MCQ
A body rotating at $20\ rad/sec$ is acted upon by a constant torque providing it a deceleration of $2\ rad/sec^2$. At what time will the body have kinetic energy same as the initial value if the torque continues to act ...... $\sec.$
  • $20$
  • B
    $40$
  • C
    $5$
  • D
    $10$

Answer

Correct option: A.
$20$
a
$\omega=\omega_{0}-\alpha t$

$-20=20-2 t$

$\therefore t=20 s$

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

The graph between two temperature scales A and B is shown in between upper fixed point and lower fixed point there are 150 equal division on scale A and 100 on scale B. The relationship for conversion between the two scales is given by:
A food packet is dropped from a helicopter rising up with a velocity of $4\,ms^{-1}.$ The velocity of the packet after three second will be.......$ms^{-1}$
For a body executing $S.H.M. :$

$(a)$ Potential energy is always equal to its $K.E.$

$(b)$ Average potential and kinetic energy over any given time interval are always equal.

$(c)$ Sum of the kinetic and potential energy at any point of time is constant.

$(d)$ Average $K.E.$ in one time period is equal to average potential energy in one time period.

Choose the most appropriate option from the options given below:

At what temperature volume of an ideal gas at $0°C$ becomes triple ....... $^oC$
A tall cylinder is filled with viscous oil. A round pebble is dropped from the top with zero initial velocity. From the plot shown in indicate the one that represents the velocity $(v)$ of the pebble as a function of time $(t):$
 
A lead bullet at $27°C$ just melts when stopped by an obstacle. Assuming that $25\%$ of heat is absorbed by the obstacle, then the velocity of the bullet at the time of striking........ $m/sec$  ($M.P.$ of lead $= 327°C,$ specific heat of lead $= 0.03\, cal/gm°C,$ latent heat of fusion of lead $= 6\, cal/gm$ and $J = 4.2\, joule/cal)$
$Assertion :$ Perspiration from human body helps in cooling the body.
$Reason :$ A thin layer of water on the skin enhances its emissivity.
What should be the angular speed with which the earth have to rotate on its axis so that a person on the equator would weigh $\frac{3}{5}$ th as much as present?
Moment of inertia $(M.I.)$ of four bodies, having same mass and radius, are reported as;

$I _{1}= M$. of thin circular ring about its diameter.

$I _{2}=$ $M.I.$ of circular disc about an axis perpendicular to the disc and going through the centre,

$I _{3}=$ $M.I.$ of solid cylinder about its axis and

$I _{4}= M . I.$ of solid sphere about its diameter. Then

At NTP, water boils at 100°C. Deep down the mine, water will boil at a temperature.