The time dependence of a physical quantity is given by \( P=P_{0} \exp \left(-\alpha \mathrm{t}^....

Channel:
PW Solutions
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=kMWUKTJTmHs


Category:
Let's Play
Duration: 0:41
0 views
0

Question The time dependence of a physical quantity is given by \( P=P_{0} \exp \left(-\alpha \mathrm{t}^{2}\right. \) ) [Where \( \alpha \) is a constant and \( t \) is time]. The constant \( \alpha \)
(A) Is dimensionless
(B) Has dimensions \( \left[T^{-2}\right] \)
(C) Has dimensions \( \left[T^{2}\right] \)
(D) Has dimensions of \( P \)📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2024-01-29If \( 'm' \) is the mass of a body, \( 'a' \) is amplitude of vibration, and '\( \omega \)' is t....
2024-01-29In \( S=a+b t+c t^{2}, S \) is measured in metres and \( t \) in seconds. The unit of \( c \) is....
2024-01-29The equation for the position of a train starting at \( x=0 \mathrm{~m} \) is given by \( x=\fra....
2024-01-29The angular wave number is defined as \( k=\frac{2 \pi}{\lambda} \). What are dimensions of \( k....
2024-01-29A physical quantity \( x \) depends on quantities \( y \) and \( z \) as follows : \( x=A y+B \t....
2024-01-29What is the dimension of the physical quantity \( \alpha \) in the equation, \( P=\frac{\text { ....
2024-01-29If energy \( (E) \), velocity \( (V) \) and time \( (T) \) are chosen as the fundamental quantit....
2024-01-29If \( L \) is the inductance, \( i \) is current in the circuit, \( \frac{1}{2} L i^{2} \) has t....
2024-01-29The physical quantities not having same dimensions are....
2024-01-29The dimension of time in Electrical intensity is....
2024-01-29The time dependence of a physical quantity is given by \( P=P_{0} \exp \left(-\alpha \mathrm{t}^....
2024-01-29Specific gravity has .......... dimension in mass, .............  dimensions in length and ....
2024-01-29Out of following four dimensional quantities, which one quantity is to be called a dimensional c....
2024-01-29The dimensional formula for pressure is:....
2024-01-29Dimensional formula \( M L^{-1} T^{-2} \) does not represent the physical quantity....
2024-01-29Which pair has the same dimensions....
2024-01-29Young's modulus of steel is \( 19 \times 10^{10} \mathrm{Nm}^{-2} \) its value dyne \( \mathrm{c....
2024-01-29The SI unit of length is based on:....
2024-01-29The viscosity of a liquid is \( 0.85 \mathrm{~kg} \mathrm{~m}^{-1} \mathrm{~s}^{-1} \). Its valu....
2024-01-29Which of the following is usually a derived quantity?....
2024-01-29A dimension less quantity-....