MCQ
Ball $A$ is thrown up vertically with speed $10 \,m / s$. At the same instant another ball $B$ is released from rest at height h. At time $t$, the speed of $A$ relative to $B$ is ...........
  • $10 \,m / s$
  • B
    $10-2 g t$
  • C
    $\sqrt{10^2-2 g h}$
  • D
    $10-g t$

Answer

Correct option: A.
$10 \,m / s$
a
(a)

$v_A=10 \,ms ^{-1}-10 t$

$v_B=0-10 t$

$v_{A B}=v_A-v_B=10-(10 t)-(-10 t)=10-10 t+10 t=0$

$\Rightarrow v_{A B}=10 \,ms ^{-1}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Read the following statements:

$A.$ When small temperature difference between a liquid and its surrounding is doubled the rate of loss of heat of the liquid becomes twice.

$B.$ Two bodies $P$ and $Q$ having equal surface areas are maintained at temperature $10^{\circ}\,C$ and $20^{\circ}\,C$. The thermal radiation emitted in a given time by $P$ and $Q$ are in the ratio $1: 1.15$

$C.$ A carnot Engine working between $100\,K$ and $400\,K$ has an efficiency of $75 \%$

$D.$ When small temperature difference between a liquid and its surrounding is quadrupled, the rate of loss of heat of the liquid becomes twice.

Choose the correct answer from the options given below :

The temperature at which the vapour pressure of a liquid becomes equals to the external (atmospheric) pressure is its
A block starts moving up an inclined plane of inclination $30^{\circ}$ with an initial velocity of $v_{0}$. It comes back to its initial position with velocity $\frac{v_{0}}{2} .$ The value of the coefficient of kinetic friction between the block and the inclined plane is close to $\frac{ I }{1000},$ The nearest integer to $I$ is......
A car of mass $m$ has an engine which can deliver power $P$. The minimum time in which car can be accelerated from rest to a speed $v$ is .............
A beaker containing water is placed on the platform of a spring balance. The balance reads $1.5$ $kg$. A stone of mass $0.5$ $kg$ and density $500$ $kg/m^3$ is immersed in water without touching the walls of beaker. What will be the balance reading now ? ..... $kg$ 
Which of the following options are correct?
Consider the following two equations:
$A. \text{L}=\text{I}\omega$
$B. \frac{\text{dL}}{\text{dt}}=\Gamma$
In noninertial frames:
Which of the following quantities remains constant during uniform circular motion?
Two blocks of maases $10\,kg$ and $4\,kg$ are connected by a spring of negligible mass and placed on a frictionless horizontal surface. An impulse gives a velocity of $14\,m/s$ to the heavier block in the direction of the lighter block. The velocity of the centre of mass is ......... $m/s$
A car $P$ travelling at $20\,ms ^{-1}$ sounds its horn at a frequency of $400\,Hz$. Another car $Q$ is travelling behind the first car in the same direction with a velocity $40\,ms ^{-1}$. The frequency heard by the passenger of the car $Q$ is approximately $.......\,Hz$ [Take, velocity of sound $=360\,ms ^{-1}$ ]