List of practice Questions

In a certain type of code, 'they play cricket together' is written as ‘mv kb lb iv'; 'they score maximum points' is written as 'gb lb mb kv'; 'cricket score earned points' is written as 'mb gv kb kv' and 'points are earned together' is written as 'kv mv ob gv.'
What is the code for ‘earned maximum points’ ?

Expand the term ZIFT.

BRUSH UBRHS BUSRH SBUHR BSRUH Which of the following options comes next in the above sequence?

A moon completes one revolution around the Earth in $ 27 $ days. If the size (mass) of the moon becomes four times its original size, what will be the new time period?

The frequency of fifth harmonic of a closed pipe is equal to the frequency of third harmonic of an open pipe. If the length of the open pipe is 72 cm, then the length of the closed pipe is:

Wave picture of light has failed to explain
(1) photoelectric effect
(2) interference of light
(3) diffraction of light
(4) polarization of light

The path difference between two particles of a sound wave is $ 50 $ cm and the phase difference between them is $ 1.8\pi $. If the speed of sound in air is $ 340 $ m/s, the frequency of the sound wave is?

A source at rest emits sound waves of frequency $ 102 $ Hz. Two observers are moving away from the source of sound in opposite directions each with a speed of $ 10\% $ of the speed of sound. The ratio of the frequencies of sound heard by the observers is?

A prism having angle $\theta$ and refractive index of the material of prism ‘n’ are related by \[ \theta = 2\sin^{-1} \left( \frac{1}{\sqrt{n^2 + 1}} \right) \] - If the angle of minimum deviation is $60^\circ$, then the angle of the prism is

A polaroid sheet ‘P’ is placed on another similar polaroid sheet ‘Q’ such that the angle between their axes is $45^\circ$. - The ratio of the intensities of the light emerged from polaroid ‘Q’ and the unpolarised light incident on polaroid ‘P’ is

Two stretched strings A and B when vibrated together produce 4 beats per second. If the tension applied to string A increased, the number of beats produced per second is increased to 7. If the frequency of string B is 480 Hz initially, the frequency of string A is

The speed of a wave on a string is 150 ms$^{-1}$ when the tension is 120 N. The percentage increase in the tension in order to raise the wave speed by 20\% is

A string of length 25 cm and mass $ 10^{-3} $ kg is clamped at its ends. The tension in the string is 2.5 N. The identical wave pulses are generated at one end and at regular interval of time, $ \Delta t $. The minimum value of $ \Delta t $, so that a constructive interference takes place between successive pulses is:

Calculate the effective atomic number (EAN) of $ [Co(NH_3)_6]^{3+} $ ion.

(d) If vectors $ \mathbf{5i - \lambda j + 2k} $ and $ \mathbf{2i + 3j + 4k} $ are perpendicular, find $ \lambda $:

Explain the construction of a spherical wavefront by using Huygens' principle.

Radius of gyration $ K $ of a hollow cylinder of mass $ M $ and radius $ R $ about its long axis of symmetry is:

A thin uniform wire of mass $ m $ and linear mass density $ \rho $ is bent in the form of a circular loop. The moment of inertia of the loop about its diameter is:

The moment of inertia of a solid sphere about its diameter is 20 kg m². The moment of inertia of a thin spherical shell having the same mass and radius about its diameter is:

Three particles of each mass $ m $ are kept at the three vertices of an equilateral triangle of side $ 1 $. The moment of inertia of the system of the particles about any side of the triangle is:

Consider a uniformly dense spherical shell of inner radius $ a $ and outer radius $ b $. If $ M $ is the mass of the shell, the moment of inertia of the spherical shell about an axis passing through its center is:

A projectile is given an initial velocity of $(\hat{i} + \hat{j})$ m/s, where $\hat{i}$ is along the ground and $\hat{j}$ is along the vertical direction. The equation of its trajectory is $(g = 10 \, \text{m/s}^2)$.

A projectile is projected with a velocity of $ 20 \, {ms}^{-1} $ at an angle of 45° to the horizontal. After some time its velocity vector makes an angle of 30° to the horizontal. Its speed at this instant (in $ {ms}^{-1} $) is:

Path of projectile is given by the equation $ Y = Px - Qx^2 $, match the following accordingly (acceleration due to gravity = $ g $)

A bowling machine placed at a height $ h $ above the earth surface releases different balls with different angles but with the same velocity $ 10 \sqrt{3} \, \text{ms}^{-1} $. All these balls landing velocities make angles 30° or more with horizontal. Then the height $ h $ (in meters) is: