
A particle moves along with x-axis. The position x ofparticle with respect to time t from origin given by x =b0 + b1t + b2 t2. The acceleration of particle is
The acceleration a of a particle starting from rest varieswith time according to relation a = αt + β . The velocityof the particle after a time t will be
A particle moves along a straight line such that itsposition x at any time t is x = 6t2 -t3. Where x in metreand t is in second, then
Displacement (x) of a particle is related to time (t) as x = at + bt2 - ct3 where a,b and c are constants of the motion. Thevelocity of the particle when its acceleration is zero isgiven by
Acceleration of a body when displacement equation is3s = 9t + 5t2 is
The velocity of particle is v = v0 + gt + ft2. If its positionis x = 0 at t = 0, then its displacement after unit time(t = 1) is
The coordinates of a moving particle at any time t are given by x = αt3 and y = βt3 . The speed of particle attime t is given by
A particle located at x = 0 at time t = 0, starts movingalong the position x-direction with a velocity v that varies as .The displacement of the particle varies withtime as
The displacement of particle is given by
What is its acceleration?
The relation between time t and distance x ist = ax2 + bx, where a and b are constants. Theacceleration is
A particle moves along x - axis asx = 4 (t - 2) + a (t - 2)2 Which of the following is true?
If the velocity of a particle is given by v = (180 -16x)1/2ms-1, then its acceleration will be
A particle moves along x-axis in such a way that itscoordinate (x) varies with time t according to theexpression x = 2 -5t + 6t2 m, the initial velocity of theparticle is
A particle moves along a straight line such that itsdisplacement at any time t is given by s = t3 - 6t2 +3t + 4. The velocity when its acceleration is zero is
The displacement s of a particle is proportional to thefirst power of time t, i.e.,sa t; then the acceleration ofthe particle is
The displacement x of particle moving in one dimensionunder the action of a constant force is related to time tby the equation , where x is in metres and tis in seconds, Find the displacement of the particlewhen its velocity is zero
For motion of an object along the x-axis, the velocity vdepends on the displacement x as v = 3x2 - 2x, thenwhat is the acceleration at x = 2m.