physics quiz of class 10

y= x^2 +2 , the unit of y is meter then the dimensional formula of x is

• $L^{\frac{1}{2\ }}$

• $L^2$

• $\frac{1}{L}$

• None

Candela is the unit of

• Electric intensity

• sound intensity

• luminous intensity

• none of these

Two quantities A and B have different dimensions. Which mathematical operation given below is not physically meaningful

• A/B

• A+B

• A-B

• None of these

A student while doing an experiment finds that the velocity of an object varies with time and it can be expressed as equation:

v = Xt^2 + Yt +Z .

If units of v and t are expressed in terms of SI units, then the dimensions of constants X, Y and Z in the given equation are respectively

• (0,1 -3),( 0,1,-2),( 0,1,-1)

• ( 0,1,-1),( 0,1,-2),(0,1 -3)

• (0,1 -3),( 0,1,-1),( 0,1,-2),

• none

The time dependence of physical quantity P is found to be of the form  $P=P_{\degree}e^{–αt^2}$    Where ‘t’ is the time and α is some constant. Then the constant α will 

• be dimensionless

•  have dimensions of T^(–2)

• have dimensions of P

• have dimensions of P multiplied by T^(–2)

Which of the following is a derived unit?

• metre

• second

• kilogram

• joule