A physical quantity is one which
  • cannot be measured
  • can be measured
  • is a scalar quantity
  • is a vector quantity
The unit of speed is a
  • derived unit
  • neither fundamental nor derived
  • cannot say
  • fundamental unit
In SI units, all energies are measured in
  • newtons
  • watts
  • none of these
  • joules
What is the SI unit of Planck’s constant?
  • joule second
  • watt second
  • joule per second
  • watt per second
The error in the measurement of the radius of a sphere is 1%. The error in the measurement of the volume is
  • 5%
  • 9%
  • 1%
  • 3%
The energy $E$ of a particle at position $x$ at time $t$ is given by $E=\frac{a}{t\left(b+x^2\right)}$ where $a$ and $b$ are constants. The dimensional formula of $a$ is
  • \(ML^2T^{-1}\)
  • \(ML^3T^{-1}\)
  • \(ML^4T^{-1}\)
  • \(MLT^{-1}\)
The diameter of a wire is measured with a screw gauge having 50 divisions on a circular scale and by one complete rotation of circular scale, the main scale moves 0.5mm. If the reading of the screw gauge is 0.250 cm. The minimum percentage error in the reading will be
  • 4
  • 5
  • 0.4
  • 0.8
A force F is given by \(F=at+{\rm bt}^2\) where $t$ is time, what are the dimension of $a$ and $b$?
  • $[{ ML}^{-3}T,\ { MLT}^{-4}]$
  • $[{ MLT}^{-3},\ { ML}^2T^4]$
  • $\left[MLT^{-1},\ {MLT}^0\right]$
  • $\left[{ MLT}^{-4},\ { MLT}^{-1}\right]$
The physical quantities not having same dimensions are
  • momentum and Planck’s constant
  • speed and \((\mu_0 \varepsilon_0)^{-1/2}\)
  • torque and work
  • stress and Young’s modulus
The period of oscillation of a simple pendulum is $T=2\pi\sqrt{\frac{L}{g}}$ Measured value of L is $20.0\ cm$ know to $1\ mm$ accuracy and time for $100$ oscillations of the pendulum is found to be $90\ s$ using a wristwatch of $1 s$ resolution. The accuracy in the determination of $g$ is
  • 6%
  • 1%
  • 3%
  • 5%
0 h : 0 m : 1 s

Answered Not Answered Not Visited Correct : 0 Incorrect : 0