Download App

Circular Motion — Physics STD 12 Science — Question

Bihar BoardEnglish MediumSTD 12 SciencePhysicsCircular Motion3 Marks
Question
A particle is projected with a speed u at an angle $\theta$ with the horizontal. Consider a small part of its path near the highest position and take it approximately to be a circular arc. What is the radius of this circle? This radius is called the radius of curvature of the curve at the point.
✓

Answer


Particle is projected with speed ‘u’ at an angle $\theta.$ At the highest pt. the vertical component of velocity is‘0’.

So, at that point, velocity $=\text{u}\sin\theta$

centripetal force $=\text{mu}^2\cos^2\Big(\frac{\theta}{\text{r}}\Big)$

At highest pt.

$\text{mg}=\frac{\text{mv}^2}{\text{r}}$

$\Rightarrow\text{r}=\frac{\text{u}^2\cos^2\theta}{\text{g}}$

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

Explore more

More "3 Marks Question" from Circular Motion→Circular Motion — all question types→Physics STD 12 Science question papers→Bihar Board STD 12 Science question papers→Bihar Board question paper generator→

Similar questions

The human eye has an approximate angular resolution of $\phi=5.8\times10^{-4}$ rad and a typical photoprinter prints a minimum of 300dpi (dots per inch, 1inch = 2.54cm). At what minimal distance z should a printed page be held so that one does not see the individual dots.
→
A convex lens of focal length 20 cm is placed coaxially with a convex mirror of radius of curvature 20 cm. The two are kept 15 cm apart. A point object is placed 40 cm in front of the convex lens. Find the position of the image formed by this combination. Draw the ray diagram showing the image formation.
→
Find the angle of minimum deviation for an equilateral prism made of a material of refractive index 1.732. What is the angle of incidence for this deviation?
→
  1. Write the principle of working of a metre bridge.
  2. In a metre bridge, the balance point is found at a distance $l_1$ with resistances R and S as shown in the figure.

An unknown resistance X is now connected in parallel to the resistance S and the balance point is found at a distance $l_2$. Obtain a formula for X in terms of $l_1$, $l_2$ and S.

→
In the original Fizeau method, the light travelled 8.6km and then returned. What could be the difficulty if this distance is taken as 8.6m?
→
Prove that the magnitude of electric current in a circuit is proportional to the drift velocity of free electrons. Verify Ohm's law with the help of drift velocity.
→
A long straight wire in the horizontal plane carries a current of 50 A in north to south direction. Give the magnitude and direction of B at a point 2.5 m east of the wire.
→
A long cylindrical wire of radius b carries a current i distributed uniformly over its cross-section. Find the magnitude of the magnetic field at a point inside the wire at a distance a from the axis.
→
Derive an expression for the axial magnetic field of a finite solenoid of length 2l and radius r carrying current I. Under what condition does the field become equivalent to that produced by a bar magnet?
→
Assume that each atom in a copper wire contributes one free electron. Estimate the number of free electrons in a copper wire having a mass of 6.4g (take the atomic weight of copper to be 64g mol-1.
→