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Kamlesh Goyal verified

Numerade educator

A circular disc of mass 10 kg is suspended by a wire attached to its centre. The wire is twisted by rotating the disc and released. The period of torsional oscillation is found to be 1.5 s. The radius of the disc is 15 cm. Determine the torsional spring constant of the wire. (Torsional spring constant α is defined by the relation J=−αθ, where J is the restoring couple and θ the angle of twist).

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Kamlesh Goyal verified

Numerade educator

A carrier wave of 1000W is subjected to 100% modulation. Calculate (i) Power of modulated wave, (ii) power is USB, (iii) power is LSB

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Kamlesh Goyal verified

Numerade educator

A car starts from rest and moves along the x-axis with a constant acceleration of 5 m/s2 for 8 seconds. If it then continues with constant velocity what distance will the car cover in 12 seconds since it started from rest

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Kamlesh Goyal verified

Numerade educator

A capacitor of 2μF is connected in a radio circuit. The source frequency is 1000 Hz. If the current through the capacitor branch is 2 mA then the voltage across the capacitor is

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Kamlesh Goyal verified

Numerade educator

A car driven round curved path of radius 18m without the danger of skidding. The coefficient of friction between the tyres of the car and the surface of the curved path is 0.5. What is the maximum speed in kmph of the car for safe driving nearly? (g=10ms−2)

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Kamlesh Goyal verified

Numerade educator

A cannon and a target are 5.10km apart and located at the same level. How soon will the shell launched with the initial velocity 240m/s reach the target in the absence of air drag?

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Kamlesh Goyal verified

Numerade educator

A bus moving on a level road with a velocity V can be stopped at a distance of x, by the application of a retarding force F. The load on the bus is increased by 25% by boarding the passengers. Now, if the bus is moving with the same speed and if the same retarding force is applied, the distance travelled by the bus before it stops is:

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Kamlesh Goyal verified

Numerade educator

A bullet is fired from a gun. The force on the bullet is given by F=600−2×105t, where F is in N and t in sec. The force on bullet becomes zero as soon as it leaves barrel. What is average impulse imparted to bullet?

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Kamlesh Goyal verified

Numerade educator

A bullet fired at an angle of 30o with the horizontal hits the ground 3.0 km away. By adjusting its angle of projection, can one hope to hit a target 5.0 km away? Assume the muzzle speed to be fixed, and neglect air resistance.

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Kamlesh Goyal verified

Numerade educator

A bomb moving with velocity (40i+50j-25k)m//s explodes into two pieces of mass ratio 1:4. After explosion the smaller piece moves away with velocity (200i +70j +15k)m//s. The velocity of larger piece after explosion is .

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