Question

The ratio of binding energy of a satellite at rest on earth's surface to the binding energy of a satellite of same mass revolving around the earth at a height h above the earth's surface is ______ (R = radius of the earth).

विकल्प

• `(2("R"+"h"))/"R"`

• `("R"+"h")/2`

• `("R"+"h")/"R"`

• `"R"/("R"+"h")`

Answer 1

The ratio of binding energy of a satellite at rest on earth's surface to the binding energy of a satellite of same mass revolving around the earth at a height h above the earth's surface is `underlinebb((2("R"+"h"))/"R")` (R = radius of the earth).

Explanation:

Binding energy on the surface of the earth

`"E"_1="GMm"/"R"`            ...(i)

Binding energy of revolving satellite at a height h from the earth surface,

`"E"_2="GMm"/(2("R"+"h"))`         ...(ii)

From eqs. (i) and (ii),

`"E"_1/"E"_2=(2("R"+"h"))/"R"`