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    Physics
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    Question

    A space c y l i n d e r space w i t h space f i x e d space c a p a c i t y space o f space 67.2 space l i t space c o n t a i n s space h e l i u m space g a s space a t space S T P. space T h e space a m o u n t space o f space h e a t space n e e d e d space t o space r a i s e space t h e t e m p e r a t u r e space o f space t h e space g a s space b y space 20 degree C space i s space colon space left square bracket G i v e n space t h a t open straight R equals 8.31 straight J mol to the power of negative 1 end exponent straight K to the power of negative 1 end exponent close square brackets

    1. 748 space J
    2. 350 space J
    3. 374 space J space
    4. 700 space J

    The correct answer is: 748 space J

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    T h e space g i v e n space d i a g r a m space s h o w s space f o u r space p r o c e s s e s space i. e. comma space i s o c h o r i c comma space i s o b a r i c comma space i s o t h e r m a l space a n d space a d i a b a t i c. space T h e space c o r r e c t space a s s i g n m e n t space o f space t h e space p r o c e s s e s comma space i n space t h e space s a m e space o r d e r space i s space g i v e n space b y space minus space

    T h e space g i v e n space d i a g r a m space s h o w s space f o u r space p r o c e s s e s space i. e. comma space i s o c h o r i c comma space i s o b a r i c comma space i s o t h e r m a l space a n d space a d i a b a t i c. space T h e space c o r r e c t space a s s i g n m e n t space o f space t h e space p r o c e s s e s comma space i n space t h e space s a m e space o r d e r space i s space g i v e n space b y space minus space

    PhysicsHeat
    Heat
    Physics

    T w o space i d e n t i c a l space b e a k e r s space A space a n d space B space c o n t a i n space e q u a l space v o l u m e s space o f space t w o space d i f f e r e n t space l i q u i d s space a t space 60 to the power of 0 C space e a c h space a n d space l e f t space t o space c o o l space d o w n. space L i q u i d space i n space A space h a s space d e n s i t y space o f space 8 cross times 10 squared kg divided by straight m cubed space a n d space s p e c i f i c space h e a t space o f space 2000 straight J kg to the power of negative 1 end exponent straight K to the power of negative 1 end exponent space w h i l e space l i q u i d space i n space B space h a s space d e n s i t y space o f space 10 cubed kgm to the power of negative 3 end exponent space a n d space s p e c i f i c space h e a t space o f space 4000 straight J kg to the power of negative 1 end exponent straight K to the power of negative 1 end exponent. space W h i c h space o f space t h e space f o l l o w i n g space b e s t space d e s c r i b e s space t h e i r space t e m p e r a t u r e space v e r s u s space t i m e space g r a p h space s c h e m a t i c a l l y ? space left parenthesis a s s u m e space t h e space e m i s s i v i t y space o f space b o t h space t h e space b e a k e r s space t o space b e space t h e space s a m e right parenthesis

    T w o space i d e n t i c a l space b e a k e r s space A space a n d space B space c o n t a i n space e q u a l space v o l u m e s space o f space t w o space d i f f e r e n t space l i q u i d s space a t space 60 to the power of 0 C space e a c h space a n d space l e f t space t o space c o o l space d o w n. space L i q u i d space i n space A space h a s space d e n s i t y space o f space 8 cross times 10 squared kg divided by straight m cubed space a n d space s p e c i f i c space h e a t space o f space 2000 straight J kg to the power of negative 1 end exponent straight K to the power of negative 1 end exponent space w h i l e space l i q u i d space i n space B space h a s space d e n s i t y space o f space 10 cubed kgm to the power of negative 3 end exponent space a n d space s p e c i f i c space h e a t space o f space 4000 straight J kg to the power of negative 1 end exponent straight K to the power of negative 1 end exponent. space W h i c h space o f space t h e space f o l l o w i n g space b e s t space d e s c r i b e s space t h e i r space t e m p e r a t u r e space v e r s u s space t i m e space g r a p h space s c h e m a t i c a l l y ? space left parenthesis a s s u m e space t h e space e m i s s i v i t y space o f space b o t h space t h e space b e a k e r s space t o space b e space t h e space s a m e right parenthesis

