Home
Class 12
PHYSICS
In the following equations, the distance...

In the following equations, the distance x is in metres, the time t in seconds and the velocity v in `(metres)/(second)`. What are the SI units of the constants `C_1` and `C_2` ?
(a). `v^2=2C_1x`
(b). `x=C_1cosC_2t`
(c ). `v=C_1e^(-C_2t)`

Text Solution

AI Generated Solution

To find the SI units of the constants \( C_1 \) and \( C_2 \) in the given equations, we will analyze each equation step by step. ### Step 1: Analyzing the first equation \( v^2 = 2C_1x \) 1. **Identify the units on the left-hand side (LHS)**: - The unit of velocity \( v \) is \( \text{m/s} \). - Therefore, the unit of \( v^2 \) is \( \left(\text{m/s}\right)^2 = \text{m}^2/\text{s}^2 \). ...
Promotional Banner

Similar Questions

Explore conceptually related problems

In S=a+bt+ct^2 . S is measured in metres and t in seconds. The unit of c is

The velocity (V) of a particle (in cm/s) is given in terms of time (t) in sec by the equation V=at+(b)/(c+t) . The dimensions of a, b and c are

The velocity of a body is given by v=At^2+Bt+C . If v and t are expressed in SI, what are the units of A,B and C?

The velocity v of the a particle depends upen the time t according to the equation v= a + bt + ( c) /(d+1) Write the dimension of a, b,c and d.

Velocity v is given by v=at^(2)+bt+c , where t is time. What are the dimensions of a, b and c respectively?

Prove the following identity: (s e c A\ s e c B+t a n AtanB)^2-(s e c A\ t a n B+t a n A s e c B)^2=1

Find the equations of the normal to the curve x y=c^2 at (c t ,\ c//t) on it.

In the following circuit, the switch S is closed at t = 0. The charge on the capacitor C_(1) as a function of time will be given by (C_(eq)=(C_(1)C_(2))/(C_(1)+C_(2)))

The volume V of a liquid crossing through a tube is related to the area of cross-section A, velocity v and time t as V alpha A^a v^b t^c which of the following is correct ( given a != 1 )

The electric field in a region is given by oversettoE=(Ax+B)hati Where E is in NC^(-) and x is in metres. The values of constants are A=20SI Unit and B==10SI unit. If the potential at x=1 is V_(1) and that at x=-5 is V_(2) then V_(1)-V_(2) is: