1
IIT-JEE 2007 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1

Some physical quantities are given in Column I and some possible SI units in which these quantities may be expressed are given in Column II. Match the physical quantities in Column I with the units in Column II and indicate your answer by darkening appropriate bubbles in the 4 $$\times$$ 4 matrix given in the ORS.

Column I Column II
(A) GM$$_e$$M$$_s$$
G - universal gravitational constant,
M$$_e$$ - mass of the earth,
M$$_s$$ - mass of the Sun
(P) (volt)
(coulomb)
(metre)
(B) $${{3RT} \over M}$$
R - universal gas constant,
T - absolute temperature,
M - molar mass
(Q) (kilogram)
(metre)$$^3$$
(second)$$^{-2}$$
(C) $${{{F^2}} \over {{q^2}{B^2}}}$$
F - force,
q - charge,
B - magnetic field
(R) (metre)$$^2$$
(second)$$^{-2}$$
(D) $${{G{M_e}} \over {{R_e}}}$$
G - universal gravitational constant,
M$$_e$$ - mass of the earth
R$$_e$$ - radius of the earth
(S) (farad)
(volt)$$^2$$
(kg)$$^{-1}$$

A
(A)→(P), (Q); (B)→(R), (S); (C)→(R), (S); (D)→(R), (S)
B
(A)→(P); (B)→(R), (S); (C)→(R), (S); (D)→(R)
C
(A)→(P), (Q); (B)→(S); (C)→(R), (S); (D)→(S)
D
(A)→(Q); (B)→(R), (S); (C)→(S); (D)→(R), (S)
2
IIT-JEE 2006
MCQ (Single Correct Answer)
+3
-1

A system of binary stars of masses $m_{\mathrm{A}}$ and $m_{\mathrm{B}}$ are moving in circular orbits of radii $r_{\mathrm{A}}$ and $r_R$, respectively. If $\mathrm{T}_A$ and $\mathrm{T}_B$ are the time periods of masses $m_A$ and $m_B$ respectively, then

A

$\frac{\mathrm{T}_{\mathrm{A}}}{\mathrm{T}_{\mathrm{B}}}=\left(\frac{r_{\mathrm{A}}}{r_{\mathrm{B}}}\right)^{\frac{3}{2}}$

B

$\mathrm{T}_{\mathrm{A}}>\mathrm{T}_{\mathrm{B}}$ if $\left(r_{\mathrm{A}}>r_{\mathrm{B}}\right)$

C

$\mathrm{T}_{\mathrm{A}}>\mathrm{T}_{\mathrm{B}}$ if $\left(m_{\mathrm{A}}>m_{\mathrm{B}}\right)$

D

$\mathrm{T}_{\mathrm{A}}=\mathrm{T}_{\mathrm{B}}$

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