    PhysicsHeat
    Heat
    Physics

    A space t h e r m a l l y space i n s u l a t e d space v e s s e l space c o n t a i n s space 150 space g space o f space w a t e r space a t space 0 degree C. space T h e n space t h e space a i r space f r o m space t h e space v e s s e l space i s space p u m p e d space o u t space a d i a b a t i c a l l y. space A space f r a c t i o n space o f space w a t e r space t u r n s space i n t o space i c e space a n d space t h e space r e s t space e v a p o r a t e s space a t space 0 degree C space i t s e l f. space T h e space m a s s space o f space e v a p o r a t e d space w a t e r space w i l l space b e space c l o s e s t space t o space – space left parenthesis L a t e n t space h e a t space o f space v a p o r i z a t i o n space o f space w a t e r space equals space 2.10 space cross times space 10 to the power of 6 space J k g to the power of negative 1 end exponent space a n d space L a t e n t space h e a t space o f space f u s i o n space o f space w a t e r space equals space 3.36 space cross times space 10 to the power of 5 space J space k g to the power of negative 1 end exponent right parenthesis

    A space t h e r m a l l y space i n s u l a t e d space v e s s e l space c o n t a i n s space 150 space g space o f space w a t e r space a t space 0 degree C. space T h e n space t h e space a i r space f r o m space t h e space v e s s e l space i s space p u m p e d space o u t space a d i a b a t i c a l l y. space A space f r a c t i o n space o f space w a t e r space t u r n s space i n t o space i c e space a n d space t h e space r e s t space e v a p o r a t e s space a t space 0 degree C space i t s e l f. space T h e space m a s s space o f space e v a p o r a t e d space w a t e r space w i l l space b e space c l o s e s t space t o space – space left parenthesis L a t e n t space h e a t space o f space v a p o r i z a t i o n space o f space w a t e r space equals space 2.10 space cross times space 10 to the power of 6 space J k g to the power of negative 1 end exponent space a n d space L a t e n t space h e a t space o f space f u s i o n space o f space w a t e r space equals space 3.36 space cross times space 10 to the power of 5 space J space k g to the power of negative 1 end exponent right parenthesis

    PhysicsHeat
    parallel
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    A space 25 space cross times space 10 to the power of negative 3 end exponent space space m cubed space v o l u m e space c y l i n d e r space i s space f i l l e d space w i t h space 1 space m o l space o f space O subscript 2 space g a s space a t space r o o m space t e m p e r a t u r e space left parenthesis 300 space K right parenthesis. space T h e space m o l e c u l a r d i a m e t e r space o f space O subscript 2 comma space a n d space i t s space r o o t space m e a n space s q u a r e space s p e e d comma space a r e space f o u n d space t o space b e space 0.3 space n m space a n d space 200 space m divided by s comma space r e s p e c t i v e l y. space W h a t space i s space t h e a v e r a g e space c o l l i s i o n space r a t e space left parenthesis p e r space s e c o n d right parenthesis space f o r space a n space O subscript 2 space m o l e c u l e space ? space

    A space 25 space cross times space 10 to the power of negative 3 end exponent space space m cubed space v o l u m e space c y l i n d e r space i s space f i l l e d space w i t h space 1 space m o l space o f space O subscript 2 space g a s space a t space r o o m space t e m p e r a t u r e space left parenthesis 300 space K right parenthesis. space T h e space m o l e c u l a r d i a m e t e r space o f space O subscript 2 comma space a n d space i t s space r o o t space m e a n space s q u a r e space s p e e d comma space a r e space f o u n d space t o space b e space 0.3 space n m space a n d space 200 space m divided by s comma space r e s p e c t i v e l y. space W h a t space i s space t h e a v e r a g e space c o l l i s i o n space r a t e space left parenthesis p e r space s e c o n d right parenthesis space f o r space a n space O subscript 2 space m o l e c u l e space ? space

