The velocity of a particle v at an instant t is given by v = at + bt2 the dimension of b is
[L]
[LT-1]
[LT-2]
[LT-3]
In a slide caliper, (m + 1) number of vernier divisions is equal to m number of smallest main scale divisions. If d unit is the magnitude of the smallest main scale division, then the magnitude of the vernier constant is
d / (m + 1) unit
d / m unit
md / (m + 1) unit
(m + 1)d / m unit
A.
d / (m + 1) unit
(m + 1) vernier division = m main scale division
One division on vernier scale = division on main scale.
Vernier constant =
In an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively. Quantity P is calculated as follows
, Error in P is
14 %
10 %
7 %
4 %
In which of the following pairs, the two physical quantities have different dimensions ?
Planck's constant and angular momentum
Impulse and linear momentum
Moment of inertia and moment of a force
Energy and torque
If n denotes a positive integer, h the Planck's constant, q the charge and B the magnetic field, then the quantity has the dimension of
area
length
speed
acceleration