A quantity is represented by \( \mathrm{X}=M^{\mathrm{a}} L^{\mathrm{b}} T^{\mathrm{c}} \). The ....

Channel:
Subscribers:
451,000
Published on ● Video Link: https://www.youtube.com/watch?v=YQ8vAe4_ajc



Duration: 2:41
0 views
0


Question A quantity is represented by \( \mathrm{X}=M^{\mathrm{a}} L^{\mathrm{b}} T^{\mathrm{c}} \). The percentage error in measurement of \( \mathrm{M}, \mathrm{L} \) and \( \mathrm{T} \) are \( \alpha \%, \beta \% \) and \( \gamma \% \) respectively. The percentage error in \( \mathrm{X} \) would be
(A) \( (\alpha a+\beta b+\gamma c) \% \)
(B) \( (\alpha a-\beta b+\gamma c)^{\%} \)
(C) \( (\alpha a-\beta b-\gamma c) \% \)
(D) None of thesešŸ“²PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2024-01-29In the relation: \( \frac{d y}{d t}=2 \omega \sin \left(\omega t+\phi_{0}\right) \), the dimensi....
2024-01-29The respective number of significant figures for the numbers \( 6.320,6.032,0.0006032 \) ar....
2024-01-29The mass of a box measured by a grocers balance is \( 2.3 \mathrm{~kg} \). Two gold pieces of ma....
2024-01-29Light year is a unit of....
2024-01-29The unit of potential energy is....
2024-01-29Parsec is a unit of....
2024-01-29\( 3.1421+0.241+0.09 \) is equal to (after rounding off two decimal place)....
2024-01-29Which of the following is the most precise instrument for measuring length?....
2024-01-29The external and internal radius of a hollow cylinder are measured to be \( (4.23 \pm 0.01)....
2024-01-29The radius of a ball is \( (5.4 \pm 0.2) \mathrm{cm} \). The percentage error in the volume of t....
2024-01-29A quantity is represented by \( \mathrm{X}=M^{\mathrm{a}} L^{\mathrm{b}} T^{\mathrm{c}} \). The ....
2024-01-29If main scale division of screw gauge is \( 1 \mathrm{~mm} \) and there 100 division on circular....
2024-01-29The method of dimensional analysis can be used to derive which of the following relations?....
2024-01-29Two quantities A and B have different dimensions. Which mathematical operation given below ....
2024-01-29In the measurement of a physical quantity \( \mathrm{X}= \) \( \frac{A^{2} B}{C^{1 / 3} D^{....
2024-01-29If \( x=a-b \), the maximum percentage error in the measurement of \( x \) will be....
2024-01-29If \( x=a b \), the maximum percentage error in the measurement of \( x \) will be:....
2024-01-29There is an error of \( 2 \% \) in the measurement of side of a cube. The percentage error in th....
2024-01-29Calculate the dimensional formula of energy from the equation \( E=\frac{1}{2} m v^{2} \).....
2024-01-29For \( 10^{(a t+3)} \), the dimension of \( a \) is....
2024-01-29If \( x=a t+b t^{2} \), where \( \mathrm{x} \) is in metre and \( t \) in hour \( (h r) \),&nbsp....