1
IIT-JEE 2002 Screening
MCQ (Single Correct Answer)
+1
-0.25
Rutherford's experiment, which established the nuclear model of the atom, used a beam of
A
$$\beta-particles$$, which impinged on a metal foil and got absorbed
B
$$\gamma-particles$$, which impinged on a metal foil and ejected electrons
C
helium atoms, which impinged on a metal foil and got scattered
D
helium nuclei, which impinged on a metal foil and got scattered
2
IIT-JEE 2002 Screening
MCQ (Single Correct Answer)
+2
-0.5
How many moles of electron weigh one kilogram?
A
$$6.023 \times {10^{23}}$$
B
$${1 \over {9.108}} \times {10^{31}}$$
C
$${{6.023} \over {9.108}} \times {10^{54}}$$
D
$${1 \over {9.108 \times 6.023}} \times {10^8}$$
3
IIT-JEE 2002 Screening
MCQ (Single Correct Answer)
+2
-0.5
The point(s) in the curve $${y^3} + 3{x^2} = 12y$$ where the tangent is vertical, is (are)
A
$$\left( { \pm {4 \over {\sqrt 3 }}, - 2} \right)$$
B
$$\left( { \pm \sqrt {{{11} \over 3}} ,1} \right)$$
C
$$(0,0)$$
D
$$\left( { \pm {4 \over {\sqrt 3 }}, 2} \right)$$
4
IIT-JEE 2002 Screening
MCQ (Single Correct Answer)
+4
-1
Let $$\overrightarrow V = 2\overrightarrow i + \overrightarrow j - \overrightarrow k $$ and $$\overrightarrow W = \overrightarrow i + 3\overrightarrow k .$$ If $$\overrightarrow U $$ is a unit vector, then the maximum value of the scalar triple product $$\left| {\overrightarrow U \overrightarrow V \overrightarrow W } \right|$$ is
A
$$-1$$
B
$$\sqrt {10} + \sqrt 6 $$
C
$$\sqrt {59} $$
D
$$\sqrt {60} $$
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