List of top Questions asked in MHT CET- 2014

If 'l' is the length of the open pipe, 'r' is the internal radius of the pipe and 'V' is the velocity of sound in air then fundamental frequency of open pipe is
A thin uniform rod of mass 'm' and length 'l' is suspended from one end which can oscillate in a vertical plane about the point of intersection. It is pulled to one side and then released. It passes through the equilibrium position with angular speed '$\omega$'. The kinetic energy while passing through mean position is
Magnetic field at the centre of the hydrogen atom due to motion of electron in nth orbit is proportional to
A person with machine gun can fire 50 g bullets with a velocity of 240 m/s. A 60 kg tiger moves towards him with a velocity of 12 m/s. In order to stop the tiger in track, the number of bullets the person fires towards the tiger is
The angle of deviation produced by a thin prism when placed in air is $\delta_1$ and that when immersed in water is $\delta_2$. The refractive indices of glass and water are $\frac{3}{2}$ and $\frac{4}{3}$ respectively. The ratio $\delta_1 : \delta_2$ is
The efficiency of a heat engine is '$\eta$' and the coefficient of performance of a refrigerator is '$\beta$'. Then
Two circular coils made from same wire but radius of 1st coil is twice that of 2nd coil. If magnetic field at their centres is same then ratio of potential difference applied across them is ($1^{st}$ to 2nd coil)
Five current carrying conductors meet at point P. What is the magnitude and direction of the current in conductor PQ?
A conducting sphere of radius $0.1\,\text{m}$ has uniform charge density $1.8\,\mu\text{C/m}^2$ on its surface. The electric field in free space at a radial distance $0.2\,\text{m}$ from the centre is ($\epsilon_0$ = permittivity of free space)
Water rises in a capillary tube of radius $r$ up to a height $h$. The mass of water in the capillary is $m$. The mass of water that will rise in a capillary tube of radius $\frac{r}{3}$ will be
If $I_0$ is the intensity of the principal maximum in the single slit diffraction pattern, then what will be the intensity when the slit width is doubled?
In Young's double slit experiment, the $8^{\text{th}}$ maximum with wavelength $\lambda_1$ is at a distance $d_1$ from the central maximum and the $6^{\text{th}}$ maximum with wavelength $\lambda_2$ is at a distance $d_2$. Then $\frac{d_2}{d_1}$ is
The alternating e.m.f. induced in the secondary coil of a transformer is mainly due to
The value of acceleration due to gravity at a depth 'd' from the surface of earth and at an altitude 'h' from the surface of earth are in the ratio
A magnetic field of $2 \times 10^{-2}\,\text{T}$ acts at right angles to a coil of area $100\,\text{cm}^2$ with 50 turns. The average e.m.f. induced in the coil is $0.1\,\text{V}$ when it is removed from the field in time $t$. The value of $t$ is
The equation of the wave is $Y=10\sin\left(\dfrac{2\pi t}{30}+\alpha\right)$. If the displacement is $5$ cm at $t=0$ then the total phase at $t=7.5$ s will be $(\sin30^\circ=0.5)$
The bob of a simple pendulum of length 'L' is released from a position of small angular displacement $\theta$. Its linear displacement at time 't' is ($g =$ acceleration due to gravity)
In semiconductors at room temperature,
A sphere, a cube and a thin circular plate all made of same material and having the same mass are heated to same temperature of $200^\circ$C. On these are left in a room.
A uniformly charged semicircular arc of radius $r$ has linear charge density $\lambda$. The electric field at its centre is $(\varepsilon_0 =$ permittivity of free space$)$
A solenoid of length $0.4$ m and having $500$ turns of wire carries a current $3$ A. A thin coil having $10$ turns of wire and radius $0.1$ m carries a current $0.4$ A. The torque produced to hold the coil in middle of solenoid with its axis perpendicular to the axis of the solenoid is $(\mu_0=4\pi\times10^{-7}$ SI units, $\pi^2=10$, $\sin90^\circ=1)$
For emission of light, a light emitting diode (LED) is
Considering earth to be a sphere of radius $R$ having uniform density $\rho$, then value of acceleration due to gravity $g$ in terms of $R,\rho$ and $G$ is
If the radius of the first Bohr orbit is $r$, then the de Broglie wavelength of the electron in the $4^{\text{th}}$ orbit is
The temperature of a gas is $-68^\circ$C. To what temperature should it be heated, so that the r.m.s. velocity of the molecules becomes doubled?