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The fundamental frequency of a string is proportional to

(A) inverse of its length

(B) the diameter

(C) the tension

(D) the density

(A) inverse of its length

(B) the diameter

(C) the tension

(D) the density

Answer: A

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Three resonant frequencies of a string are 90, 150 and 210 Hz. (a) Find the highest possible fundamental frequency of vibration of this string. (b) Which harmonics of the fundamental are the given frequencies ? (c) Which overtones are these frequencies ? (d) If the length of the string is 80 cm, what would be the speed of a transverse wave on this string ?

Assume that each atom in a copper wire contributes one free electron. Estimate the numberof free electrons in a cpper wire having a mass of 6.4g (take the atomic weight of copper ot be 64g \({m}{o}{l}^{{-{1}}}.\)

An inductor coil of resistance \({10}\Omega\) and inductance 120 mH is connected across a battery of emf 6 V and internal resistance \({2}\Omega\). Find the charge which flows through the inductor in (a) 10 ms, (b) 20ms and (c ) 100ms after the connections are made.

A circuit has a resistance of 12 ohm and an impendance of 15 ohm. The power factor of the circuit will be

(A) 0.4

(B) 0.8

(C) 0.125

(D) 1.25

(A) 0.4

(B) 0.8

(C) 0.125

(D) 1.25

An a- particle and a proton are accelerated from rest by a potential difference of \({100}{V}\) After this their de Broglie

wavelength are \(\lambda_{{{a}}}{\quad\text{and}\quad}\lambda_{{{p}}}\) respectively The ratio \(\frac{{\lambda_{{{p}}}}}{\lambda_{{{p}}}}{)}\) , to the rearest integer is

wavelength are \(\lambda_{{{a}}}{\quad\text{and}\quad}\lambda_{{{p}}}\) respectively The ratio \(\frac{{\lambda_{{{p}}}}}{\lambda_{{{p}}}}{)}\) , to the rearest integer is

Can pressure (p) ,density (p) and velocity (v) be taken as fundunental quantities ?

A man of mass \({60}{k}{g}\) jumps from a trolley of mass \({20}{k}{g}\) standing on smooth surface with absolute velocity \({3}{m}/{s}\). Find velocity of trolley and total energy produced by man.

When interference is produced by two progressive waves of equal frequencies, then the maximum intensity of the resulting sound are \({N}\) times the intensity of each of the component waves. The value of \({N}\) is

(A) \({1}\)

(B) \({2}\)

(C) \({4}\)

(D) \({8}\)

(A) \({1}\)

(B) \({2}\)

(C) \({4}\)

(D) \({8}\)

Three liquids A, B and C of specific heats \({1}{c}{a}{l}/{g}-^{\circ}{C},{0.5}{c}{a}{l}/{g}-^{\circ}{C}{\quad\text{and}\quad}{0.25}{c}{a}{l}/{g}-^{\circ}{C}\) are at temperatures \({20}^{\circ}{C},{40}^{\circ}{C}{\quad\text{and}\quad}{60}^{\circ}{C}\) respectively. Find temperature in equilibrium if they are mixed together. Their masses are equal.

What is the smallest electric force between two charges placed at a distance of \({1.0}{m}\)?

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