You visited us 3 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Centripetal Acceleration

If two rodes ...

Question

If two rodes $A$ and $B$ of the same material and length having radii $r_{1}$ and $r_{2}$ respectively are rigidly fixed at one end are twisted by the same couple applied at the other end, then the ratio of
$(\frac{a n g l e o f t w i s t a t t h e e n d o f A}{a n g l e o f t w i s t a t t h e e n d o f B})$ will be

\frac{r_{1}^{2}}{r_{2}^{2}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{r_{1}^{3}}{r_{2}^{3}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{r_{1}^{4}}{r_{2}^{4}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{r_{2}^{4}}{r_{2}^{4}}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is C $\frac{r_{2}^{4}}{r_{2}^{4}}$
By the relation, $C = \frac{π η θ r^{4}}{2 I}$
or $θ \propto \frac{1}{r^{4}}$
So, $θ \propto \frac{1}{r^{4}}$
$\frac{θ_{A}}{θ_{B}} = \frac{r_{2}^{4}}{r_{1}^{4}}$

Suggest Corrections

Similar questions

Q. Two rods

A

and

B

of the same material and length have their radii

r_{1}

and

r_{2}

respectively. When they are rigidly fixed at one end and twisted by the same couple applied at the other end, the ratio

[\frac{A n g l e o f t w i s t a t t h e e n d o f A}{A n g l e o f t w i s t a t t h e e n d o f B}]

is:

Q. Two rods

A

and

B

of same length and made of same material have their radii

R_{1}

and

R_{2}

respectively. If the rods are rigidly fixed at one end and twisted by the same couple applied at the free end, then what is the ratio

\frac{angle of twist at the end of A}{angle of twist at the end of B}

Two wires A and B of same length and of the same material have the respective radii $r_{1} a n d r_{2}$ . Their one end is fixed with a rigid support, and at the other ends equal twisting couple is applied. Then the ratio of the angle of twist at the end of A and The angle of twist at the end of B will be

Q. Two rods A and B of the same material and length have their radii

r_{1}

and

r_{2}

respectively. When they are rigidly fixed at one end and twisted by the same couple applied at the other end, the ratio of the angle of twist at the end of A and the angle of twist at the end of B is

Q. Two rods A and B of the same material and length have their radii

r_{1}

and

r_{2}

respectively. When they are rigidly fixed at one end and twisted by the same couple applied at the other end, the ratio of the angle of twist at the end of A and the angle of twist at the end of B is

Join BYJU'S Learning Program

If two rodes A and B of the same material and length having radii r1 and r2 respectively are rigidly fixed at one end are twisted by the same couple applied at the other end, then the ratio of(angleoftwistattheendofAangleoftwistattheendofB) will be

The correct option is C r42r42By the relation, C=πηθr42Ior θ∝1r4So, θ∝1r4θAθB=r42r41

The correct option is C $\frac{r_{2}^{4}}{r_{2}^{4}}$
By the relation, $C = \frac{π η θ r^{4}}{2 I}$
or $θ \propto \frac{1}{r^{4}}$
So, $θ \propto \frac{1}{r^{4}}$
$\frac{θ_{A}}{θ_{B}} = \frac{r_{2}^{4}}{r_{1}^{4}}$