HSC Science (Electronics) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions

Derive an expression for maximum safety speed with which a vehicle should move along a curved horizontal road. State the significance of it.

A bucket containing water is tied to one end of a rope 5 m long and it is rotated in a vertical circle about the other end. Find the number of rotations per minute in order that the water in the bucket may not spill.

A body weighing 0.5 kg tied to a string is projected with a velocity of 10 m/s. The body starts whirling in a vertical circle. If the radius of the circle is 0.8 m, find the tension in the string when the body is at the top of the circle.

Derive an expression for the kinetic energy of a rotating body with uniform angular velocity. 

A railway track goes around a curve having a radius of curvature of 1 km. The distance between the rails is 1 m. Find the elevation of the outer rail above the inner rail so that there is no side pressure against the rails when a train goes around the curve at 36 km/hr. 

What is a conical pendulum? Obtain an expression for its time period

Obtain an expression for maximum safety speed with which a vehicle can be safely driven along a curved banked road. 

If the absolute temperature of a body is doubled, the power radiated will increase by a factor of ______ 

Show that for monoatomic gas the ratio of the two specific heats is 5:3. 

Show that for diatomic gas the ratio of the two specific heats is 7:5.

An electric current in an LC – circuit at resonance is called - ______ 

If AC voltage is applied to a pure capacitor, then the voltage across the capacitor ______  

An electric bulb operates 10 V d.c. If this bulb is connected to an a.c. source and gives normal brightness, then the peak value of the source is ______ 

A coil of resistance 300Ω and inductance 1.0 H is connected across an alternating voltage of frequency `300/(2pi)` Hz, therefore phase difference between the voltage and current in the circuit is ______ 

State the equation for impedance Z in an A.C. circuit.

If the peak value of an alternating emf is 15V, what is its mean value over half cycle?

Explain term impedance and state the formula for it in the case of an LCR series circuit.

A series LCR circuit has resistance 10Ω and reactance is `7sqrt2` Ω. What is the impedance of the circuit?

Find the current in a circuit consisting of a coil and a capacitor in series with an A.C source of 110V (r.m.s.), 60Hz. The inductance of a coil is 0.80 H and its resistance is 50Ω. The capacitance of a capacitor is 8µF. 

A 0.5µF capacitor is discharged through a 10 millihenry inductor. Find the frequency of discharge.