List of practice Questions

Two resistors of resistances 4 $\Omega$ and 8 $\Omega$ are connected in parallel in the left gap of the meter bridge and two resistors of resistances 8 $\Omega$ and 4 $\Omega$ are connected in series in the right gap of the meter bridge. The balancing length from the left end of the bridge wire is
The length of minute hand in a clock is 4.5 cm. If the tip of the minute hand moves from 6 AM to 6:30 AM, the average velocity of the tip is:
A drop of water of radius 0.0015 mm is falling in air. The coefficient of viscosity of air is \( 1.8 \times 10^5 \, \text{kgm}^{-1} \, \text{s}^{-1} \). If the density of the air is neglected, then what will be the terminal velocity of the drop?
The specific heat capacity of one mole of water is (R is the universal gas constant):
In a medium, a source produces 60 crests and 60 troughs in a time of 0.2 s. If the distance between a crest and its adjacent trough is 100 cm, then the speed of sound in the medium is:
The wavelength of the monochromatic light used in Young's double slit experiment is 550 nm and the screen is placed at a distance of 120 cm from the plane of the slits. If third dark fringe is formed on the screen at a distance of 1.5 mm from the central bright fringe, then the distance of separation between the two slits is
The de Broglie wavelength associated with an electron accelerated through a potential difference of 2400 V is nearly
A cannon on a cliff 55 m above the ground fires a shell with a velocity of \(50\hat{i}+50\hat{j}\) ms\textsuperscript{−1}. The displacement vector of the shell when it hits the ground is (Acceleration due to gravity = 10 ms\textsuperscript{−2})
The properties required for a material to be used as the core of an electromagnet are:
The fundamental force in nature which operates among heavier elementary particles only is
Which of the following forces have infinite range?
In the $\beta^{+}$ decay, the particle emitted along with neutron and positron is
A ball of mass 250 g moving with a speed of 72 kmph is deflected by a batsman by an angle of 120$^\circ$ without changing its initial speed. The impulse imparted to the ball is:
A tank is filled with water to a height of 80 cm. The speed of efflux of water through a hole on the side wall near its bottom is (g = 10 m/s$^2$):
The energy required to increase the radius of a soap bubble from 3 cm to 4 cm is (Surface tension = $3\times10^{-2}$ N/m):
A metal plate of mass 50 g is heated to a temperature of $200^\circ\mathrm{C}$ and then immersed in 150 g of water at $20^\circ\mathrm{C}$. If the temperature of the water is $50^\circ\mathrm{C}$ at equilibrium, then the specific heat capacity of the metal is (specific heat capacity of water $=4200\ \mathrm{J\,kg^{-1}K^{-1}}$):
A pendulum clock gains 6 s per day when the temperature is $296\ \mathrm{K}$ and gains 9 s per day when the temperature is $291\ \mathrm{K}$. The temperature at which the pendulum clock loses 12 s per day is:
In an experiment, the angular width of interference fringes for a light of wavelength 5896 Å is found to be $3.5\times10^{-3}$ radian. The wavelength of light for which the angular width of the fringes becomes 10% greater is:
The minimum velocity of a projectile is 50% of its maximum velocity. If the minimum velocity of the projectile is $10~\text{m s}^{-1}$ then the time of flight of the projectile is (Acceleration due to gravity = $10~\text{m s}^{-2}$
A wheel with 12 metallic spokes each 40 cm long is rotated with an angular speed of 15 rads$^{-1}$ in a plane normal to the horizontal component of earth's magnetic field. If the horizontal component of earth's magnetic field at the place is $4\times10^{-5}$ T, then the induced emf between the axle and the rim of the wheel is
The height of a television transmitting antenna is 70 m. If the receiving antenna is at the ground level, then the service area covered by the transmitting antenna is nearly (Radius of the earth = 6400 km)
A straight wire carrying current \( I \) is lying along the axis of a circular loop carrying current \( I \). The force on this wire due to the circular loop is proportional to (Assume the axis of the circular loop is perpendicular to the plane of the loop).
A motor cyclist is travelling towards north with a uniform speed of 10 ms\textsuperscript{−1} and a train is travelling towards north-west with a uniform speed of 102 ms\textsuperscript{−1}. The direction of motion of the motor cyclist as observed by a passenger in the train is
The distance between the objective and eyepiece of an astronomical telescope when the final image forms at infinity is 62 cm. If the magnification of the telescope is 30, the focal lengths of the objective and eyepiece respectively are:
The potential difference between the plates of a parallel plate capacitor is changing at the rate of $3.5\times10^6$ V/s. If the displacement current is 7 A, the capacitance of the capacitor is: