List of top Questions asked in MHT CET

A square frame of each side \( L \) is dipped in a soap solution and taken out. The force acting on the film formed is \( T = \) surface tension of soap solution
A large open tank containing water has two holes to its wall. A square hole of side \( a \) is made at a depth \( y \) and a circular hole of radius \( r \) is made at a depth \( 16y \) from the surface of water. If equal amount of water comes out through both the holes per second, then the relation between \( r \) and \( a \) will be
A particle of mass \( m \) is performing U.C.M. along a circle of radius \( r \). The relation between centripetal acceleration \( a \) and kinetic energy \( E \) is given by
A block of mass \( M \) is moving on rough horizontal surface with momentum \( P \). The coefficient of friction between the block and surface is \( \mu \). The distance covered by the block before it stops is
The resultant of two vectors \( \vec{A} \) and \( \vec{B} \) is \( \vec{C} \). If the magnitude of \( \vec{B} \) is doubled, the new resultant vector becomes perpendicular to \( \vec{A} \). Then the magnitude of \( \vec{C} \) is
The ratio of energies of photons produced due to transition of electron of hydrogen atom from its (i) second to first energy level and (ii) highest energy level to 2\(^\text{nd}\) level is respectively
If the angle of dip at places A and B are 30° and 45° respectively, the ratio of horizontal component of earth's magnetic field at A to that at B will be
A circular coil of radius \( R \) has a resistance of 40\( \Omega \). Figure shows two points \( P \) and \( Q \) on the circumference separated by a distance \( \frac{\pi R}{2} \), which are connected to a 16 V battery with internal resistance of 0.5 \( \Omega \). What is the value of current \( I \) flowing through the circuit?
When tension \( T \) is applied to a sonometer wire of length \( \ell \), it vibrates with the fundamental frequency \( n \). Keeping the experimental setup same, when the tension is increased by 8 newton, the fundamental frequency becomes three times the earlier fundamental frequency (\( n \)). The initial tension applied to the wire in newton was
The damping force of an oscillator is directly proportional to the velocity. The unit of constant of proportionality is
As we go from the equator of the earth to pole of the earth, the value of acceleration due to gravity
The length of solenoid is \( \ell \) whose windings are made of material of density \( D \) and resistivity \( Q \). The winding resistance is \( R \). The inductance of solenoid is
A block of mass \( m \) attached to one end of the vertical spring produces extension \( x \). If the block is pulled and released, the periodic time of oscillation is
Refractive index of the medium is \( \mu \) and wavelength is \( \lambda \), then which of the following proportionality relation is correct?
The ratio of energy required to raise a satellite of mass \( m \) to a height \( h \) above the earth's surface to that required to put it into the orbit at same height is
In communication system, a repeater is used to extend the range of transmission. It is the combination of
The x, y components of vector \( \vec{P} \) have magnitudes 1 and 3 and the x, y components of resultant of \( \vec{P} \) and \( \vec{Q} \) have magnitudes 5 and 6 respectively. What is the magnitude of \( \vec{Q} \)?
A sonometer wire under suitable tension having specific gravity \( Q \), vibrates with frequency \( n \) in air. If the load is completely immersed in water the frequency of vibration of the wire will become
Five capacitors each of capacity \( C \) are connected as shown in the figure. If their resultant capacity is 2\mu F, then the capacity of each condenser is
There are four convex lenses \( L_1 \), \( L_2 \), \( L_3 \), and \( L_4 \) of focal length 2, 4, 6, and 8 cm respectively. Two of these lenses form a telescope of length 10 cm and magnifying power 4. The objective and eye lenses are respectively
A circular coil of radius \( R \) is carrying a current \( I_1 \) in anticlockwise sense. A long straight wire is carrying current \( I_2 \) in the negative direction of x-axis. Both are placed in the same plane and the distance between the centre of coil and straight wire is \( d \). The magnetic field at the centre of coil will be zero for the value of \( d \) equal to
Two wires of different materials have same length \( L \) and same diameter \( d \). The second wire is connected at the end of the first wire and forms one single wire of double the length. This wire is subjected to stretching force \( F \) to produce the elongation \( \Delta L \). The two wires have
An obstacle is moving towards the source with velocity \( v \). The sound is reflected from the obstacle. If \( c \) is the speed of sound and \( \lambda \) is the wavelength, then the wavelength of the reflected wave \( \lambda_r \) is
A spherical rubber balloon carries a charge, uniformly distributed over the surface. As the balloon is blown up and increases in size, the total electric flux coming out of the surface
A step-up transformer has 300 turns of primary winding and 450 turns of secondary winding. A primary is connected to 150 volt and the current flowing through it is 9A. The current and voltage in the secondary are