    PhysicsHeat
    Heat
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    T h e space t e m p e r a t u r e comma space a t space w h i c h space t h e space r o o t space m e a n space s q u a r e space v e l o c i t y space o f space h y d r o g e n space m o l e c u l e s space e q u a l s space t h e i r space e s c a p e space v e l o c i t y f r o m space t h e space e a r t h comma space i s space c l o s e s t space t o space – space left square bracket B o l t z m a n n space C o n s tan t space straight k subscript straight B equals 1.38 cross times 10 to the power of negative 23 end exponent straight J divided by straight K space A v o g a d r o space N u m b e r space straight N subscript straight A equals 6.02 cross times 10 to the power of 26 divided by kg Radius space of space Earth space colon 6.4 cross times 10 to the power of 6 straight m space semicolon space Gravitational space acceleration space on space earth space open equals 10 ms to the power of negative 2 end exponent close square brackets

    T h e space t e m p e r a t u r e comma space a t space w h i c h space t h e space r o o t space m e a n space s q u a r e space v e l o c i t y space o f space h y d r o g e n space m o l e c u l e s space e q u a l s space t h e i r space e s c a p e space v e l o c i t y f r o m space t h e space e a r t h comma space i s space c l o s e s t space t o space – space left square bracket B o l t z m a n n space C o n s tan t space straight k subscript straight B equals 1.38 cross times 10 to the power of negative 23 end exponent straight J divided by straight K space A v o g a d r o space N u m b e r space straight N subscript straight A equals 6.02 cross times 10 to the power of 26 divided by kg Radius space of space Earth space colon 6.4 cross times 10 to the power of 6 straight m space semicolon space Gravitational space acceleration space on space earth space open equals 10 ms to the power of negative 2 end exponent close square brackets

    PhysicsHeat
    Heat
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    I f space 10 blank to the power of 22 space g a s space m o l e c u l e s space e a c h space o f space m a s s space 10 to the power of negative 26 end exponent space k g space c o l l i d e space w i t h space a space s u r f a c e space left parenthesis p e r p e n d i c u l a r space t o space i t right parenthesis space e l a s t i c a l l y space p e r space s e c o n d space o v e r space a n space a r e a space 1 space m squared space w i t h space a space s p e e d space 10 to the power of 4 space m divided by s comma space t h e space p r e s s u r e space e x e r t e d space b y space t h e space g a s space m o l e c u l e s space w i l l space b e space o f space t h e space o r d e r space o f space minus

    I f space 10 blank to the power of 22 space g a s space m o l e c u l e s space e a c h space o f space m a s s space 10 to the power of negative 26 end exponent space k g space c o l l i d e space w i t h space a space s u r f a c e space left parenthesis p e r p e n d i c u l a r space t o space i t right parenthesis space e l a s t i c a l l y space p e r space s e c o n d space o v e r space a n space a r e a space 1 space m squared space w i t h space a space s p e e d space 10 to the power of 4 space m divided by s comma space t h e space p r e s s u r e space e x e r t e d space b y space t h e space g a s space m o l e c u l e s space w i l l space b e space o f space t h e space o r d e r space o f space minus

    PhysicsHeat
    parallel
    Heat
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    O n e space m o l e space o f space a space m o n o a t o m i c space i d e a l space g a s space g o e s space t h r o u g h space a space t h e r m o d y n a m i c space c y c l e comma space a s space s h o w n space i n space t h e space v o l u m e space v e r s u s space t e m p e r a t u r e space left parenthesis V minus T right parenthesis space d i a g r a m. space T h e space c o r r e c t space s t a t e m e n t left parenthesis s right parenthesis space i s divided by a r e colon space left square bracket R space i s space t h e space g a s space c o n s tan t right square bracket

    O n e space m o l e space o f space a space m o n o a t o m i c space i d e a l space g a s space g o e s space t h r o u g h space a space t h e r m o d y n a m i c space c y c l e comma space a s space s h o w n space i n space t h e space v o l u m e space v e r s u s space t e m p e r a t u r e space left parenthesis V minus T right parenthesis space d i a g r a m. space T h e space c o r r e c t space s t a t e m e n t left parenthesis s right parenthesis space i s divided by a r e colon space left square bracket R space i s space t h e space g a s space c o n s tan t right square bracket

