List of practice Questions

A motor cycle is going on an overbridge of radius $R$. The driver maintains a constant speed. As the motor cycle is ascending on the overbridge, the normal force on it
A coil of inductance 300 mH and resistance 2 $\Omega$ is connected to a source of voltage 2 V. The current reaches half of its steady state value in
Hard X-rays for the study of fractures in bones should have a minimum wavelength of $10^{-11}$ m. The accelerating voltage for electrons in X-ray machine should be
Interference was observed in a chamber when air was present. Now, the chamber is evacuated and if the same light is used, a careful observation will show
A leaf which contains only green pigments, is illuminated by a laser light of wavelength 0.6328 mm. It would appear to be
The north pole of a long horizontal bar magnet is being brought closer to a vertical conducting plane along the perpendicular direction. The direction of the induced current in the conducting plane will be
The respective speeds of five molecules are 2, 1.5, 1.6, 1.6 and $1.2 \, km \, s^{-1}$, the most probable speed in ${km\, s^{-1}}$ will be
The displacement of a particle is given by $x = a_0 + \frac{a_1 t}{2} - \frac{a_2 t^2}{3}$, what is its acceletion ?

The photoelectric threshold wavelength for silver is \($\lambda_{0}$\) The energy of the electron ejected from the surface of silver by an incident wavelength \(\lambda (\lambda <\lambda _0)\)

Which one of the following reactions is an example of oxidative decarboxylation?
Two thin lenses have a combined power of $+9 D$. When they are separated by a distance of $20\, cm$, their equivalent power becomes $ +\frac{27}{5} D$. Their individual powers (in diopters) are
The yellow precipitate formed during the chromyl chloride test is chemically _____
The IUPAC name of these is
The displacement-time graphs of two moving particles make angles of $30^{\circ}$ and $45^{\circ}$ with the time $X$ -axis The ratio of their velocities is
In a typical Mendelian cross which is a dihybrid cross, one parent is homozygous for both dominant traits and another parent is homozygous for both recessive traits. In the $f_2$ generation, both parental combinations and recombinations appear. The phenotypic ratio of parental combinations to recombinations is ..................
If the scattering intensity of a liquid is $8$ units at a wavelength of $500\, nm$, then the scattering intensity at a wavelength of $400\, nm$ will be approximately
A solid sphere of mass $m$ rolls down an inclined plane without slipping, starting from rest at the top of an inclined plane. The linear speed of the sphere at the bottom of the inclined plane is $v$. The kinetic energy of the sphere at the bottom is
Flash spectrum confirms a/an
Which one of the following correctly represents the normal adult human dental formula?
Force $F$ on a particle moving in a straight line varies with distance $d$ as shown in figure. The work done on the particle during its displacement of $12\, m$ is
Charge $q$ is uniformly spread on a thin ring of radius $R$. The ring rotates about its axis with a uniform frequency $f\,Hz$ . The magnitude of magnetic induction at the center of the ring is
A planet moving along an elliptical orbit is closest to the sun at a distance $r_{1}$ and farthest away at a distance of $r _{2}$. If $v _{1}$ and $v _{2}$ are the linear velocities at these points respectively, then the ratio $\frac{ v _{1}}{ v _{2}}$ is:
A particle of mass $M$ is situated at the centre of a spherical shell of same mass and radius $a$. The magnitude of the gravitational potential at a point situated at $a/2$ distance from the centre, will be :

Illustrate in perspective, a composition with a CUP, SAUCER and a SPOON placed on a flat surface. The materials are: 
Cup: Rubber 
Saucer: Glass 
Spoon: Wood 
Instructions: 
The drawing needs to be done freehand using a blue pencil. 
Do not use any drawing instruments (no rulers, compasses, stencils, etc.). 
Evaluation Criteria: 
Composition and correctness of perspective 
Quality of surface representation through shading 
Quality of lines 
Correctness of relative proportions 
 

Below is a schematic diagram of a room 2m long, 2m wide, and 3m high. An ant is at position A on the ground and a lizard is at position B on the ceiling. 
Calculate the shortest distance the lizard has to travel to eat the ant. Write the answer in the box provided.