1
IIT-JEE 2007
MCQ (Single Correct Answer)
+3
-0.75
$${{{d^2}x} \over {d{y^2}}}$$ equals
A
$${\left( {{{{d^2}y} \over {d{x^2}}}} \right)^{ - 1}}$$
B
$$ - {\left( {{{{d^2}y} \over {d{x^2}}}} \right)^{ - 1}}{\left( {{{dy} \over {dx}}} \right)^{ - 3}}$$
C
$$\left( {{{{d^2}y} \over {d{x^2}}}} \right){\left( {{{dy} \over {dx}}} \right)^{ - 2}}$$
D
$$ - \left( {{{{d^2}y} \over {d{x^2}}}} \right){\left( {{{dy} \over {dx}}} \right)^{ - 3}}$$
2
IIT-JEE 2007
MCQ (Single Correct Answer)
+6
-1.5
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.

Column I

(A) GMeMs ,
G $$ \to $$ universal gravitational constant, Me $$ \to $$ mass of the earth, Ms $$ \to $$ mass of the Sun

(B) $${{3RT} \over M}$$,
R $$ \to $$ universal gas constant, T $$ \to $$ absolute temperature, M $$ \to $$ molar mass

(C) $${{{F^2}} \over {{q^2}{B^2}}}$$ ,
F $$ \to $$ force, q $$ \to $$ charge, B $$ \to $$ magnetic field

(D) $${{G{M_e}} \over {{R_e}}}$$,
G $$ \to $$ universal gravitational constant, Me $$ \to $$ mass of the earth, Re $$ \to $$ radius of the earth

Column II

(p) (volt) (coulomb) (metre)

(q) (kilogram) (metre)3 (second)−2

(r) (meter)2(second)−2

(s) (farad) (volt)2 (kg)−1

A
A $$ \to $$ (p) & (q), B $$ \to $$ (r) & (s), C $$ \to $$ (r) & (s), D $$ \to $$ (r) & (s)
B
A $$ \to $$ (p), B $$ \to $$ (r) & (s), C $$ \to $$ (r) & (s), D $$ \to $$ (r) & (s)
C
A $$ \to $$ (p) & (q), B $$ \to $$ (r) & (s), C $$ \to $$ (r) & (s), D $$ \to $$ (r)
D
A $$ \to $$ (p) & (q), B $$ \to $$ (r), C $$ \to $$ (r) & (s), D $$ \to $$ (r) & (s)
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