MCQ
A particle is tied to $20\,cm$ long string. It performs circular motion in vertical plane. What is the angular velocity of string when the tension in the string at the top is zero .......... $rad/sec$
- A$5$
- B$2$
- C$7.5$
- ✓$7$
✓
Answer
Correct option: D.
$7$
d
(d)$\omega = \sqrt {\frac{g}{r}} = \sqrt {\frac{{9.8}}{{0.2}}} = 7\,rad/s$
(d)$\omega = \sqrt {\frac{g}{r}} = \sqrt {\frac{{9.8}}{{0.2}}} = 7\,rad/s$
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 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.......$ms^{-1}$
→Figure shows the displacement of a particle going along the $X-$axis as a function of time. The force acting on the particle is zero in the region
→The transverse displacement of a string (clamped at its both ends) is given by $\text{y}(\text{x, t})=0.06\sin(1\pi\text{x/ 3})\cos(120\pi\text{t}).$
All the points on the string between two consecutive nodes vibrate with
→All the points on the string between two consecutive nodes vibrate with
The volume of an ideal gas $(\gamma=1.5)$ is changed adiabatically from $5$ litres to $4$ litres. The ratio of initial pressure to final pressure is:
→The mean distance between the atoms of iron is $3 \times {10^{ - 10}}m$ and interatomic force constant for iron is $7\,N\,/m$The Young’s modulus of elasticity for iron is
→Two forces of 10 N each are acting at an angle $\theta^{\circ}$ at a point. Their resultant force is 10 N . The value of $\theta$ will be.
→The composition of two simple harmonic motions of equal periods at right angle to each other and with a phase difference of $\pi $ results in the displacement of the particle along
→Work done in raising a box depends on
The terminal velocity of a small sphere of radius $a$ in a viscous liquid is proportional to
→Match List$-I$ with List$-II$.
→| List$-I$ | List$-II$ |
| $(A)$ Angular momentum | $(I)$ $\left[ ML ^2 T ^{-2}\right]$ |
| $(B)$ Torque | $(II)$ $\left[ ML ^{-2} T ^{-2}\right]$ |
| $(C)$ Stress | $(III)$ $\left[ ML ^2 T ^{-1}\right]$ |
| $(D)$ Pressure gradient | $(IV)$ $\left[ ML ^{-1} T ^{-2}\right]$ |
Choose the correct answer from the options given below: