List of practice Questions

A jet plane having a wing-span of 25 m is travelling horizontally towards east with a speed of 3600 km/hour. If the Earth?s magnetic field at the location is $4 \times 10^{-4} \, T$ and the angle of dip is $30^{\circ}$, then, the potential difference between the ends of the wing is
A cyclotron?s oscillator frequency is 10 MHz and the operating magnetic field is 0.66 T. If the radius of its dees is 60 cm, then the kinetic energy of the proton beam produced by the accelerator is
A space station is at a height equal to the radius of the Earth. If $'v_E'$ is the escape velocity on the surface of the Earth, the same on the space station is ....... times $v_E$.
The radius of the Earth is 6400 km. If the height of an antenna is 500 m, then its range is
For an ideal gas, compressibility factor is
In the circuit shown in the figure, the input voltage $V_i$ is $20 \, V , V_{BE} = 0 $ and $V_{CE} = 0$ .The values of $I_B , I_C$ and $\beta$ are given by
In a $p-n$ junction diode, change in temperature due to heating
Which of the following gastric cells indirectly help in erythropoiesis ?
Which of the following terms describe human dentition ?
Stomata in grass leaf are
If the mass of the Sun were ten times smaller and the universal gravitational constant were ten times larger in magnitude, which of the following is not correct ?
A solid sphere is in rolling motion. In rolling motion a body possesses translational kinetic energy $(K_t)$ as well as rotational kinetic energy , $(K_r)$ simultaneously. The ratio $K_t : (K_t + K_r)$ for the sphere is
A solid sphere is rotating freely about its symmetry axis in free space. The radius of the sphere is increased keeping its mass same. Which of the following physical quantities would remain constant for the sphere ?
A body initially at rest and sliding along a frictionless track from a height $h$ (as shown in the figure) just completes a vertical circle of diameter $AB \,=\, D$. The height h is equal to
If $\alpha, \beta$ and $\gamma$ are the roots of the equation $x^3 - 3x^2 + 3x + 7 = 0$, and w is cube root of unity, then the value of $\frac{\alpha-1}{\beta-1} + \frac{\beta-1}{\gamma-1} + \frac{\gamma-1}{\alpha-1}$ is equal to
The perimeter of the locus represented by arg $\left( \frac{z + i}{z-i}\right) = \frac{\pi}{4}$ is equal to
The number of solutions of the equation $\sin \, 2x + 2 \, \sin \, x - \cos \, x - 1 = 0$ in the range $0 \leq x \leq 2 \pi$ is
If $(1 + \tan \, 1^{\circ})(1 + \tan \, 2^{\circ}) ...... (1 + \tan \, 45^{\circ}) = 2^n$, then n is
If $\cos^{-1} \frac{3}{5} + \cos^{-1} \frac{12}{13} = \cos^{-1} k$, then the value of $k$ is
If $\cos \, 3x \, \cos \, 2x \, \cos \, x = \frac{1}{4} $ and $0 < x < \frac{\pi}{4}$, then the value of $x$ is
Which of the following reactions is a redox reaction
The interval in which the function $f\left(x\right) = \frac{4x^{2}+1}{x}$ is decreasing is :
Species which are closely related, morphologically similar, reproductively isolated, live in sympatric population are designated as:
If the parabola $y^2 = 4ax$ passes through the point $(1, -2)$, then the tangent at this point is
Actinomorphic condition can be represented as: