MCQ
A gun fires a bullet of mass $50 \,gm$ with a velocity of $30\,m\,{\sec ^{ - 1}}$. Because of this the gun is pushed back with a velocity of $1\,m\,{\sec ^{ - 1}}$. The mass of the gun is .......... $kg$
- A$15$
- B$30$
- ✓$1.5 $
- D$20$
✓
Answer
Correct option: C.
$1.5 $
c
(c)${m_G} = \frac{{{m_B}{v_B}}}{{{v_G}}}$$\frac{{50 \times {{10}^{ - 3}} \times 30}}{1} = 1.5\;kg$
(c)${m_G} = \frac{{{m_B}{v_B}}}{{{v_G}}}$$\frac{{50 \times {{10}^{ - 3}} \times 30}}{1} = 1.5\;kg$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A rod has length 3 m and its mass acting per unit length is directly proportional to distance x from one of its end, then its centre of gravity from that end will be at
Match List $I$ with List $II$ :
→| List $I$ (Physical Quantity) | List $II$ (Dimensional Formula) |
| $(A)$ Pressure gradient | $(I)$ $\left[ M ^0 L ^2 T ^{-2}\right]$ |
| $(B)$ Energy density | $(II)$ $\left[ M ^1 L ^{-1} T ^{-2}\right]$ |
| $(C)$ Electric Field | $(III)$ $\left[ M ^1 L ^{-2} T ^{-2}\right]$ |
| $(D)$ Latent heat | $(IV)$ $\left[ M ^1 L ^1 T ^{-3} A ^{-1}\right]$ |
Choose the correct answer from the options given below:
A cyclist moves in a circular track of radius $100$ m. If the coefficient of friction is $0.2$, then the maximum velocity with which the cyclist can take the turn with leaning inwards is ...... $m/s$
→The equation of a simple harmonic wave is given by $y = 3sin\frac{\pi }{2}\left( {50t - x} \right)\, $
→where $x$ and $y$ are in metres and $t$ is in seconds. The ratio of maximum particle velocity to the wave velocity is
The radius of gyration of a cylindrical rod about an axis of rotation perpendicular to its length and passing through the center will be $....m$ Given, the length of the rod is $10 \sqrt{3} m$.
→What is the maximum number of rectangular components into which a vector can be split in space?
Three rods of identical area of cross-section and made from the same metal form the sides of an isosceles triangle $ABC$, right angled at $B$. The points $A$ and $B$ are maintained at temperatures $T$ and $\sqrt 2 T$ respectively. In the steady state the temperature of the point C is ${T_C}$. Assuming that only heat conduction takes place, $\frac{{{T_C}}}{T}$ is equal to
→The path of a projectile in the absence of air drag is shown in the figure by dotted line. If the air resistance is not ignored then which one of the path shown in the figure is appropriate for the projectile
A simple pendulum consisting of a mass $M$ attached to a string of length $L$ is released from rest at an angle $\alpha$. $A$ pin is located at a distance $l$ below the pivot point. When the pendulum swings down, the string hits the pin as shown in the figure. The maximum angle $\theta$ which string makes with the vertical after hitting the pin is :-
→An inclined plane makes an angle of $30^o$ with the horizontal. $A$ solid sphere rolling down this inclined plane from rest without slipping has a linear acceleration equal to