List of top Questions asked in MHT CET

Time period of a simple pendulum will be doubled if we
If \( \vec{A} = a_1 \hat{i} + a_2 \hat{j} \) and \( \vec{B} = b_1 \hat{i} + b_2 \hat{j} \) are perpendicular to each other, then
Let the series limit for Balmer series be \( \lambda_1 \) and the longest wavelength for Brackett series be \( \lambda_2 \). Then \( \lambda_1 \) and \( \lambda_2 \) are related as
Two condensers of capacities \( C \) and \( 2C \) are connected in parallel and then in series with 3rd condenser of capacity \( 3C \). The combination is charged to \( V \) volt. The charge on the condenser of capacity \( C \) is
A vehicle moving with 15 km/hr comes to rest by covering 5 m distance by applying brakes. If the same vehicle moves at 45 km/hr, then by applying brakes, it will come to rest by covering a distance of
Alternating current of peak value \( \frac{I}{\sqrt{2}} \) A flows through the primary coil of transformer. The coefficient of mutual inductance between primary and secondary coil is 1 H. The peak e.m.f. induced in secondary coil is (Frequency of a.c. = 50 Hz)
A metal wire of length \( L \) is bent to form a circular coil of number of turns \( n \). The coil is placed in magnetic field \( B \) and current is passed through the coil. The maximum torque acting on the coil is
The ratio of specific heat at constant pressure to specific heat at constant volume (\( \gamma \)) for a gas is \( \gamma = \left( 1 + \frac{2}{f} \right) \) where \( f \) is the number of degrees of freedom of a molecule of a gas. The ratio of \( \gamma_{r} \) for rigid diatomic to \( \gamma_{m} \) for monatomic is
A wire of length \( L \) and radius \( r \) is loaded with a weight \( Mg \). If \( Y \) and \( \sigma \) denote the Young's modulus and Poisson's ratio of the material of the wire respectively, then the decrease in the radius of the wire \( \Delta r \) is given by
In an experiment of the measurement of \( g \) using simple pendulum, the time period was measured with an accuracy of \( 0.2% \), while the length was measured with an accuracy of \( 0.5% \). The percentage accuracy in the value of \( g \) thus obtained is
The magnetic moment is NOT associated with
Water rises to a height 3 cm in a capillary tube. If cross-sectional area of capillary tube is reduced to \( \frac{1}{10} \)th of initial area then water will rise to a height of
A potentiometer is used to measure the potential difference between A and B, the null point is obtained at 0.9 m. Now potential difference between A and C is measured, the null point is obtained at 0.3 m. The ratio \( \frac{E_2}{E_1} \) is \( (E_1>E_2) \)
Photodiode is a device
Two cars of masses \( m_1 \) and \( m_2 \) are moving in circles of radii \( r_1 \) and \( r_2 \) respectively. Their speeds are such that they make complete circles in the same time \( t \). The ratio of their centripetal force is
A circular current-carrying coil has radius \( R \). At what distance from the centre of the coil on the axis, the magnetic induction will become \( \frac{1}{\sqrt{8}} \) of its value at the centre of the coil?
In the case of conical pendulum, if \( T \) is the tension in the string and \( \theta \) is the semi-vertical angle of the cone, then the component of tension which balances the centrifugal force in equilibrium position is
A molecule consists of two atoms each of mass \( m \) and separated by a distance \( d \). At room temperature the average rotational kinetic energy is \( E \), then its angular frequency is
A cylindrical magnetic rod has length 5 cm and diameter 1 cm. It has uniform magnetization \( 5 \times 10^3 \, \text{A/m} \). Its net magnetic dipole moment is nearly
A uniform rod AB of mass \( m \) and length \( l \) is at rest on a smooth horizontal surface. An impulse \( P \) is applied to the end B. The time taken by the rod to turn through a right angle is
The magnitude of total energy and angular momentum of an electron in the \( n \)th orbit of a Bohr atom is denoted by \( E_n \) and \( L_n \), respectively. Then
A ray of light passes through an equilateral prism such that the angle of incidence is equal to angle of emergence and each of these angles is equal to \( \frac{1}{3} \)rd the angle of prism. The angle of deviation is
A pipe closed at one end has length 0.8 m. At its open end, a 0.5 m long uniform string is vibrating in its second harmonic and it resonates with the fundamental frequency of the pipe. If the tension in the wire is 50 N and the speed of sound is 320 m/s, the mass of the string is
Two identical parallel plate air capacitors are connected in series to a battery of e.m.f. \( V \). If one of the capacitors is inserted in liquid of dielectric constant \( K \), then potential difference of the other capacitor will become
From a disc of mass \( M \) and radius \( R \), a circular hole of diameter \( R \) is cut whose rim passes through the centre. The moment of inertia of the remaining part of the disc about perpendicular axis passing through the centre is