Units and Measu...

The dimension of $$ (\mu _{ 0 }\epsilon _{ 0 })^{-1/2} $$ are:

The electric field in a certain region is given by $$ \overrightarrow E=( \frac {K}{x^3}) \hat i $$. the dimension of K are:-

A thermometer reads 0$$^{o}$$C as 10 $$^{o}$$C and 100$$^{o}$$C as 90$$^{o}$$C then 
Find the correct temperature if the thermometer reads 20$$^{o}$$C

A particle is moving with a velocity $$35\ m/s$$ along positive x-axis.It's acceleration is towards negative X-axis with the magnitude $$4m/s^ {2}$$ then the distance covered by the particle in the $$9th$$ second:-

The pair of physical quantities, that have difference dimensions is 

The vector sum of three forces having magnitudes $$ | \overrightarrow F_1 | = 100 N $$,  $$ | \overrightarrow F_2 | = 80 N $$ &  $$ | \overrightarrow F_3 | = 60 N $$ acting on a particle is zero. the angle between $$ \overrightarrow F_1$$  & $$ \overrightarrow F_2 $$ is nearly:-

Two constant force $$ \overrightarrow F_1 and \overrightarrow F_2 $$ acts on a body.these forces displaces the body from point P(1, -2, 3) to Q (2, 3, 7 ) in 2s starting from rest.force $$\overrightarrow F_1 $$ is of magnitude 9 N and acting along vector $$ ( 2 \hat i - 2 \hat j + \hat k ) $$ . the positions are in meter. find work done by $$ \overrightarrow F_1 $$.

A force is given by $$F = at + b{t^2}$$, where $$t$$ is time, the dimensions of $$a$$ and $$b$$ are respectively :

The radius of a sphere is measured to be $$(4.0 +2.0)$$ cm the maximum percentage error in the measurement of the volume of the sphere is 

If the constant of gravitation $$(G)$$, Planck's constant $$(h)$$ and the velocity of light $$(c)$$ be chosen as fundamental units. The dimension of the radius of gyration is