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Mathematics in Physics question bank (Physics)

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Q1.

If $\vec{A} = \vec{B} + \vec{C}$ and magnitudes of $\vec{A}, \vec{B}$ and $\vec{C}$ are 5, 4 and 3 units respectively. The angle between $\vec{A}$ and $\vec{C}$ is

(A)

$\left(\dfrac{\pi}{2}\right)^c$

(B)

$\cos^{-1}\left({4}/{5}\right)$

(C)

$\sin^{-1}\left({3}/{4}\right)$

(D)

$\cos^{-1}\left({3}/{5}\right)$

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Q2.

A body travels uniformly a distance of $(20 \pm 0.2)$ m in a time $(4.0 \pm 0.4)$ s. The percentage error in the value of velocity is

(A)

$8\ \%$

(B)

$11\ \%$

(C)

$4\ \%$

(D)

$16\ \%$

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