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What will be the change in frequency of the fundamental tone if the temperature of a taut string is increased ?

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Discuss, in which of the cases given below, the pitch of the fundamental tone emitted from a taut string may increase : (i) when length of the string in increased (ii) when length of the string is decreased (iii) when tension in the string is increased (iv) when tension in the string is decreased

For an ideal gas, C_(V)=(3)/(2)R . (a) What will be the change in internal energy (DeltaU) of 1 mole of an ideal gas if its temperature is increased by 4K at constant volume ? What would be DeltaU if the temperature of this gas is increased by the same amount of constant pressure? keeping pressure constant if the temperature of that same amount of gas is increased by 4K then what will be the change in internal energy (DeltaU) of that gas? (c) give reason for different values of DeltaU and DeltaH ?

A Sonometer wire emits a tone of frequency 150 Hz . Find out the frequency of the fundamental tone emitted by the wire if the tension is increased in the ratio 9 : 16 and the length is doubled .

A fundamental tone of frequency n_(1) is produced when a string stretched at both ends is vibrated. The frequency of the fundamental tone changes to n_(2) when the tension in the string is double. What is the ratio of n_(1) and n_(2) ?