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In the question , it is given that Principal(P)=Rs.1000 , Rate Of Interest(%R)=10% per annum & Time(n)=2 years and we have to found the amount after two years if the interest is compounded half yearly. So , whenever these type of questions come just "Divide the rate of interest by the number accorfing to which interest is applied and multiply with the same number with time" Example - Here it is half yearly so divide the rate by 2 and multiply time by 2. Hence our %R=10/2=5 and time(n)=2*2=4 and, A=P(1+R/100)^n . On putting values of all the terms we find A. A=1000(1+5/100)^4=1000(1.05^4)=1000*1.2155=Rs.1215.5 is the answer

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We have been given that the mass of butane = 29 grams, therefore the moles of butane = (Given mass). Atomic mass of butane = (12*4+1*10) = 58

Hence the no. of moles of butane = (29/58) = 0.5 mole of butane.

For mole concept – specially for stoichiometric questions, remember this one formula and you will be able to solve all the problems like this

Formula-> (moles of 1st substance ÷ stoichiometric co-efficient of that substance) = (moles of 2nd substance ÷ stoichiometric co-efficient of that substance)

Therefore, by applying this formula, we get the equation as (0.5÷1) = (no. of moles of oxygen÷4.5)

Hence, no. of moles of oxygen = 0.5*4.5=2.25

And, by applying the formula of how to find no. of moles we get this equation-> (2.25 = Mass required÷32)

Implies that Mass required of oxygen for complete combustion of oxygen = 2.25*32 = 72 grams

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We know that the tangents from an external point to any circle are equal, therefore-> length of tangent XP=length of tangent XQ. Similarly,  length of tangent AP=length of tangent AR &  length of tangent BR=length of tangent BQ

Now, from the figure, we can see that-> XP = XA + AP & XQ = XB + QB----------------------(1), 

and because AP = AR & BR = BQ , We can rewrite the equation (1) as XP = XA + AR & XQ =XB + BR 

and as we have already discussed above that XP = XQ, Hence it is proved that XA + AR = XB + BR

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We know that speed of light is approximately (3*(10^8)) m/s & we have been given the frequency of wavelength is 1Ghz = 10^9 Hz. We should know this formula: velocity = frequency * wavelength. Therefore, on applying this formula and putting the correct values of velocity and frequency we will find out the wavelength of the wave i.e. {3*(10^8)}/(10^9), on calculating this, we will get wavelength = 0.3m

 

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Simply it is an option (B) i.e. noise. We can understand this in a simple way as when we get irritated by any sound we generally use to say - Don't make noise , you've often heard this statement by your teachers

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Its answer is option D i.e. 2. We can verify our answer as we can see the term "binary", Binary means two and in binary system, we have only 2 numbers i.e. "0" & "1"

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Bit on the left side has the highest value means option C because the extreme right-hand side bit is known as LSB i.e Least Significant Bit and the extreme left-hand side bit is MSB i.e Most Significant Bit

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Decrease in strength of signal is known as attenuation i.e. option C

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answer (B) as we will expand each of these binary numbers - 1st byte* 2^0 + 2nd byte*2^1 +3rd byte* 2^2 + 4th byte * 2^3...like this we will go on...and we will move from RHS to LHS.

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We know that frequency = 1/time period...

Therefore, time period = 1/frequency = 1/20 =0.05 seconds