MyQuestionIcon

1

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

Units and Dimensions

Rate of chang...

Question

Rate of change of weight near the earth's surface varies with height h (h<<R where R is the radius of the Earth) as

A

h

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

B

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

C

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

D

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

Open in App

Solution

The correct option is B

g(h) = g $(1 - \frac{2 h}{R})$ (h<<R)

Rate of change of weight with height

= $∣ ∣ \frac{d W}{d h} ∣ ∣$ = $∣ ∣ \frac{d (m g)}{d h} ∣ ∣$ = m $∣ ∣ \frac{d (g)}{d h} ∣ ∣$

= $\frac{2 m g}{R}$ = constant

Suggest Corrections

thumbs-up

1

Similar questions

Rate of change of weight near the earth's surface varies with height (h) as

Q. Find the rate of change of the total surface area of a cylinder of radius r and height h, when the radius varies.

Q. A satellite of mass

m

is orbiting the earth (of radius

R

h

from its surface. The total energy of the stellite in terms of

g_{0}

(value of acceleration due to gravity at the earth's surface) is

Q. The ratio of acceleration due to gravity at a depth

(h)

below the surface of earth and at a height

(h)

above the surface of earth for

h <<

R

R

= radius of the earth )

Q. The acceleration due to gravity on the earth's surface at the poles is

g

and angular veocity of the earth about the axis passing through the pole is

ω

. An object is weight at the equator and at a height

h

above the poles by using a spring balance. If the weight are found to be same, then

h

h << R

R

R

is the radius of the earth)

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Measurement of Significant Figures

CHEMISTRY

Watch in App

explore_more_icon

Explore more

Units and Dimensions

Standard XII Chemistry

Join BYJU'S Learning Program

CrossIcon