Match List I with List II .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px; overflow:hidden;padding:10px 5px;word-break:normal;} .tg th{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px; font-weight:normal;overflow:hidden;padding:10px 5px;word-break:normal;} .tg .tg-c3ow{border-color:inherit;text-align:center;vertical-align:top} .tg .tg-7btt{border-color:inherit;font-weight:bold;text-align:center;vertical-align:top} .tg .tg-0pky{border-color:inherit;text-align:left;vertical-align:top} List I List II A. Young's Modulus (Y) I. $$[\mathrm{M}{\mathrm{L}}^{-1}{\mathrm{T}}^{-1}]$$ B. Co-efficient of Viscosity ($$\eta$$) II. $$[\mathrm{M}{\mathrm{L}}^2{\mathrm{T}}^{-1}]$$ C. Planck's Constant (h) III. $$[\mathrm{M}{\mathrm{L}}^{-1}{\mathrm{T}}^{-2}]$$ D. Work function ($$\phi$$) IV. $$[\mathrm{M}{\mathrm{L}}^2{\mathrm{T}}^{-2}]$$ Choose the correct answer from the options given below :

Match List I with List II .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px; overflow:hidden;padding:10px 5px;word-break:normal;} .tg th{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px; font-weight:normal;overflow:hidden;padding:10px 5px;word-break:normal;} .tg .tg-c3ow{border-color:inherit;text-align:center;vertical-align:top} .tg .tg-7btt{border-color:inherit;font-weight:bold;text-align:center;vertical-align:top} .tg .tg-0pky{border-color:inherit;text-align:left;vertical-align:top} List-I List-II A. Planck's constant (h) I. $$[{\mathrm{M}}^1{\mathrm{L}}^2{\mathrm{T}}^{-2}]$$ B. Stopping potential (Vs) II. $$[{\mathrm{M}}^1{\mathrm{L}}^1{\mathrm{T}}^{-1}]$$ C. Work function ($$\varphi$$) III. $$[{\mathrm{M}}^1{\mathrm{L}}^2{\mathrm{T}}^{-1}]$$ D. Momentum (p) IV. $$[{\mathrm{M}}^1{\mathrm{L}}^2{\mathrm{T}}^{-3}{\mathrm{A}}^{-1}]$$ Choose the correct answer from the options given below :

The speed of a wave produced in water is given by $v={\lambda }^a{g}^b{\rho }^c$. Where $\lambda ,g$ and $\rho$ are wavelength of wave, acceleration due to gravity and density of water respectively. The values of $a, b$ and $c$ respectively, are :

In the equation $$\left[X+\frac{a}{Y^2}\right][Y-b]=\mathrm{R}T,X$$ is pressure, $$Y$$ is volume, $$\mathrm{R}$$ is universal gas constant and $$T$$ is temperature. The physical quantity equivalent to the ratio $$\frac{a}{b}$$ is:

A body of mass $$(5\pm 0.5)\mathrm{kg}$$ is moving with a velocity of $$(20\pm 0.4)\mathrm{m}/\mathrm{s}$$. Its kinetic energy will be

Match List I with List II .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px; overflow:hidden;padding:10px 5px;word-break:normal;} .tg th{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px; font-weight:normal;overflow:hidden;padding:10px 5px;word-break:normal;} .tg .tg-c3ow{border-color:inherit;text-align:center;vertical-align:top} .tg .tg-7btt{border-color:inherit;font-weight:bold;text-align:center;vertical-align:top} .tg .tg-0pky{border-color:inherit;text-align:left;vertical-align:top} LIST I LIST II A. Spring constant I. $$[{\mathrm{T}}^{-1}]$$ B. Angular speed II. $$[\mathrm{M}{\mathrm{T}}^{-2}]$$ C. Angular momentum III. $$[\mathrm{M}{\mathrm{L}}^2]$$ D. Moment of inertia IV. $$[\mathrm{M}{\mathrm{L}}^2{\mathrm{T}}^{-1}]$$ Choose the correct answer from the options given below:

