AIPMT 2005 | Motion in a Plane Question 39 | Physics

AIPMT 2005

MCQ (Single Correct Answer)

-1

If a vector $$2\widehat i + 3\widehat j + 8\widehat k$$ is perpendicular to the vector $$4\widehat j - 4\widehat i + \alpha \widehat k,$$ then the value of $$\alpha $$ is

1/2

$$-$$ 1/2

$$-$$ 1.

AIPMT 2005

MCQ (Single Correct Answer)

-1

If the angle between the vectors $$\overrightarrow A $$ and $$\overrightarrow B $$ is $$\theta $$, the value of the product $$\left( {\overrightarrow B \times \overrightarrow A } \right).\overrightarrow A $$ is equal to

BA²sin$$\theta $$

BA²cos$$\theta $$

BA²sin$$\theta $$cos$$\theta $$

zero.

AIPMT 2005

MCQ (Single Correct Answer)

-1

Two boys are standing at the ends A and B of a ground where AB = a. The boy at B starts running in a direction perpendicular to AB with velocity v₁. The boy at A starts running simultaneously with velocity v and catches the other in a time t, where t is

$${a \over {\sqrt {{v^2} + {v_1}^2} }}$$

$${a \over {v + {v_1}}}$$

$${a \over {v - {v_1}}}$$

$$\sqrt {{a \over {{v^2} - {v_1}^2}}} $$

AIPMT 2004

MCQ (Single Correct Answer)

-1

If $$\left| {\overrightarrow A \times \overrightarrow B } \right| = \sqrt 3 \overrightarrow A .\overrightarrow B $$ then the value of $$\left| {\overrightarrow A + \overrightarrow B } \right|$$ is

(A² + b² + AB)^1/2

$${\left( {{A^2} + {B^2} + {{AB} \over {\sqrt 3 }}} \right)^{1/2}}$$

A + B

(A² + B² + $${\sqrt 3 }$$AB)^1/2.

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