Untitled

 2 mark

| -0.25 mark |

 60 minutes

00:00:00

Question 1:

A particle travels a distance \( s=\left(a t^{2}+b t\right) \), where \( a=2 m / s^{2} \) and \( b=3 m / s \). Find the distance travelled in 4 s.

Question 2:

A projectile is thrown with speed \( 20 \mathrm{~m} / \mathrm{s} \) at \( 30^{\circ} \). Take \( g=10 \mathrm{~m} / \mathrm{s}^{2} \). Maximum height is:

Question 3:

A car starts from rest with acceleration \( 4 m / s^{2} \). Distance covered in 5 s is:

Question 4:

A body moving at \( 20 \mathrm{~m} / \mathrm{s} \) is uniformly retarded at \( 2 \mathrm{~m} / \mathrm{s}^{2} \). Time required to stop is:

Question 5:

A force of 20 N acts on a body of mass 5 kg. Its acceleration is:

Question 6:

A block of mass 5 kg is on a horizontal surface with \( \mu=0.2 \). Take \( g=10 \mathrm{~m} / \mathrm{s}^{2} \).
Limiting friction is:

Question 7:

A force of 10 N moves a body through 5 m in its direction. Work done is:

Question 8:

A machine does 6000 J of work in 20 s. Its power is:

Question 9:

A body of mass 2 kg moves in a circle of radius 5 m with speed 10 m/s. Centripetal force is:

Question 10:

If the mass of a planet is \( 4 M \) and radius is \( 2 R \), compared with Earth having mass \( M \) and radius \( R \), acceleration due to gravity becomes:

Question 11:

Two particles of masses 2 kg and 3 kg are placed at \( x=0 \) and \( x=10 \) m respectively. Centre of mass is:

Question 12:

A torque of 20 N m acts on a body having moment of inertia \( 5 kg m^{2} \). Angular acceleration is:

Question 13:

A particle performs SHM with amplitude 0.2 m and angular frequency \( 5 \mathrm{rad} / s \). Maximum velocity is:

Question 14:

A wave has frequency 500 Hz and wavelength 0.6 m. Its speed is:

Question 15:

A gas absorbs 500 J heat and does 200 J work. Change in internal energy is:

Question 16:

Two charges \( 2 \mu C \) and \( 3 \mu C \) are separated by 3 m. Take \( k=9 \times 10^{9} \). Force between them is:

Question 17:

A charge of \( 2 \mu C \) experiences a force of 0.04 N. Electric field at its position is:

Question 18:

A capacitor of capacitance \( 10 \mu F \) is connected to 20 V. Charge stored is:

Question 19:

A 12 V battery is connected across a resistance of \( 4 \Omega \). Current is:

Question 20:

A 100 W bulb operates at 200 V. Current through it is:

Question 21:

A charge \( 2 \times 10^{-6} C \) moves with speed \( 10^{5} m / s \) perpendicular to a magnetic field of 0.5 T. Force is:

Question 22:

Magnetic flux through a coil changes from 0.5 Wb to 0.1 Wb in 0.2 s. Average induced emf is:

Question 23:

The peak value of an AC voltage is 311 V. Its RMS value is approximately:

Question 24:

An object is placed 30 cm in front of a convex lens of focal length 20 cm. Image distance is:

Question 25:

In Young's double-slit experiment, wavelength is 600 nm, slit separation is 1 mm and screen distance is 2 m. Fringe width is:

Question 26:

The energy of a photon having frequency \( 5 \times 10^{14} \mathrm{~Hz} \) is approximately ( \( h=6.6 \times 10^{-34} J s \) ):

Question 27:

Work function of a metal is 2 eV. If incident photon energy is 5 eV, maximum kinetic energy of emitted electrons is:

Question 28:

Energy of an electron in the first orbit of hydrogen atom is -13.6 eV. Energy in the second orbit is:

Question 29:

A diode has forward voltage 0.7 V and current 20 mA. Power consumed is:

Question 30:

A radioactive substance has a half-life of 10 days. What fraction remains after 30 days?
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