    PhysicsHeat
    Heat
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    text  The logic gate equivalent to the given logic circuit is :  end text

    text  The logic gate equivalent to the given logic circuit is :  end text

    PhysicsHeat
    Heat
    Physics

    A space p a r t i c l e space o f space m a s s space apostrophe m apostrophe space i s space m o v i n g space w i t h space s p e e d space apostrophe 2 v apostrophe space a n d space c o l l i d e s space w i t h space a space m a s s space apostrophe 2 m apostrophe space m o v i n g space w i t h space s p e e d space apostrophe v apostrophe space i n space t h e space s a m e space d i r e c t i o n. space A f t e r space c o l l i s i o n comma space t h e space f i r s t space m a s s space i s space s t o p p e d space c o m p l e t e l y space w h i l e space t h e space s e c o n d space o n e space s p l i t s i n t o space t w o space p a r t i c l e s space e a c h space o f space m a s s space apostrophe m apostrophe comma space w h i c h space m o v e space a t space a n g l e space 45 degree space w i t h space r e s p e c t space t o space t h e space o r i g i n a l space d i r e c t i o n. space space T h e space s p e e d space o f space e a c h space o f space t h e space m o v i n g space p a r t i c l e space w i l l space b e space colon space

    A space p a r t i c l e space o f space m a s s space apostrophe m apostrophe space i s space m o v i n g space w i t h space s p e e d space apostrophe 2 v apostrophe space a n d space c o l l i d e s space w i t h space a space m a s s space apostrophe 2 m apostrophe space m o v i n g space w i t h space s p e e d space apostrophe v apostrophe space i n space t h e space s a m e space d i r e c t i o n. space A f t e r space c o l l i s i o n comma space t h e space f i r s t space m a s s space i s space s t o p p e d space c o m p l e t e l y space w h i l e space t h e space s e c o n d space o n e space s p l i t s i n t o space t w o space p a r t i c l e s space e a c h space o f space m a s s space apostrophe m apostrophe comma space w h i c h space m o v e space a t space a n g l e space 45 degree space w i t h space r e s p e c t space t o space t h e space o r i g i n a l space d i r e c t i o n. space space T h e space s p e e d space o f space e a c h space o f space t h e space m o v i n g space p a r t i c l e space w i l l space b e space colon space

    PhysicsHeat
    parallel
    Heat
    Physics

    T h e space p h y s i c a l space s i z e s space o f space t h e space t r a n s m i t t e r space a n d space r e c e i v e r space a n t e n n a space i n space a space c o m m u n i c a t i o n space s y s t e m space a r e space colon space

    T h e space p h y s i c a l space s i z e s space o f space t h e space t r a n s m i t t e r space a n d space r e c e i v e r space a n t e n n a space i n space a space c o m m u n i c a t i o n space s y s t e m space a r e space colon space

    PhysicsHeat
    Heat
    Physics

    A n space H C l space m o l e c u l e space h a s space r o t a t i o n a l comma space t r a n s l a t i o n a l space a n d space v i b r a t i o n a l space m o t i o n s. space I f space t h e space r m s space v e l o c i t y space o f space H C l space m o l e c u l e s i n space i t s space g a s e o u s space p h a s e space i s space v with not stretchy bar on top space comma space m space i s space i t s space m a s s space a n d space straight k subscript straight B space i s space B o l t z m a n n space c o n s tan t comma space t h e n space i t s space t e m p e r a t u r e space w i l l space b e space

    A n space H C l space m o l e c u l e space h a s space r o t a t i o n a l comma space t r a n s l a t i o n a l space a n d space v i b r a t i o n a l space m o t i o n s. space I f space t h e space r m s space v e l o c i t y space o f space H C l space m o l e c u l e s i n space i t s space g a s e o u s space p h a s e space i s space v with not stretchy bar on top space comma space m space i s space i t s space m a s s space a n d space straight k subscript straight B space i s space B o l t z m a n n space c o n s tan t comma space t h e n space i t s space t e m p e r a t u r e space w i l l space b e space

