Question
If $P = \frac{{{A^3}}}{{{B^{5/2}}}}$ and $\Delta A$ is absolute error in $A$ and $\Delta B$ is absolute error in $B$ then absolute error $\Delta P$ in $P$ is
✓
Answer
Here $\frac{{\Delta P}}{P} = \pm \left( {3\frac{{\Delta A}}{A} + \frac{5}{2}\frac{{\Delta B}}{B}} \right)$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Two capillary tubes of same diameter are put vertically one each in two liquids whose relative densities are $0.8$ and $0.6$ and surface tensions are $60$ and $50$ dyne/cm respectively Ratio of heights of liquids in the two tubes $\frac{{{h_1}}}{{{h_2}}}$ is
→Water flows through the tube shown. Area of cross-section of wide and narrow part are $5$ $cm^2$ $\&$ $2$ $cm^2$. The rate of flow is $500$ $cm^3/sec$. Find difference in mercury level of $U-$ tube .......... $cm$
→The figure shows a man of mass $m$ standing at the end $A$ of a trolley of mass $M$ placed at rest on a smooth horizontal surface. The man starts moving towards the end $B$ with a velocity $u_{rel}$ with respect to the trolley. The length of the trolley is $L$. When the man starts moving, then the velocity of the trolley $v_2$ with respect to ground will be
→A stone is dropped from a certain height which can reach the ground in $5\, second$. If the stone is stopped after $3\, second$ of its fall and then allowed to fall again, then the time taken by the stone to reach the ground for the remaining distance is........$sec$
→If $R =$ universal gas constant, the amount of heat needed to raise the temperature of $2$ mole of an ideal monoatomic gas from $273K$ to $373K$ when no work is done ...... $R$
→An AC source is rated $222 \,V , 60 \,Hz$. The average voltage is calculated in a time interval of $16.67 \,ms$. It
→A block A with mass $100\, kg $ is resting on another block $B$ of mass $200\, kg$. As shown in figure a horizontal rope tied to a wall holds it. The coefficient of friction between $A$ and $B$ is $ 0.2 $ while coefficient of friction between $B$ and the ground is $0.3$. The minimum required force $F$ to start moving $B$ will be ........ $N$
→In a closed organ pipe of length $105 \,cm$, standing waves are set up corresponding to third overtone. What distance from the closed end, a pressure node is formed .............. $cm$
→If the equation of transverse wave is $Y = 2\sin (kx - 2t),$ then the maximum particle velocity is .... $units$
→A transmitting antenna is kept on the surface of the earth. The minimum height of receiving antenna required to receive the signal in line of sight at $4\,km$ distance from it is $x \times 10^{-2}\,m$. The value of $x$ is (Let. radius of earth $R =6400\,km$)
→