Question:
The time period of a geostationary satellite at a height 36000 km is 24 h. A spy satellite orbits earth at a height 6400 km. What will be the time period of spy satellite? [Radius of the earth = 6400 km]
The time period of a geostationary satellite at a height 36000 km is 24 h. A spy satellite orbits earth at a height 6400 km. What will be the time period of spy satellite? [Radius of the earth = 6400 km]
Show Hint
The time period of a geostationary satellite at a height 36000 km is 24 h. A spy satellite orbits earth at a height 6400 km. What will be the time period of spy satellite? [Radius of the earth = 6400 km]
Updated On: Apr 15, 2026
- 5 h
- 4 h
- 3 h
- 12 h
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Kepler's Law
$T^2 \propto R^3$.
Step 2: Radii
$R_1 = 36000 + 6400 = 42400 \text{ km}$. $R_2 = 6400 + 6400 = 12800 \text{ km}$.
Step 3: Calculation
$\frac{T_2}{T_1} = \left(\frac{R_2}{R_1}\right)^{1.5} \approx \left(\frac{12800}{42400}\right)^{1.5} \approx 4 \text{ h}$.
Final Answer: (B)
$T^2 \propto R^3$.
Step 2: Radii
$R_1 = 36000 + 6400 = 42400 \text{ km}$. $R_2 = 6400 + 6400 = 12800 \text{ km}$.
Step 3: Calculation
$\frac{T_2}{T_1} = \left(\frac{R_2}{R_1}\right)^{1.5} \approx \left(\frac{12800}{42400}\right)^{1.5} \approx 4 \text{ h}$.
Final Answer: (B)
Was this answer helpful?
0
0
Top MET Physics Questions
- The wave number of the shortest wavelength of absorption spectrum of hydrogen atom is_ _ _ _
(Rydberg constant = \(109700\,\mathrm{cm^{-1}}\)).- MET - 2024
- Physics
- atom structure models
- In the circuit shown, diode has \(20\Omega\) forward resistance. When \(V_i\) increases from \(8V\) to \(12V\), change in current is \(x\,mA\). Find \(x\).
- MET - 2024
- Physics
- applications of diode
- When a lens is cut into two halves along \(XOX'\), then focal length of each half lens:
- MET - 2024
- Physics
- Ray optics and optical instruments
- When \(100\,V\) DC is applied across a solenoid, current is \(1\,A\). When \(100\,V\) AC is applied, current is \(0.5\,A\). Frequency \(=50\,Hz\). Find inductance \(= x\,mH\).
- MET - 2024
- Physics
- LCR Circuit
- An electric kettle has two coils. When one coil is switched on, it takes 10 min to boil water and when the second coil is switched on it takes 20 min to boil same amount of water. The time taken when both coils are used in parallel is \(n\) seconds. Find \(n\).
- MET - 2024
- Physics
- Kirchhoff's Laws
View More Questions
Top MET Gravitation Questions
- A research satellite of mass $200\mathrm{kg}$ circles the earth in an orbit of average radius $\frac{3R}{2}$, where $R$ is the radius of the earth. Assuming the gravitational pull on a mass of $1\mathrm{kg}$ on the earth's surface to be $10\mathrm{N}$, the pull on the satellite will be
- MET - 2018
- Physics
- Gravitation
- A geo-stationary satellite is orbiting the earth at height of 6\(R\) above the surface of the earth, \(R\) being the radius of the earth. The time period of another satellite at a height of 2.5 \(R\) from the surface of the earth is
- MET - 2017
- Physics
- Gravitation
- A thin walled glass sphere of radius 2.5 cm is filled with water. An object (O) is placed at 7.5 cm from the surface of the sphere. Neglecting the effect of glass wall, at what distance the image (I) of the object, measured from the centre of sphere is formed?
- MET - 2016
- Physics
- Gravitation
- At what height h above earth, the value of g becomes g/2? (R = Radius of earth)
- MET - 2010
- Physics
- Gravitation
Top MET Questions
Let \( D = \begin{vmatrix} n & n^2 & n^3 \\ n^2 & n^3 & n^5 \\ 1 & 2 & 3 \end{vmatrix} \). Then \( \lim_{n \to \infty} \frac{M_{11} + C_{33}}{(M_{13})^2} \) is:
- MET - 2024
- Determinants
- Given vectors \(\vec{a}, \vec{b}, \vec{c}\) are non-collinear and \((\vec{a}+\vec{b})\) is collinear with \((\vec{b}+\vec{c})\) which is collinear with \(\vec{a}\), and \(|\vec{a}|=|\vec{b}|=|\vec{c}|=\sqrt{2}\), find \(|\vec{a}+\vec{b}+\vec{c}|\).
- MET - 2024
- Addition of Vectors
- Given \(\frac{dy}{dx} + 2y\tan x = \sin x\), \(y=0\) at \(x=\frac{\pi}{3}\). If maximum value of \(y\) is \(1/k\), find \(k\).
- MET - 2024
- Differential equations
- A real differentiable function \(f\) satisfies \(f(x)+f(y)+2xy=f(x+y)\). Given \(f''(0)=0\), then \[ \int_0^{\pi/2} f(\sin x)\,dx = \]
- MET - 2024
- Definite Integral
- Let \( f(x) \) be a polynomial such that \( f(x) + f(1/x) = f(x)f(1/x) \), \( x > 0 \). If \( \int f(x)\,dx = g(x) + c \) and \( g(1) = \frac{4}{3} \), \( f(3) = 10 \), then \( g(3) \) is:
- MET - 2024
- Definite Integral
View More Questions