If force (F), velocity (V) and time (T) are considered as fundamental physical quantity, then dimensional formula of density will be :

Given below are two statements : Statements I : Astronomical unit (Au), Parsec (Pc) and Light year (ly) are units for measuring astronomical distances. Statements II : $$\mathrm{Au} In the light of the above statements, choose the most appropriate answer from the options given below:

In an experiment with vernier callipers of least count $$0.1\mathrm{mm}$$, when two jaws are joined together the zero of vernier scale lies right to the zero of the main scale and 6th division of vernier scale coincides with the main scale division. While measuring the diameter of a spherical bob, the zero of vernier scale lies in between $$3.2\mathrm{cm}$$ and $$3.3\mathrm{cm}$$ marks, and 4th division of vernier scale coincides with the main scale division. The diameter of bob is measured as

A physical quantity P is given as P = {{{a^2}{b^3}} \over {c\sqrt d }} The percentage error in the measurement of a, b, c and d are 1%, 2%, 3% and 4% respectively. The percentage error in the measurement of quantity P will be

Match List I with List II .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px; overflow:hidden;padding:10px 5px;word-break:normal;} .tg th{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px; font-weight:normal;overflow:hidden;padding:10px 5px;word-break:normal;} .tg .tg-baqh{text-align:center;vertical-align:top} .tg .tg-amwm{font-weight:bold;text-align:center;vertical-align:top} .tg .tg-0lax{text-align:left;vertical-align:top} LIST I LIST II A. Torque I. $$\mathrm{M}{\mathrm{L}}^{-2}{\mathrm{T}}^{-2}$$ B. Stress II. $$\mathrm{M}{\mathrm{L}}^2{\mathrm{T}}^{-2}$$ C. Pressure gradient III. $$\mathrm{M}{\mathrm{L}}^{-1}{\mathrm{T}}^{-1}$$ D. Coefficient of viscosity IV. $$\mathrm{M}{\mathrm{L}}^{-1}{\mathrm{T}}^{-2}$$ Choose the correct answer from the options given below:

Dimension of $$\frac{1}{{\mu }_0{\in }_0}$$ should be equal to

A cylindrical wire of mass $$(0.4\pm 0.01)\mathrm{g}$$ has length $$(8\pm 0.04)\mathrm{cm}$$ and radius $$(6\pm 0.03)\mathrm{mm}$$. The maximum error in its density will be:

Two resistances are given as $${\mathrm{R}}_1=(10\pm 0.5)\Omega$$ and $${\mathrm{R}}_2=(15\pm 0.5)\Omega$$. The percentage error in the measurement of equivalent resistance when they are connected in parallel is -

Two objects A and B are placed at 15 cm and 25 cm from the pole in front of a concave mirror having radius of curvature 40 cm. The distance between images formed by the mirror is _______________.

A microscope is focused on an object at the bottom of a bucket. If liquid with refractive index $\frac{5}{3}$ is poured inside the bucket, then the microscope has to be raised by $30\mathrm{cm}$ to focus the object again. The height of the liquid in the bucket is :

A thin prism $P_1$ with an angle $6^{\circ }$ and made of glass of refractive index $1.54$ is combined with another prism $P_2$ made from glass of refractive index $1.72$ to produce dispersion without average deviation. The angle of prism $P_2$ is

A person has been using spectacles of power $$-1.0$$ dioptre for distant vision and a separate reading glass of power $$2.0$$ dioptres. What is the least distance of distinct vision for this person :

A scientist is observing a bacteria through a compound microscope. For better analysis and to improve its resolving power he should. (Select the best option)

The light rays from an object have been reflected towards an observer from a standard flat mirror, the image observed by the observer are :- A. Real B. Erect C. Smaller in size then object D. Laterally inverted Choose the most appropriate answer from the options given below :