1
AIEEE 2012
MCQ (Single Correct Answer)
+4
-1
Let $$ABCD$$ be a parallelogram such that $$\overrightarrow {AB} = \overrightarrow q ,\overrightarrow {AD} = \overrightarrow p $$ and $$\angle BAD$$ be an acute angle. If $$\overrightarrow r $$ is the vector that coincide with the altitude directed from the vertex $$B$$ to the side $$AD,$$ then $$\overrightarrow r $$ is given by :
A
$$\overrightarrow r = 3\overrightarrow q - {{3\left( {\overrightarrow p .\overrightarrow q } \right)} \over {\left( {\overrightarrow p .\overrightarrow p } \right)}}\overrightarrow p $$
B
$$\overrightarrow r = - \overrightarrow q + {{\left( {\overrightarrow p .\overrightarrow q } \right)} \over {\left( {\overrightarrow p .\overrightarrow p } \right)}}\overrightarrow p $$
C
$$\vec r = \vec q - {{\left( {\vec p.\vec q} \right)} \over {\left( {\vec p.\vec p} \right)}}\vec p$$
D
$$\overrightarrow r = - 3\overrightarrow q - {{3\left( {\overrightarrow p .\overrightarrow q } \right)} \over {\left( {\overrightarrow p .\overrightarrow p } \right)}}$$
2
AIEEE 2012
MCQ (Single Correct Answer)
+4
-1
Truth table for system of four $$NAND$$ gates as shown in figure is: AIEEE 2012 Physics - Semiconductor Question 192 English
A
AIEEE 2012 Physics - Semiconductor Question 192 English Option 1
B
AIEEE 2012 Physics - Semiconductor Question 192 English Option 2
C
AIEEE 2012 Physics - Semiconductor Question 192 English Option 3
D
AIEEE 2012 Physics - Semiconductor Question 192 English Option 4
3
AIEEE 2012
MCQ (Single Correct Answer)
+4
-1
A diatomic molecule is made of two masses $${m_1}$$ and $${m_2}$$ which are separated by a distance $$r.$$ If we calculate its rotational energy by applying Bohr's rule of angular momentum quantization, its energy will be given by: ($$n$$ is an integer)
A
$${{{{\left( {{m_1} + {m_2}} \right)}^2}{n^2}{h^2}} \over {2m_1^2m_2^2{r^2}}}$$
B
$${{{n^2}{h^2}} \over {2\left( {{m_1} + {m_2}} \right){r^2}}}$$
C
$${{2{n^2}{h^2}} \over {\left( {{m_1} + {m_2}} \right){r^2}}}$$
D
$${{\left( {{m_1} + {m_2}} \right){n^2}{h^2}} \over {2{m_1}{m_2}{r^2}}}$$
4
AIEEE 2012
MCQ (Single Correct Answer)
+4
-1
Assume that a neutron breaks into a proton and an electron. The energy released during this process is : (mass of neutron $$ = 1.6725 \times {10^{ - 27}}kg,$$ mass of proton $$ = 1.6725 \times {10^{ - 27}}\,kg,$$ mass of electron $$ = 9 \times {10^{ - 31}}\,kg$$ ).
A
$$0.51$$ $$MeV$$
B
$$7.10\,MeV$$
C
$$6.30\,MeV$$
D
$$5.4\,MeV$$
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