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** Previous Years JEE Advanced Questions**

**[IIT-JEE 2010]**

**Sol.**3

**[IIT-JEE 2010]**

**Sol.**6

**[IIT-JEE 2010]**

**Sol.**(A)

*V*in a circular orbit about the earth. An object of mass ‘m’ is ejected from the satellite such that it just escapes from the gravitational pull of the earth. At the time of its ejection, the kinetic energy of the object is :

** [IIT-JEE 2011]**

**Sol.**(B)

(A) $\mathrm{V}_{\mathrm{Q}}>\mathrm{V}_{\mathrm{R}}>\mathrm{V}_{\mathrm{P}}$

(B) $\mathrm{V}_{\mathrm{R}}>\mathrm{V}_{\mathrm{Q}}>\mathrm{V}_{\mathrm{P}}$

(C) $\mathrm{V}_{\mathrm{R}} / \mathrm{V}_{\mathrm{P}}=3$

(D) $\mathrm{V}_{\mathrm{P}} / \mathrm{V}_{\mathrm{Q}}=1 / 2$

**[IIT-JEE 2012]**

**Sol.**(B,D)

Escape velocity $=\sqrt{\frac{2 G M}{R}} \propto \sqrt{\frac{4}{3} \pi R^{3}} \propto \sqrt{A r e a}$

[since density of each planet is same]

(A) 96 N (B) 108 N (C) 120 N (D) 150 N

**[JEE-Advance 2014]**

**Sol.**(B)

$\mathrm{E}_{\mathrm{G}}=\frac{4 \pi \mathrm{Gr} \rho}{3}$

$\mathrm{dF}=\mathrm{E}_{\mathrm{G}} \lambda \mathrm{dr}$

(A) $\mathrm{v}_{\mathrm{s}}=22 \mathrm{km} \mathrm{s}^{-1}$

(B) $\mathrm{v}_{\mathrm{s}}=72 \mathrm{km} \mathrm{s}^{-1}$

(C) $\mathrm{v}_{\mathrm{s}}=42 \mathrm{km} \mathrm{s}^{-1}$

(D) $\mathrm{v}_{\mathrm{s}}=62 \mathrm{km} \mathrm{s}^{-1}$

**[JEE-Advance 2017]**

**Sol.**(C)

**[JEE-Advance 2018]**

**Sol.**(B)