Question

Error in the measurement of radius of a sphere is 1%. Then the error in the measurement of volume is

• A. 1%
• B. 5%
• C. 3%
• D. 8 %

Answer 1

Answer: (D)

8 %

Answer 2

Only gravitational constant has both magnitude and dimensions, all other being the ratio of two similar quantities are dimensionless

F = G$\frac{m_{1}m_{2}}{r^{2}}$

∴ [G] = $\left\lbrack \frac{Fr^{2}}{m_{1}m_{2}} \right\rbrack$

Hence (4) is correct.