    PhysicsHeat
    Heat
    Physics

    F o l l o w i n g space f i g u r e space s h o w s space t w o space p r o c e s s e s space A space a n d space B space f o r space a space g a s. space I f space straight capital delta straight Q subscript straight A space a n d space space straight capital delta Q subscript B a r e space t h e space a m o u n t space o f space h e a t space a b s o r b e d space b y space t h e space s y s t e m space i n space t w o space c a s e s comma space a n d space capital delta straight U subscript straight A space a n d space straight capital delta straight U subscript straight B space a r e space c h a n g e s space i n space i n t e r n a l space e n e r g i e s comma r e s p e c t i v e l y comma space t h e n space colon

    F o l l o w i n g space f i g u r e space s h o w s space t w o space p r o c e s s e s space A space a n d space B space f o r space a space g a s. space I f space straight capital delta straight Q subscript straight A space a n d space space straight capital delta Q subscript B a r e space t h e space a m o u n t space o f space h e a t space a b s o r b e d space b y space t h e space s y s t e m space i n space t w o space c a s e s comma space a n d space capital delta straight U subscript straight A space a n d space straight capital delta straight U subscript straight B space a r e space c h a n g e s space i n space i n t e r n a l space e n e r g i e s comma r e s p e c t i v e l y comma space t h e n space colon

    PhysicsHeat
    parallel
    Heat
    Physics

    F o l l o w i n g space f i g u r e space s h o w s space t w o space p r o c e s s e s space A space a n d space B space f o r space a space g a s. space I f space straight capital delta straight Q subscript straight A space a n d space space straight capital delta Q subscript B a r e space t h e space a m o u n t space o f space h e a t space a b s o r b e d space b y space t h e space s y s t e m space i n space t w o space c a s e s comma space a n d space capital delta straight U subscript straight A space a n d space straight capital delta straight U subscript straight B space a r e space c h a n g e s space i n space i n t e r n a l space e n e r g i e s comma r e s p e c t i v e l y comma space t h e n space colon

    F o l l o w i n g space f i g u r e space s h o w s space t w o space p r o c e s s e s space A space a n d space B space f o r space a space g a s. space I f space straight capital delta straight Q subscript straight A space a n d space space straight capital delta Q subscript B a r e space t h e space a m o u n t space o f space h e a t space a b s o r b e d space b y space t h e space s y s t e m space i n space t w o space c a s e s comma space a n d space capital delta straight U subscript straight A space a n d space straight capital delta straight U subscript straight B space a r e space c h a n g e s space i n space i n t e r n a l space e n e r g i e s comma r e s p e c t i v e l y comma space t h e n space colon

    PhysicsHeat
    Heat
    Physics

    F o r space a space g i v e n space a t space 1 space a t m space p r e s s u r e comma space r m s space s p e e d space o f space t h e space m o l e c u l e s space i s space 200 space m divided by s space a t space 127 º C. space A t space 2 space a t m space p r e s s u r e space a n d space a t space 227 º C comma space t h e space r m s space s p e e d space o f space t h e space m o l e c u l e s space w i l l space b e

    F o r space a space g i v e n space a t space 1 space a t m space p r e s s u r e comma space r m s space s p e e d space o f space t h e space m o l e c u l e s space i s space 200 space m divided by s space a t space 127 º C. space A t space 2 space a t m space p r e s s u r e space a n d space a t space 227 º C comma space t h e space r m s space s p e e d space o f space t h e space m o l e c u l e s space w i l l space b e

    PhysicsHeat
    Grade-7
    Physics

    A lens always forms a virtual, upright, and diminished image of an object placed in front of it. It is a ____ lens.

    A lens always forms a virtual, upright, and diminished image of an object placed in front of it. It is a ____ lens.

    PhysicsGrade-7
    parallel

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