List of practice Questions

_ _ _ _ _ _ _ _ _ _ _ _ _ are like new pages, which are added to separate different topics in a presentation.

Which of the following is NOT a characteristic of entrepreneurship?

Write the expanded form of FIGs.

A statement which conveys the exact message that you are trying to convey to the other person is called _ _ _ _ _ _ _ _ _ _ _ _ _ statement.

If \( S_1 \) is closed and \( S_2 \) open, \( \theta \) is 30° and if \( S_1 \) is open and \( S_2 \) closed then \( \theta \) is 60°. Then find \( 3L_2 - L_1 \), if \( C = 100 \mu F \).

Position of a particle is given by \( x = A \sin \left( 50t + \frac{\pi}{3} \right) \). If speed and acceleration become 0 for the first time at \( t_1 \) and \( t_2 \) sec respectively, then find \( t_1 \) and \( t_2 \) (in sec):

At any instant, if \( \vec{B} = -2 \times 10^{-7} \hat{j} \, \text{T} \) and \( \vec{C} \) is along the +x axis, then \( \vec{E} \) at this instant is:

If foot of the perpendicular from a point \( P(a,b,0) \) on the line \( \dfrac{x-1}{2}=\dfrac{y-2}{1}=\dfrac{z-\alpha}{3} \) is \( A \) and mid-point of \( AP \) is \( \left(0,\dfrac{3}{4},-\dfrac{1}{4}\right) \), then the value of \( \left(a^2+b^2+\alpha^2\right) \) is -

A hollow cylinder of radius 1m is rotating with angular velocity \( \omega = 10 \) rad/sec. Find minimum coefficient of friction \( \mu \) so that the block remains at rest w.r.t. the cylinder.

An air bubble of radius 1 mm is rising up with constant speed of 0.5 cm/s in a liquid of density \( \rho_{\text{liq}} = 2000 \, \text{kg/m}^3 \). Find the coefficient of viscosity \( \eta \) in poise.

Work function for an object is 2.3 eV. If maximum kinetic energy of ejected electrons is 0.18 eV, find wavelength \( \lambda \) of incident photon on object.

Find \( \frac{BE}{A} \) of \( {}^{83}\text{Bi}^{209} \).
Given: \( M_{\text{Bi}} = 208.9804 \, \text{amu}, \, m_p = 1.007276 \, \text{amu}, \, m_n = 1.008665 \, \text{amu}, \, 1 \, \text{amu} = 931 \, \text{MeV} \)

A screw gauge has a pitch of 0.1 mm and 100 divisions on its circular scale. When its both jaws touch, the fifth division of its circular scale coincides with zero. When a sphere is placed between the jaws, the reading of the linear scale is 5 mm and the 50th division of the circular scale coincides with zero of the main scale. Find the diameter of the sphere.

Find speed of 1 kg object when it reaches close to Earth's surface from a long distance after it is released from rest as shown in the diagram. [Given \( R_e = 6400 \, \text{km}, g_s = 9.8 \, \text{m/s}^2 \)]

Surface tension of soap bubble is 0.03 N/m. The work done in increasing the diameter of bubble from 2 cm to 6 cm is \( \alpha \pi \times 10^{-4} \) J. Find the value of \( \alpha \).

A paper is placed in front of lens at a distance 30 cm, such that paper gets burned in minimum time. Radius of curvature of bi-convex lens is 60 cm. If refractive index of lens is \( \mu = \frac{\alpha}{10} \), then value of \( \alpha \) is?

Consider Bohr's model of a H-atom. If magnetic field at center due to electron in 2\(^n\) orbit is \( B_1 \), and magnetic field due to electron in 4\(^t\) orbit is \( B_2 \). Find \( \frac{B_1}{B_2} \).

Force on a charge \( q = 10^{-9} \, \text{C} \) in uniform electric and magnetic fields is \( \vec{F} = (2 \times 10^{-10} \hat{i} + 3 \times 10^{-10} \hat{j}) \, \text{N} \).

Find the velocity (in m/s) of the charge if the electric field is \( 0.4 \hat{j} \, \text{V/m} \) and the magnetic field is \( 2 \times 10^{-3} \hat{k} \, \text{T} \).

There is a thin layer of refractive index \( \mu \) below the base of an equilateral prism. The path of a ray is shown in the figure. Find out \( \mu \).

If \( G \) is the Gravitational constant and \( h \) is Planck's constant, then the dimension of \( G \) is:

For given logic gate circuit, an equivalent gate will be

Find the ratio of electric flux passing through two spheres centered at the origin, having radii 4 m and 6 m respectively, with charges \( q_1 = 8 \, \mu C \) and \( q_2 = 2 \, \mu C \) respectively.

Side of square is \( L \) and \( R \ll L \).
Find mutual inductance of the system shown in the figure.

As shown in the figure in YDSE experiment, if intensity is \( \frac{3}{4} \) of maximum intensity at point P, and path difference at point 'P' is \( \Delta x = \frac{\lambda}{\alpha} \). Find the value of "α". (where \( \lambda \) is wavelength of light)

An ideal gas of 5 moles has \( C_p = 8 \, \text{cal/mol}^\circ \text{C} \). If its temperature changes from 10°C to 20°C, then calculate the change in its internal energy (in cal).