Q.1
The number of significant figures in 0.06900 is
  • 4
  • 3
  • 5
  • 2
Q.2
Consider the following equation of Bernoulli’s theorem $P=\frac{1}{2}\rho v^2+\rho gh=K(conatant)$ The dimensions of K/P are same as that of which of the following?
  • Thrust
  • Angle
  • Pressure
  • Coefficient of viscosity
Q.3
The number of significant figures in 3400 is
  • 12
  • 6
  • 7
  • 2
Q.4
Measure of two quantities along with the precision of respective measuring instrument is $A=2.5\ m/s\pm 0.5\ m/s$ $A=0.10\ m/s\pm 0.01\ m/s$ The value of A B will be
  • (0.25 ± 0.135) m
  • (0.25 ± 0.05) m
  • (0.25 ± 0.5) m
  • (0.25 ± 0.08) m
Q.5
In the following questions, a statement of assertion is followed by a statement of reason. You are required to choose the correct one out of the given five responses and mark it as (a) If both assertion and reason are true and reason is the correct explanation of the assertion. (b) If both assertion and reason are true but reason is not correct explanation of the assertion. (c) If assertion is true, but reason is false. (d) If both assertion and reason are false. (e) If reason is true but assertion is false. Assertion: SI units are logical and coherent. Reason: SI system of units is a rationalised system.
  • a
  • b
  • c
  • d
  • e
Q.6
In the following questions, a statement of assertion is followed by a statement of reason. You are required to choose the correct one out of the given five responses and mark it as (a) If both assertion and reason are true and reason is the correct explanation of the assertion. (b) If both assertion and reason are true but reason is not correct explanation of the assertion. (c) If assertion is true, but reason is false. (d) If both assertion and reason are false. (e) If reason is true but assertion is false. Assertion: The dimensional formula for product of resistance and conductance is same as for dielectric constant. Reason: Both have dimensions of time constant.
  • a
  • b
  • c
  • d
  • e
Q.7
The dimensional formula of magnetic flux is
  • $[M^0L^{-2}T^{-2}A^{-2}]$
  • $[{\rm ML}^2T^{-1}A^3]$
  • $\left[{\rm ML}^2T^{-2}A^{-1}\right]$
  • $[{\rm ML}^0T^{-2}A^{-2}]$
Q.8
Which of the following group the different dimensions?
  • Potential difference, EMF, voltage
  • Heat, energy, work-done
  • Dipole moment, electric-flux, electric field
  • Pressure, stress, Young’s modulus
Q.9
The dimensions of $\frac{1}{\sqrt{\mu_0\varepsilon_0}}$ are
  • $[I^0M^0L^{-1}T^1]$
  • $[I^2M^4L^{-3}T^1]$
  • $\left[I^0M^0L^1T^{-1}\right]$
  • $\left[I^{-2}T^{-2}L^1M^1\right]$
Q.10
What are the dimensions of electrical permittivity?
  • $M^{-1}L^2T^3Q^{-1}$
  • $M^{-2}L^{-3}T^2Q^2$
  • ${\rm ML}^{-2}T^2Q^{-2}$
  • $M^{-1}L^3T^2Q^{-2}$
Q.11
Which of the following pair has different dimensions?
  • Electric pressure, energy density
  • Intensity, $\epsilon_0{E_0}^2c$
  • Reynold’s number and time constant
  • Work, Torque
Q.12
The pressure on a square plate is measured by measuring the force on the plate and the length of the sides of the plate by using the formula $p =\frac{F}{l^2}$. If the maximum errors in the measurement of force and length are 4% and 2% respectively, then the maximum error in the measurement of pressure is
  • 2%
  • 8%
  • 1%
  • 10%
Q.13
The heat produced in a long wire is charactrised by resistance, current and time through which the current passes. If the errors in measuring these quatities are respectively 1%, 2% and 1%, then total error in calculating the energy produced is
  • 4%
  • 6%
  • 8%
  • 3%
Q.14
If the energy $E=G^ph^qc^r$ where $G$ is the universal gravitational constant, $h$ is the Planck’s constant and $c$ is the velocity of light, then the values of $p$, $q$ and $r$ are, respectively
  • –1/2, 1/2 and 3/2
  • 1/2, –1/2 and –5/2
  • 1/2, –1/2 and –3/2
  • –1/2, 1/2 and 5/2
Q.15
“Parsec” is the unit of
  • time
  • distance
  • angular acceleration
  • frequency
0 h : 0 m : 1 s