List of practice Questions

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?

A person of mass $60\,kg$ is inside a lift of mass $940\,kg$ and presses the button on control panel. The lift starts moving upwards with an acceleration $1.0 \,m/s^2$. If $g = 10\, ms^{-2}$, the tension in the supporting cable is

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 :

Electrovalent compounds are made up of

A lot of 12 bulbs contains 4 defective bulbs. Three bulbs are drawn at random from the lot, one after the other. The probability that all three are non-defective is

In the given circuit the reading of voltmeter $V_1$ and $V_2$ are $300$ volts each. The reading of the voltmeter $V_3$ and ammeter $A$ are respectively

$\int 4 \cos \left(x + \frac{\pi}{6}\right) \cos 2x . \cos\left(\frac{5\pi}{6} + x\right)dx $

$B_1$, $B_2$ and $B_3$ are the three identical bulbs connected to a battery of steady e.m.f. with key $K$ closed. What happens to the brightness of the bulbs $B_1$ and $B_2$ when the key is opened?

A train travels a distance of 300 km at a constant speed. If the speed of the train is increased by 5 km an hour the journey would have taken 2 h less. The original speed of the train was

Select the alternative that logically follows the two given statements:
Some rocks are not tables.
Some rocks are balloons.