Mathematics in Physics

Three forces acting on a body are shown in the figure. To have the resultant force only along the $y$-direction, the magnitude of the minimum additional force needed is

Three forces acting on a body are shown in the figure. To have the resultant force only along the y-direction, the magnitude of the minimum additional force needed is

A metal wire has mass (0.4$\pm$0.002) g, radius (0.3$\pm$0.001) mm and length (5$\pm$0.02) cm. The maximum possible percentage error in the measurement of density will nearly be:

If vectors A$\rightarrow$=cos⁡$\omega$t i^+sin$\omega$t j^ and B$\rightarrow$=cos$\omega$t2 i^+sin⁡$\omega$t2 j^ are functions of time, then the value of t at which they are orthogonal to each other is:

The vectors $\vec{A}$ and $\vec{B}$ are such that $|\vec{A}+\vec{B}|=|\vec{A}-\vec{B}|$. The angle between the two vectors is:

$\vec{A}$ and $\overline{\mathrm{B}}$ are two vectors and $\theta$ is the angle between them, if $|\overrightarrow{\mathrm{A}} \times \overline{\mathrm{B}}|=$ $\sqrt{3}(\overrightarrow{\mathrm{A}} \cdot…

If $|\vec{A} \times \vec{B}|=\sqrt{3} \vec{A} \cdot \vec{B}$ then the value of $|\vec{A} + \vec{B}|$ is:

A particle moving with velocity V$\rightarrow$ is acted by three forces shown by the vector triangle PQR. The velocity of the particle will[image]

The area of a rectangular field (in m2) of length 55.3 m and breadth 25 m after rounding off the value for correct significant digits is:

Time intervals measured by a clock give the following readings: \$1.25s,1.24s,1.27s,1.21s$ and \$1.28s$. What is the percentage relative error of the observations?

Which of the following statement is not true?

The diameter of a spherical bob, when measured with vernier callipers yielded the following values: $3.33 \mathrm{~cm}$, $3.32 \mathrm{~cm}, 3.34 \mathrm{~cm}, 3.33 \mathrm{~cm}$ and $3.32 \mathrm{~cm}$. The mean…