Test Details

Units and Measurement

Feb 03, 9:00 PM

45 minutes

Feb 04, 12:00 PM

60.0 marks

MCQ

35 questions

19891998

mentor of Maths and science with diverse perspective

Class Details

Physics

11th Physics Intro

Physics

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Question Text

Question 2 :
If 'Muscular strength' times 'Speed' is equal to power, then dimensional formula for 'Muscular strength' is:

Question 3 :
According to theory of significant figures the value of $\sqrt { 3.0 } $ is:

Question 4 :
The thickness of a newspaper sheet is of the order of

Question 5 :
In planetary motion the areal velocity of position vector of a planet depends on angular velocity $\omega$ and the distance $r$ of the planet from sun. If so, the correct relation for areal velocity is:

Question 6 :
With due regard to significant figures, the value of $ 46.7-10.04  $ is :

Question 8 :
If $I$ is the moment of inertia and $\omega$ the angular velocity, what is the dimensional formula of rotational kinetic energy, $\dfrac {1}{2}I\omega^2$?

Question 9 :
The prefix used for denoting an order of magnitude of $\displaystyle { 10 }^{ 6 }$ is ___________.

Question 11 :
The volume enclosed by the cylinder of diameter $1.06\ m$ and height 7.2 m to the correct no. of the significant figure is:

Question 15 :
Which of the following pair of quantities do not have the same dimensions?

Question 16 :
In a burette, the zero mark on the graduation scale is near its mouth.

Question 17 :
Which of the following does not give the unit of energy ? 

Question 18 :
Subtract $0.2\;J$ from $7.26\;J$ and express the result with correct number of significant figures.

Question 20 :
The dimensions of quantity $ \dfrac{1}{\mu_0} (\vec{E} \times \vec{B})$ are:$ [\mu_0= $ permeability of free space, $ \displaystyle E^1= $ electric field strength, $ \displaystyle B^1=$ magnetic  field  induction $] $ 

Question 21 :
The addition of two numbers $\displaystyle 6.75\times 10^{3}$ cm and $\displaystyle 4.52 \times 10^{2}$ cm with regard to significant figures is:

Question 22 :
Three measurements 7.1J, 7.2J and 6.7J are made as experiment and added the result with correct number of significant figures is

Question 23 :
Using the principle of homogeneity of dimensions, which of the following is correct?

Question 24 :
The radius of a sphere is 1.41 cm. Its volume to an appropriate number of significant figures is then

Question 25 :
Volume of a single liquid drop can be measured using :

Question 26 :
Add $3.8 \times 10^{-6}$  to $4.2 \times 10^{-5}$ with due regard to significant figures.

Question 27 :
The Van der Waal's equation of state for some gases can be expressed as: $(P + \dfrac{a}{V^2})(V - b) = RT$ where P is the pressure, V is the molar volume, and T is the absolute temperature of the given sample of gas and a,b and R are constants. In the above problem, the dimensional formula for RT is same as that of

Question 28 :
Assertion: The value of $1$ Micron is equal to $10^{-5}m$ Reason: Micron is the unit for measuring microscopic distance.

Question 29 :
A large fluid star oscillates in shape under the influence of its own gravitational field. Using the method of dimensions, obtain a relation for the period of oscillation (T) in terms of a radius (R) of the star, its density ($\rho$) and universal gravitational constant (G) is :

Question 31 :
The period of oscillation of a simple pendulum is $\displaystyle T = 2 \pi \sqrt {\dfrac {L} {g}}$. Measured of $L$ is $20.0\ cm$ known to $1\ mm$ accuracy and time for $100$ oscillations of the pendulum is found to be $90\ s$ using a wrist watch of $1\ s$ resolution. The accuracy in the determination of $g$?

Question 33 :
 Pressure depends on distance as, $\displaystyle \mathrm{p}=\frac{\alpha}{\beta}\exp(-\frac{\alpha \mathrm{z}}{\mathrm{k}\theta})$, where $\alpha,\ \beta$ are constants, $\mathrm{z}$ is distance, $\mathrm{k}$ is Boltzman's constant and $\theta$ is temperature. The dimension of $\beta$ are :

Question 34 :
The refractive index ($\mu$) of glass is found to have the values $1.49, 1.50, 1.52, 1.54\ and\ 1.48$. Calculate percentage error.

Question 35 :
A quantity $f$ is given by $f=\sqrt{\dfrac{hc^5}{G}}$ where c is speed of light, G universal gravitational constant and h is the Planck's constant. Dimension of $f$ is that of?

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