choose the correct option. If speed of gamma rays, X-rays and microwaves are `V_(g),V_(x)" and "V_(m)`.
A. `v_(g)ltv_(X)ltv_(m)`
B. `v_(g)gtv_(X)gtv_(m)`
C. `v_(g)gtv_(X)ltv_(m)`
D. `v_(g)=v_(X)=v_(m)`
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Assertion Microwaves are used in microwave oven for cooking purpose. Reason The frequency of microwaves is from `10^(14)` to `10^(17) Hz`.
Correct Answer - C The frequnency range of microwave is from `10^(9)` to `10^(11)` Hz.
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The energy of gamma `(gamma)` ray photon is `E_(gamma)` and that of an X-rays photon is `E_(X)`. If the visible light photon has an energy of `E_(v)`,
Correct Answer - C `E_(gamma) ge 100 keV, E_(X) = 100 eV` to `100 keV`. So, we can say that `E_(y) gt E_(x) gt E_(v)`,
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Using peoperties of determinants in questions 11 to 15, prove that : `|{:(alpha,alpha^(2),beta+gamma),(beta,beta^(2),gamma+alpha),(gamma,gamma^(2),alp
L.H.S.=`|{:(alpha,alpha^(2),beta+gamma),(beta,beta^(2),gamma+alpha),(gamma,gamma^(2),alpha+beta):}|=|{:(alpha,alpha^(2),alpha+beta+gamma),(beta,beta^(2),alpha+beta+gamma),(gamma,gamma^(2),alpha+beta+gamma):}|` `(C_(3)toC_(3)+C_(1))` `=(alpha+beta+gamma)|{:(alpha,alpha^(2),1),(beta,beta^(2),1),(gamma,gamma^(2),1):}|` `(alpha+beta+gamma)|{:(alpha,alpha^(2),1),(beta-alpha,beta^(2)-alpha^(2),0),(gamma-alpha,gamma^(2)-alpha^(2),0):}|` `(R_(2)toR_(2)-R_(1),R_(3)toR_(3)-R_(1))` `(alpha+beta+gamma)(beta-alpha)(gamma-alpha)|{:(alpha,alpha^(2),1),(1,beta-alpha,0),(1,gamma-alpha,0):}|` `=-(alpha-beta)(gamma-alpha)(alpha+beta+gamma)1.|{:(1,beta+alpha),(1,gamma+alpha)` `=-(alpha-beta)(gamma-alpha)(alpha+beta+gamma)(gamma+alpha-beta-alpha)` `=(alpha-beta)(beta-gamma)(gamma-alpha)(alpha+beta+gamma)` =R.H.S.
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One mole of ideal monoatomic gas `(gamma=5//3)` is mixed with one mole of diatomic gas `(gamma=7//5)`. What is `gamma` for the mixture? `gamma` Denote
Correct Answer - B Monoatomic `" "` `n_(1) = 1` Diatomic `n_(2) = 1 gamma_(2) = (7)/(5)` `(n_(1) + n_(2))/(gamma_("mix") - 1) = (n_(1))/(gamma_(1) - 1) + (n_(2))/(gamma_(2) - 1) implies...
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A. Wavelength of microwaves is greater than that of ultraviolet rays. B. The wavelength of infrared rays is lesser than that of ultraviolet rays. C. T
Correct Answer - D `lambda_("micro") gt lambda_("infrared") gt lambda_("ultraviolet") gt lambda_("gamma")`
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X-rays, gamma rays and microwaves travelling in vacuum have
Correct Answer - C In vaccum X-rays, gamma rays and microwaves travel with same velocity, i.e., with the velocity of light `c (3 xx 10^(8)m s^(-1))` but have different wavelengths.
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Assertion : Microwaves are heat waves which is used to heat up food in ovens. Reason : In ovens, microwaves heat up the vessel first and food inside g
Correct Answer - D Mecrowaves are not heat waves. Microwaves have frequency and energy smaller than visible light and wavelengths larger than it. In microwave ovens, the frequency of the microwaves...
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Assertion : Microwaves are better carrier of signals than optical waves Reason : Microwaves move faster than optical waves.
Correct Answer - D The optical waves used in optical fibre communication are better carrier of signals than microwaves. The speed of microwave and optical wave is the same in vacuum.
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One mole of an ideal monoatomic gas `(gamma = (5)/(3))` is mixed with one mole of a diatomic gas `(gamma=(7)/(5))`. (`gamma` denotes the ratio of spec
`gamma_(mix)=(C_(P_("mix")))/(C_(V_("mix")))=(1+(5)/(2)R+1xx(7)/(2)R)/(1xx(3)/(2)+1xx(5)/(2)R)`
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If `alpha, beta, gamma` are three real numbers and `A=[(1,cos (alpha-beta),cos(alpha-gamma)),(cos (beta-alpha),1,cos (beta-gamma)),(cos (gamma-alpha),
Correct Answer - A::B::D `A=[(cos alpha,sin alpha,0),(cos beta,sin beta,0),(cos gamma,sin gamma,0)][(cos alpha,cos beta,cos gamma),(sin alpha,sin beta,sin gamma),(0,0,0)]` Clearly, A is symmetric and `|A|=0`, hence, singular and not invertiable. Also, `A A^(T)...
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