A ball is whirled on the end of a string in a horizontal circle of radius R at constant speed v- The centripetal acceleration of the ball can be increased by a factor of 4 by-A- keeping the speed fixed and decreasing the radius by a factor of 4 -B- keeping the radius fixed and decreasing the period by a factor of 4 -C- keeping the radius fixed and increasing the period by a factor of 4 -D- keeping the speed fixed and increasing the radius by a factor of 4 -

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Centripetal Force

A ball is whi...

Question

A ball is whirled on the end of a string in a horizontal circle of radius R at constant speed v. The centripetal acceleration of the ball can be increased by a factor of 4 by:

keeping the speed fixed and decreasing the radius by a factor of 4.

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

keeping the radius fixed and decreasing the period by a factor of 4.

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

keeping the radius fixed and increasing the period by a factor of 4.

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

keeping the speed fixed and increasing the radius by a factor of 4.

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

Open in App

Solution

The correct option is A
keeping the speed fixed and decreasing the radius by a factor of 4.

Centripetal Acceleration $= \frac{v^{2}}{R}$ or $R \frac{4 π^{2}}{T^{2}}$ . There are only 3 variables we can alter to increase this acceleration by a factor of 4. So keeping v fixed and decreasing R by a factor of 4 is the right one.

Suggest Corrections

Similar questions

If the radius of the earth were increased by a factor of 2 keeping the mass constant by what factor would its density have to be changed to keep g the same?

Q. A mass m rotates in a vertical circle of radius R and has a circular speed

v_{c}

at the top . If the radius of the circle is increased by a factor of 4, circular speed at the top will be

Q. A mass m rotates in a vertical circle, of radius R and has a circular speed

v_{c}

at the top, . If the radius of the circle is increased by a factor of 4, circular speed at the top will be.

A ball of mass 0.1 Kg. is whirled in a horizontal circle of radius 1 m. by means of a string at an initial speed of 10 R.P.M. Keeping the radius constant, the tension in the string is reduced to one quarter of its initial value. The new speed is

Q. In a transistor circuit, when the base current is increased by

50

μ A

, keeping collector voltage fixed at

2 V

, the collector current increases by

1.0 m A

. The current amplification factor of the transistor will be

Join BYJU'S Learning Program

A ball is whirled on the end of a string in a horizontal circle of radius R at constant speed v. The centripetal acceleration of the ball can be increased by a factor of 4 by:

The correct option is A keeping the speed fixed and decreasing the radius by a factor of 4. Centripetal Acceleration =v2R or R4π2T2. There are only 3 variables we can alter to increase this acceleration by a factor of 4. So keeping v fixed and decreasing R by a factor of 4 is the right one.